41. Sums Of Divisors, Perfect Numbers, And Factoring New York, 1968. 4 leonard carlitz, The arithmetic of polynomials in aGalois field , Amer. Journ. Math.,54 (1932) 3950. 5 RD Carmichael http://portal.acm.org/citation.cfm?id=808680&jmp=indexterms&dl=GUIDE&dl=ACM&CFID

42. Dr. Carl Wagner, UT Math Dept graduating in 1965, and completed my doctorate in mathematics at Duke in 1969,with a dissertation on padic function theory directed by leonard carlitz. http://www.math.utk.edu/~wagner/

Dr. Carl Wagner Professor Department of Mathematics The University of Tennessee Knoxville, TN 37996 Office: (865) 974-4305 Fax: (865) 974-6576 wagner@math.utk.edu Biography I was born in Newark, New Jersey. I studied mathematics and philosophy as an undergraduate at Princeton, graduating in 1965, and completed my doctorate in mathematics at Duke in 1969, with a dissertation on p-adic function theory directed by Leonard Carlitz. I joined the mathematics faculty at the University of Tennessee in 1969. Visiting appointments have included a year as a Fellow at the Center for Advanced Study in the Behavioral Sciences at Stanford in 1988-89, and semesters as a Visiting Fellow in Philosophy at Princeton in 1990 and the University of Arizona in 1991. Research Interests Applications of Probability Theory to Decision Theory and the Philosophy of Science . My interests here center on the problem of revising a probability measure in the light of new evidence when classical conditionalization is unwarranted. I have been particularly interested in a generalization of conditionalization called "probability kinematics," due to the philosopher Richard Jeffrey, and have extended Jeffrey's approach to the case in which new evidence simply places a lower bound on possible revisions of a prior probability. I have also worked on the "old evidence problem," which asks for a probability revision method that increases the probability of an hypothesis h when it is discovered that h implies previously known evidence e (as in the case of Einstein's explanation of the heretofore anomalous advance in the perihelion of Mercury in terms of the general theory of relativity). My research in this area has been supported by NSF's Science and Technology Studies Program.

43. Finite Fields And Their Applications, Volume: 1, Issue: 2, April, 1995 Dedicated to leonard carlitz The Man and His Work. Brawley, JV pp. 135151. http://else.hebis.de/cgi-bin/sciserv.pl?collection=journals&journal=10715797&iss

44. Mostra Eventos Da Data Selecionada Translate this page Mary Somerville (matemática escocesa) 26/12/1907 Nascimento Matemática Fatos EstadosUnidos Nascimento de leonard carlitz (matemático norte-americano) 26/12 http://www.ponteiro.com.br/mostrad8.php?w=13&pg=6

45. Mostra Eventos Da Data Selecionada Translate this page Morte do matemático húngaro Józeph Miksa Petzval 17/09/1999 Morte MatemáticaFatos Estados Unidos Morte do matemático norte-americano leonard carlitz 18/09 http://www.ponteiro.com.br/mostrad8.php?w=13&pg=5

46. The Mathematics Genealogy Project - Index Of C Carlisle, IV, Charles, University of Texas at Austin, 1966. carlitz, leonard, Universityof Pennsylvania, 1930. Carlson, Billie, Carlson, Mark, Indiana University, 1982. http://genealogy.impa.br/html/letter.phtml?letter=C&fShow=1

47. Minutes Of The Board Of The Fibonacci Association 100 Pm, June 3 unanimous vote. 11. Tributes to Herta Freitag and L. carlitz A one pagetribute will appear for leonard carlitz in November. F. Howard http://www.mscs.dal.ca/Fibonacci/board/minutes00.txt

Minutes of the Board of the Fibonacci Association 1:00 p.m., June 3, 2000 Greensboro, NC Present: P. Anderson, G. Bergum, C. Cooper, K. Dilcher, F. Howard, H. Grundman, M. Johnson, C. Kimberling, P. Solsaa, and W. Webb. Absent: A. Granville, J. Lagarias 1. Minutes of last meeting The minutes of the June 19, 1999, meeting of the Board, as amended by e-mail were read again to discuss old business and were approved. 2. Report on membership and subscriptions The subscription manager's report was approved, and a copy is attached for the minutes file. Several items were discussed for clarification of policy. Amazon.com is selling our books; we should give them some profit and add a promotional sheet to the books. P. Solsaa will research our costs and the Board will vote by e-mail. Correspondence should be saved one more year than required by tax reporting P. Anderson will find out how long we should save our tax records. Renewal notices should be sent in mid-August. We should keep a list of known e-mail addresses for members in case we need a second way of communicating, such as final renewal notice. 3. Treasurer's report. The treasurer's report for 1999 dated May 18, 2000, was read and approved. A copy is attached for the minutes file. P. Anderson will report to the Board if he finds a better investment opportunity; our $40,000 CD matures in June. 4. Editor's Report Current status of papers for the Fibonacci Quarterly: 66 accepted papers in queue, requiring 484 printed pages, with 77 papers in the hands of referees. There are 5.6 issues in accepted papers. It was moved by G. Bergum, seconded by H. Grundman, to publish an extra issue June-July 2001; motion carried. We discussed format of submissions; this should be discussed every year. Where are we moving regarding electronic submission and access? K. Dilcher will share CMS report with us. Charlie Cook's Index of the Fibonacci Quarterly will be placed on the internet. 5. Conference Organizer's Report The Luxembourg Conference is scheduled from July 17 to July 22, 2000. So far, 49 abstracts have been received and accepted; the deadline has been extended to June 14. We discussed the treatment of the Proceedings by Math Reviews. We will discuss whether or not to publish a conference proceedings at our next meeting. K. Dilcher will find out how Zentralblatt handles conference proceedings. A conference proceedings for 2002 will be an agenda item for the June, 2001, Board Meeting. C. Kimberling moved and H. Grundman seconded a motion to adopt the statement, "The Fibonacci Association does not provide financial assistance for conference participants"; motion carried. 6. Revision of Bylaws After discussion, it was moved by H. Grundman and seconded by C. Kimberling to adopt the revised bylaws; the motion carried unanimously. A copy of the accepted draft is attached to these minutes. 7. Travel expenses for board members G. Bergum moved and H. Grundman seconded, that all board members who attend board meetings will be reimbursed for out of pocket expenses for travel, room, and board; motion carried. G. Bergum moved, and W. Webb seconded, a motion that all persons invited to report to the board at a meeting will be reimbursed for out of pocket expenses for travel, room and board; motion carried. H. Grundman moved and G. Bergum seconded the following: The Board of Directors will decide whether or not to hold a given board meeting in conjunction with an international meeting; motion carried. 8. International Meeting 2002 The Board voted to accept C. Long's offer to host the 2002 Conference at Northern Arizona University. 9. Proposal for new column for Quarterly In 1993 A. Granville and J. Lagarias proposed a column on applications of elementary sequences which was approved by the Board at that time but was never implemented. While this would generate interest, with our backlog of accepted articles we do not want to undertake a column to appear in each issue. F. Howard will discuss publishing a sample paper on applications with A.G. and J. L. 10. Board Member Emeritus Calvin Long was named Board Member Emeritus by unanimous vote. 11. Tributes to Herta Freitag and L. Carlitz A one page tribute will appear for Leonard Carlitz in November. F. Howard will ask Margie Ribble to write a one page memorial tribute for Herta Freitag to appear later. 12. Board Membership After Board action, the expiration years for members of the Board are: M. Johnson, H. Grundman, C. Kimberling: 2003; K. Dilcher, F. Howard, W. Webb: 2002; P. Anderson, G. Bergum, A. Granville, J. Lagarias: 2001. C. Cooper, with his status as editor, continues as an ex-officio member. Terms for officers: F. Howard, President through 2002; W. Webb, Vice-President through 2002; P. Anderson, Treasurer through 2001; M. Johnson, Secretary through 2003. 13. Donation of Domain Names After discussion, H. Grundman moved and C. Kimberling seconded a motion to decline the donation of domain names received by P. Anderson. Motion carried. 14. Fibonacci Quarterly Website C. Kimberling, G. Bergum, and K. Dilcher will communicate on links and ways to improve our website. If we can get the domain name fibonacci.org then the Fibonacci Quarterly website can be a link. H. Grundman moved, C. Kimberling seconded, a motion to authorize the treasurer to pay for fibonacci.org if that domain name is available; motion carried. 15. The next meeting of the Board will be in June, 2001, time and place to be set through memos from F. Howard. Meeting adjourned at 5:30 p.m. Marjorie Bicknell-Johnson, Secretary

48. MINUTES OF THE BOARD OF THE FIBONACCI ASSOCIATION Sunday, April 25 Local arrangements Dr. Alexanderson and Prof. Klosinki. Program Chairman Dr.Hoggatt. It was suggested that we invite leonard carlitz. 4. Newsletter. http://www.mscs.dal.ca/Fibonacci/board/minutes76b.txt

MINUTES OF THE BOARD OF THE FIBONACCI ASSOCIATION Sunday, April 25, 1976 University of Santa Clara Present: Dr. Verner E. Hoggatt, Jr., Dr. G. L. Alexanderson, Prof. Leonard Klosinski, George Ledin, and Marjorie Bicknell 1. Extra Issue. After all expenses are paid, the Fibonacci Association should have a balanced of $5000 at the end of 1976. Funds for an extra issue were approved. We have a bid from a type-setter for $400 less than the Clear Lake typist. We will try the new type-setter for the extra issue. 2. Expansion of Board to include someone not in Bay Area. It was agreed to ask Gerald Bergum to join the Board, pending reading of the by-laws to find out if this is consistent with the articles of incorporation. 3. Fall Conference October, 1976. Date set: Saturday, October 16, 1976, at University of Santa Clara. Local arrangements: Dr. Alexanderson and Prof. Klosinki. Program Chairman: Dr. Hoggatt. It was suggested that we invite Leonard Carlitz. 4. Newsletter. Continue for this year as commitment to members of the Association. Members of the Board agreed upon replacing the newletter with a News and Notices section in the Quarterly: one page. 5. Fibonacci Information Brochure. Marjorie Bicknell to continue working on bringing it up to date. Then give to new type-setter. Copy of "History of Fibonacci Association" included with minutes for Board members' comments, etc., to be returned to M. Bicknell. 6. Pending business. Volume index. Reprints versus extra copies of magazine; number of reprints? No future date set for meeting of Board. Marjorie Bicknell

49. HLAVATY MSS. II Buþek, Eugen Budde, Ranier Burghardt, Herbert Busemann, Elmore Everest Butterfield,Stewart Scott Cairns, Nigel Calder, leonard carlitz, Robert Daniel http://www.indiana.edu/~liblilly/lilly/mss/html/hlavaty2.html

HLAVATY MSS. II Correspondence with friends in Czechoslovakia and different parts of the world deals almost exclusively with personal and family matters. About thirty percent of all of the correspondence is in Czech and some in Slovak. Collection size: 8,012 items For more information about this collection and any related materials contact the Manuscripts Department, Lilly Library, Indiana University, Bloomington, IN 47405 Telephone: (812) 855-2452.

50. This Week In The Mathematics ArXiv (12 Jun - 16 Jun) By Greg Kuperberg math.CO/0006106 http//front.math.ucdavis.edu/math.CO/0006106 leonard M. SmileyCompletion of a Rational Function Sequence of carlitz math.CO/0006097 http http://mathforum.org/epigone/sci.math.research/whaxfixvax

This week in the mathematics arXiv (12 Jun - 16 Jun) by Greg Kuperberg reply to this message post a message on a new topic Back to sci.math.research Subject: This week in the mathematics arXiv (12 Jun - 16 Jun) Author: greg@math.ucdavis.edu Organization: UC Davis Department of Mathematics Date: 22 Jun 2000 16:30:04 -0500 Here are this week's titles in the mathematics archive, available at: http://front.math.ucdavis.edu/ Instructions for contributing articles are available at: http://front.math.ucdavis.edu/submissions http://front.math.ucdavis.edu/math.AG/0006110 http://front.math.ucdavis.edu/math.AG/0006107 http://front.math.ucdavis.edu/math.AG/0006099 ... The Math Forum

51. Rinovia Simanjuntak: Erdos Number There are eight authors with more than 500 papers Paul Erdös with 1475, Drumi Bainov(Erdös number 4) with 782, leonard carlitz (2) with 730, Lucien Godeaux http://www.cs.newcastle.edu.au/~rino/erdos.html

M y E N umber home resume research academic family tree miscellaneous links contact my other page God has the Big Book, the beautiful proofs of mathematical theorems are listed here. Paul who is what is an stats and facts W ho is E Links: A biography by The MacTutor History of Mathematics Archive in The New York Times. - www.paulerdos.com, a complete and well-mantained website by Paul Hoffman. - a page by The Computer Science Department at the University of Chicago. E english english English Fascist Anyone or anything annoying Epsilon Child or a little Order Mahler, OM (named after Mahler, one of the worst bridge players in Manchester) Someone performing very poorly Noise Classical music Boss Woman Poison Any alcoholic beverage Slave Man To preach To give a math lecture Do you exist? Are you awake? To die To stop doing math When did you arrive? When were you born? Captured Married To leave To die What was that when it was alive? What kind of meat is this? Liberated Divorced Sam U.S. My brain is open. I'm ready to do mathematics. Recaptured Remarried Joe U.S.S.R.

52. Rinovia Simanjuntak: There are eight authors with more than 500 papers Paul Erdös with 1475, DrumiBainov (Erdös number 4) with 782, leonard carlitz (2) with 730, Hari M. http://www.cs.newcastle.edu.au/~rino/erdos.htm

H ome M y E r d s N u m b e r resume schedule research teaching ... my other page God has the Big Book, the beautiful proofs of mathematical theorems are listed here Paul Erdös W ho is Erdös? A Hungarian mathematician with no home and no job, Paul Erdös was the incredibly prolific mathematician of the highest caliber. He, who died at age 83 in September 1996, wrote hundreds of mathematical research papers in many different areas, many in collaboration with others. Erdös's motto was not ‘Other cities, other maidens’ but ‘Another roof, another proof.’ He did mathematics in more than 25 different countries, completing important proofs in remote places and sometimes publishing them in equally obscure journals. Concentrating fully on mathematics, Erdös traveled from meeting to meeting, carrying a half-empty suitcase and staying with mathematicians wherever he went. His colleagues took care of him, lending him money, feeding him, buying him clothes and even doing his taxes. In return, he showered them with ideas and challenges - with problems to be solved and brilliant ways of attacking them. Links A biography by The MacTutor History of Mathematics Archive Gina Colata’s obituary of Erdös in The New York Times.

53. Turing.wins.uva.nl/~thk/opsfnet/8.5 5. OPSFA Patras Proceedings 6. Indian book on Selected Topics in Special Functions 7. George Andrews Festschrift 8. Death of leonard carlitz 9. Question on http://turing.wins.uva.nl/~thk/opsfnet/8.5

Subject: Nominations SIAM has accepted the report of the nominating committee for the upcoming election of officers of our Group, for the period January 1, 2002 to December 31, 2004. The candidates are as follows: Chair Daniel Lozier, National Institute for Standards oand Technology Vice Chair Charles Dunkl, University of Virginia Walter Van Assche, Katholieke Universiteit Leuven Secretary Peter Clarkson, University of Kent at Canterbury Peter McCoy, US Naval Academy Program Director Francisco (Paco) Marcellan, Universidad Carlos III de Madrid Candidates have been invited to submit biographies and statements and SIAM will shortly send ballots to the members of the Activity Group. Topic #2 - OP-SF NET 8.5 September 15, 2001 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Tel Aviv Workshop on Approximation Theory [From AT-NET BULLETIN NO. 106, 25.8.2001] Workshop on Approximation Theory Celebrating Dany Leviatan's 60th Birthday February 20 - 21, 2002 Tel-Aviv Information: http://www.math.tau.ac.il/~levin/ws2002.html Organizing Committee: Nira Dyn, David Levin, Allan Pinkus Topics: Abstract and Classical Approximation Theory; Orthogonal Polynomials; Wavelets; Non-linear Approximation; Ridge Functions; Shape Preserving Approximation. Present List of International Participants: Bruce Chalmers (Riverside), Albert Cohen (Paris VII), Wolfgang Dahmen (Aachen), Ron DeVore (South Carolina), Zeev Ditzian (Edmonton), Manfred v. Golitschek (Wurzburg), Viktor Konovalov (Kiev), Giuseppe Mastroianni (Potenza), Paul Nevai (Ohio), Konstantin Oskolkov (South Carolina), Igor Shevchuk (Kiev), Jozsef Szabados (Budapest), Vladimir Temlyakov (South Carolina). Participation is by invitation only. People interested in attending should contact one of the organizers. Topic #3 - OP-SF NET 8.5 September 15, 2001 ~~~~~~~~~~~~~ From: OP-SF NET Editor

54. Turing.wins.uva.nl/~thk/opsfnet/3.3 University. He completed the degree in 1958 with a thesis On the BesselPolynomials written under the supervision of leonard carlitz. By http://turing.wins.uva.nl/~thk/opsfnet/3.3

Subject: errata and additions to earlier issues of OP-SF Net Re: OP-SF Net 3.1, Topic #10 (XVth Workshop on Geometric Methods in Physics, Bialowieza, Poland) This meeting does not take place in 1997 but in 1996: XVth Workshop on Geometric Methods in Physics Quantizations, deformations and coherent states Bialowieza, Poland, July 1-7, 1996 Re: OP-SF Net 3.2, Topic #6 (Special Functions session at International Joint Mathematics Meeting, Antwerp, Belgium) The title of H. Bavinck's lecture has changed to "A new result for Laguerre, Charlier, and Meixner polynomials" Topic #3 - OP-SF NET May 16, 1996 ~~~~~~~~~ From: Gradimir V. Milovanovic Subject: Symmetries and Integrability of Difference Equations, Canterbury The Conference on Symmetries and Integrability of Difference Equations, University of Kent, Canterbury, July 1st-5th 1996 was announced in OP-SF Net 2.4, Topic #6. A second announcement, with a preliminary list of speakers and information about registration is now available at WWW: http://stork.ukc.ac.uk/IMS/maths/SIDE96/ Topic #5 - OP-SF NET May 16, 1996 ~~~~~~~~~ From: OP-SF Net editor Subject: WWW and ftp addresses A more comprehensive list of ftp and WWW addresses relevant for our field is available at the home page of the Activity Group WWW: http://www.math.yorku.ca/Who/Faculty/Muldoon/siamopsf/ under "Links to WWW pages of interest to members" This list will be regularly updated, and the changes will be mentioned in OP-SF Net. Please mail corrections and additions for this list to Martin Muldoon

55. Erdos2, Version 2001, January 30, 2001 This Is A List Of The 6127 Translate this page carlitz, leonard BRENNER, JOEL LEE* BRILLHART, JOHN D. HOGGATT, VERNER E., JR.* KLAMKIN,MURRAY S. MOSER, LEO* STRAUS, ERNST GABOR* SUBBARAO, MV Carlson, Bille http://www.control.auc.dk/~jakob/erdos/erdos2.html

Erdos2, Version 2001, January 30, 2001 This is a list of the 6127 persons with Erdos number equal to 2, together with their co-authors who have Erdos number 1 listed beneath them. An asterisk following the name indicates that this Erdos co-author is known to be deceased; additional information about the status of Erdos co-authors would be most welcomed. (This convention is not used for those with Erdos number 2, as to do so would involve too much work.) Please send corrections and comments to . The Erdos Number Project Web site can be found at the following URL:

56. ARTICLE {mALA64a, AUTHOR= JD Alanen And DE Knuth , TITLE= Tables TITLE = {On the minimal polynomial of the product of linear recurring sequences},NOTE = {Special issue dedicated to leonard carlitz}, JOURNAL = {Finite Fields http://www.iro.umontreal.ca/~lecuyer/latex/lecuyer/bib/math.bib

57. Finite Fields And Their Applications, Volume: 6, Issue: 3, July, 2000 leonard carlitz (1907–1999). Brawley, Joel V. pp. 203206. http://elsevier.lib.sjtu.edu.cn/cgi-bin/sciserv.pl?collection=journals&journal=1

58. Here Are The Names Currently [April 1999] In The Index At Http Cardano, Geronimo Cardano, Girolamo Cardoso, JF Cardwell, Neal Carena, Andrea Carey,RW Carleman, Torsten Carleson, Lennart carlitz, leonard Carlotto, MArk J http://www.math.niu.edu/~rusin/known-math/99/photos

59. Terminkalender Translate this page Geburtstag Sterbetag Condorcet (1743), Riemann (1826), Hans Freudenthal (1905),Marshall Hall (1910) Talbot (1877), Petzval (1891), leonard carlitz (1999). http://www.fmi.uni-leipzig.de/aktuell/termine.html

Mathematisches Institut Terminkalender gekennzeichnet! Freitag Geburtstag: Sterbetag: Reynaud Curry 15 Uhr c.t. Institutskolloquium Elliott Lieb (Princeton University, Department of Mathematics) To be announced Samstag Geburtstag: Sterbetag: Blaschke Sonntag Geburtstag: Sterbetag: Bugaev Henry Fine Vinogradov Calderon ... Boone Montag Geburtstag: Sterbetag: al-Biruni Kreisel Serre Plateau Dienstag Geburtstag: Sterbetag: Maurolico Tetens Friedmann Nielsen ... Shields Mittwoch Geburtstag: Sterbetag: Condorcet Riemann Hans Freudenthal Marshall Hall ... Leonard Carlitz Donnerstag Geburtstag: Sterbetag: Legendre Euler Hans Ferrel Bernays Freitag Geburtstag: Sterbetag: Delambre McClintock Alexander Coriolis Samstag Geburtstag: Sterbetag: Brill Cole Hecke Stewartson ... Pasch Sonntag Geburtstag: Sterbetag: Denes Konig Schauder Phyllis Nicolson Cardan ... Milne Montag Geburtstag: Sterbetag: Ruffini Puissant Sturm Viviani ... Ehresmann Dienstag Geburtstag: Sterbetag: Wallace Ellen Hayes Dantzig Jungius ... Alexander Mittwoch Geburtstag: Sterbetag: Cardan de Witt Ostrogradski Max Noether ... Shnirelman Donnerstag Geburtstag: Sterbetag: Salmon Mazurkiewicz Alexander Ostrowski Lambert ... Ehrenfest Freitag Geburtstag: Sterbetag: 'sGravesande MacMahon Reichenbach Giulio Fagnano ... Thiele Samstag Geburtstag: Sterbetag: Kaestner Tarry Appell Hedrick ... Edge Sonntag Geburtstag: Sterbetag: Boulliau Maupertuis Budan de Boislaurent Coolidge ... Leech Montag Geburtstag: Sterbetag: Roomen Steinitz Dickstein Engel Dienstag Geburtstag: Sterbetag: Adrain Wolstenholme Hellinger Struik ... Richardson Ende des Sommersemesters 2003 Mittwoch Geburtstag: Sterbetag: Grandi Simson Jourdain Campbell ... Herbert Seifert Beginn des Wintersemesters 2003/2004

60. Integer And Rational Arithmetic L. carlitz, Note on irreducibility of the Bernoulli and Euler polynomials, DukeMath. PA leonard, On factoring quartics (mod p), J. Number Theory 1 (1969) 113 http://www1.elsevier.com/homepage/sac/cam/mcnamee/20.htm

Integer and rational arithmetic J.A. Abbott, R.J. Bradford and J.H. Davenport, A remark on factorisation, SIGSAM Bull. L. Adleman and H. Lenstra, Finding irreducible polynomials over finite fields, in: Proc. 18th Annual ACM Symp. on Theory of Computing L.M. Adleman and A.M. Odlyzko, Irreducibility testing and factorization of polynomials, in: Proc. 22nd IEEE Symp. Foundations of Computer Science L.M. Adleman, K. Mander and G. Miller, On taking roots in finite fields, in: Proc. 18th IEEE Symp. Foundations of Computer Science L.M. Adleman, K. Manders and G. Miller, On taking roots in finite fields, in: Proc. 18th Annual Symp. on Foundations of Computer Science , IEEE Computer Society, Providence, RI (1977) 175178. S. Agou, Factorization sur un corps fini F p n f(X s lorsque f(X) F p n [X] Enseign. Math. Acta Arith. F p s f(X p r -aX) J. Reine Angew. Math. i=0 m a i X p i sur un corp fini F p i Canad. Math. Bull. f(X p -aX p r -bX) sur un corps fini F p s J. Number Theory f(x p - ax p r -bx) sur un corp fini F p r J. Number Theory S. Agou, Factorization sur un corp fini F p n F(x p n -ax) , lorsque f(x) F p n [X] J. Number Theory

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