21. Auteur - Mahler, Kurt theorem mahler, kurt (Principal) Cushing-Malloy, Inc. 1961 Ouvrage RdC (M). http://bibli.cirm.univ-mrs.fr/Auteur.htm?numrec=061039546921130

22. References For Kurt Mahler Translate this page References for kurt mahler. Oxford 6, (1935), 74-77 Zblatt 11, 117 kurt mahler1903-1988 15 30 Über transzendente P -adische Zahlen, Compositio Math. http://www.cecm.sfu.ca/Mahler/

References for Kurt Mahler An obituary of Kurt Mahler by A. J. Van Der Poorten [1] On the translation properties of a simple class of arithmetical functions (part two of: Norbert Wiener, The spectrum of an array and its application to the study of the translation properties of a simple class of arithmetical functions), J. Math. and Physics Jbuch 53, 205 ] [Remark: Reprinted in Publ. MIT Ser. II 62 No. 118 (1927)] Rendiconti del Circolo Matematico di Palermo Jbuch 56, 310 ] [Remark: Note "Lebenslauf" at end of thesis.] Math. Ann. Jbuch 54, 369 Math. Ann. Jbuch 55, 115 ; 56, 185] [Remark: Plus "Berichtigung", Math. Ann. Math. Ann. Jbuch 55, 219 [6] Zur Fortsetzbarkeit gewisser Dirichletscher Reihen, Math. Ann. Jbuch 55, 201 Math. Ann. Jbuch 56, 186 [8] Arithmetische Eigenschaften einer Klasse transzendental-transzendente Funktionen, Math. Z. Jbuch 55, 186 e und Liouvilleschen Zahlen, Math. Z. Jbuch 56, 188 Math. Ann. Zblatt 2, 184 Zblatt 3, 151 ] Work partially supported by the Australian Research Council. 1980 Mathematics subject classification(1985 revision): 01A70, 11-0314 Kurt Mahler 1903-1988 Math. Ann.

23. Sinfonien 1 Und 9 - New York Philharmonic Orchestra, Kurt Masur (Dirigent), Gust Translate this page Online Shop bestellen. - Sinfonien 1 und 9 - New York PhilharmonicOrchestra, kurt Masur (Dirigent), Gustav mahler, kurt Masur. . http://www.allscout-kultur.de/klassik/Sinfonien_1_und_9_Gustav_Mahler_Audio_CD_D

document.writeln(CategoryBar('DE','Klassik, Kultur','AllScout','AllScout','AllScout','AllScout')); AllScout Shop Tips document.writeln(SearchBox('DE','Klassik, Kultur','AllScout','AllScout','AllScout','AllScout',' ')); document.writeln('.Bücher antiquarisch.Eintrittskarten.Gemälde.Noten.Klassik, Kultur'); Zum Gesamtkatalog Sinfonien 1 und 9 New York Philharmonic Orchestra, Kurt Masur (Dirigent), Gustav Mahler, Kurt Masur Auf dieser CD 1. Sinfonie Nr. 1 D-dur (Der Titan) Komponist Gustav Mahler mit New York Philharmonic Orchestra Dirigent Kurt Masur 2. Lieder eines fahrenden Gesellen Komponist Gustav Mahler mit New York Philharmonic Orchestra , Hakan Hagegard Dirigent Kurt Masur 3. Sinfonie Nr. 9 D-dur Komponist Gustav Mahler mit New York Philharmonic Orchestra Dirigent Kurt Masur Einzelne Musiktitel 1. Langsam. Schleppend. Wie ein Naturlaut 3. Feierlich und gemessen, ohne zu schleppen 5. Wenn mein Schatz Hochzeit macht 8. Die zwei blauen Augen Sinfonien 1 und 9 New York Philharmonic Orchestra , Kurt Masur (Dirigent) , Gustav

24. Kurt%20Sanderling : Musik (Klassische) Translate this page 7 (Rachmaninoff) von Svjatoslav Richter, Sergey Rachmaninov, kurt Sanderling27. Dezember 1995. 65. Musik (Klassische) Gustav mahler Symphony No. http://www.einkaufszentrum-online.com/browse_classical_de/page_7/query_Kurt Sand

Kurt%20Sanderling Musik (Klassische) Verkaufsrang Alphabetisch (A-Z) Featured Artikel Amazon.de Preis: EUR 6,99 Sinfonie 2 / Romeo und Julia-Ouvert¼re u.a. von: Staatskapelle Dresden Kurt Sanderling (Dirigent) a./Tschaikowsky,P. Borodin Kurt Sanderling 18. M¤rz 1994 Amazon.de Preis: EUR 12,99 Meditation (Klassische Musik zum Entspannen und GenieŸen) von: Andreas Pistorius (Klavier) Siegfried St¶ckigt (Klavier) Renate Schorler (Klavier) Walter Olbertz (Klavier) ... Staatskapelle Dresden 17. Februar 2000 Amazon.de Preis: EUR 6,99 Elements Of ART - Erde von: Staatskapelle Dresden Dresdner Philharmonie Kurt Sanderling (dirigent) l.V./Bizet,G./+ Beethoven ... J¶rg-Peter Weigle 10. Februar 2000 Amazon.de Preis: EUR 10,39 Romantic Moments (Box Set) von: Romantic Moments Johann Sebastian Bach Ludwig van Beethoven Johannes Brahms ... Sergey Rachmaninov Amazon.de Preis: EUR 15,99 Perfect Beethoven [US-Import] von: L.V. Beethoven Ludwig van Beethoven Eugen Jochum George Szell ... Sir Adrian Boult Amazon.de Preis: EUR 12,99 Sinfonische Musik 1 - Musik-Biennale Berlin 69-95 von: Various Musik in Deutschland 1950-2000 10. April 2000

25. Kurt%20Masur%20 : Musik (Klassische) Translate this page Preis EUR 9,99 Amazon.de Preisänderungen möglich. Sinfonie 7 vonkurt/Gol Masur, Gustav mahler, kurt Masur 16. August 1995. 99. http://www.einkaufszentrum-online.com/browse_classical_de/page_10/query_Kurt Mas

Kurt%20Masur%20 Musik (Klassische) Alphabetisch (A-Z) Verkaufsrang Featured Artikel Amazon.de Preis: EUR 9,99 Forte - Liszt (Sinfonische Dichtungen) von: Gewandhausorchester Leipzig Kurt Masur (Dirigent) Franz Liszt Kurt Masur 28. Mai 1996 Amazon.de Preis: EUR 14,99 Schumann. Genoveva (Gesamtaufnahme) von: Edda Moser (Sopran) Gisela Schr¶ter (Alt) Peter Schreier (Tenor) Dietrich Fischer-Dieskau (Bariton) ... Gewandhausorchester Leipzig 04. Mai 1993 Amazon.de Preis: EUR 9,99 Walpurgisnacht / Melusine u.a. von: Lorenz/Moser/Masur/Gol Felix Mendelssohn Kurt Masur 06. Mai 1993 Amazon.de Preis: EUR 9,99 Sinfonien f¼r Streicher von: Gewandhausorchester Leipzig Kurt Masur (Dirigent) Felix Mendelssohn-Bartholdy Kurt Masur 04. Mai 1993 Amazon.de Preis: EUR 9,99 Violinkonzert Op. 62 / Violin-Romanze von: K./Masur,K./Bongartz/Gol Suske Ludwig van Beethoven Heinz Bongartz Kurt Masur 15. November 1996 Amazon.de Preis: EUR 9,99 Cellokonzert A-Moll / Rokoko-Variationen von: J¼rnjakob/Masur,Kurt/Gol Timm Robert Schumann Pyotr Il'yich Tchaikovsky Kurt Masur 16. M¤rz 1995 Amazon.de Preis:

26. The Mathematics Genealogy Project - Kurt Mahler Select a mirror NDSU (main) AMS Bielefeld Ole Miss IMPA. kurt mahler According toour current online database, kurt mahler has 2 students and 6 descendants. http://www.genealogy.ams.org/html/id.phtml?id=34223

27. Symphonies Classical Music 1436. Classical mahlerSymphony No.1 In D/Lieder Eines Fahrenden GesellenBy Gustav mahler, kurt Masur, Hakan Hagegard 03 November, 1992, http://www.ebroadcast.com.au/cgi-bin/buy/online-mode-classical-page_num-144-node

HOME WEBSEARCH SHOPPING ENTERTAINMENT ... Top Selling Pay by cheque, money order, or the following credit cards: Bestselling Artist Name Alphabetical (A-Z) Original Release Date Featured Items Bestsellers Classical Music > Symphonies Vive la Liberte By Hector Berlioz Emmanuel Chabrier Maurice Ravel Paul [composer] Dukas ... Brian Venture 29 January, 1993 eBroadcast's Price: All prices in US dollars. George Enescu: Symphony No. 1/Suite No. 3 By George Enescu Gennady Rozhdestvensky Marios Argiros 19 November, 1996 eBroadcast's Price: All prices in US dollars. Elgar: Symphony No. 2, Op. 63 By Edward Elgar Sir Edward Downes 01 June, 1995 eBroadcast's Price: All prices in US dollars. Skryabin: Symphony No2; Symphonic Poem in Dm By Alexander Nikolayevich Skryabin Igor Golovschin Alexander Avramenko 19 November, 1996 eBroadcast's Price: All prices in US dollars. By Richard Wagner Johannes Brahms Karl Goldmark Josef (composer) Suk ... Richard Strauss 27 December, 1994 eBroadcast's Price: All prices in US dollars. Hovhaness: Prayer of St Gregory Op62; Symphony No1 By Alan Hovhaness Gerard Schwarz Keith Brion Donald Pearson ... Ron Johnson 17 June, 1997

28. Symphonies Classical Music 1219. Classical mahlerSymphony No.1 In D/Lieder Eines Fahrenden GesellenBy Gustav mahler, kurt Masur, Hakan Hagegard 03 November, 1992, http://www.ebroadcast.com.au/cgi-bin/buy/online-mode-classical-page_num-122-node

HOME WEBSEARCH SHOPPING ENTERTAINMENT ... Top Selling Pay by cheque, money order, or the following credit cards: Bestselling Artist Name Alphabetical (A-Z) Original Release Date Featured Items Bestsellers Classical Music > Symphonies Mendelssohn: Complete String Symphonies By Felix Mendelssohn William Boughton 02 December, 1992 eBroadcast's Price: All prices in US dollars. By Ludwig van Beethoven Sergiu Celibidache 17 February, 1998 eBroadcast's Price: All prices in US dollars. Best of Beethoven By Ludwig van Beethoven Seiji Ozawa Christoph von Dohnanyi Robert Shaw ... Carol Vaness 25 June, 1990 eBroadcast's Price: All prices in US dollars. Orchestral Excerpts for Clarinet By Carl Maria von Weber Ludwig van Beethoven Hector Berlioz Johannes Brahms ... Pyotr Il'yich Tchaikovsky 23 August, 1994 eBroadcast's Price: All prices in US dollars. Dvor¡k: Requiem/Symphony 9 By Antonin Dvorak Zdenek Macal John Aler Wendy Hoffman 25 April, 2000 eBroadcast's Price: All prices in US dollars. Gustav Mahler: Symphony No. 10 in F-Sharp (edited by Remo Mazzetti, Jr.) - Saint Louis Symphony Orchestra / Leonard Slatkin By Gustav Mahler Leonard Slatkin Saint Louis Symphony Orchestra 07 November, 1995

29. Symphonies:Lots Of Good Music (Classical) mahler Symphonies 1 9 / Wayfarer Songs by Gustav mahler, kurt Masur, HakanHagegard 20 June, 2000. 1322. Classical Music Beethoven Symphonies Nos. http://classical.lotsofgoodmusic.com/us_classical-mode-classical-page_num-133-no

Lots of Good Music (Classical) Featured Product Obrigado Brazil List $18.98 Our $13.49 Navigation More Categories Chamber Music Featured Composers, A-Z Featured Performers, A-Z Historical Periods ... Top Selling Other Stores Lots Of Tools Lots Of Housewares Lots Of Children's Books Lots Of Good Movies ... Lots Of Toys Lots Of Good Music Classical Popular Other Projects Privacy Digest NewsLogs MacRonin Lots Of Great Sites ... In association with Amazon.com Only within this Category All Products Chamber Music Classical Music Featured Composers, A-Z Featured Performers, A-Z Historical Periods Instruments Symphonies Top Selling Bestselling Artist Name Alphabetical (A-Z) Original Release Date Featured Items Amazon.com's Price: Prices subject to change. by: Felix Blumenfeld Gennady Banschikov Vissarion Yakovlevich Shebalin Igor Golovschin ... Boris Shulgin 28 February, 1995 Amazon.com's Price: Prices subject to change. William Walton: A Centenary Celebration by: William Walton Neville Marriner Richard Hickox Bryden Thomson ... John Mark Ainsley 26 March, 2002 Amazon.com's Price: Prices subject to change.

30. Weber, Mendelssohn, Mahler. Leonidas Kavakos (vln), London Philharmonic Orchestr S H Concert Review Weber, Mendelssohn, mahler. Leonidas Kavakos (vln), LondonPhilharmonic Orchestra, kurt Masur, RFH, 30 th November 2002 (AR). http://www.musicweb.uk.net/SandH/2002/Aug02/WMM.htm

Founder Len Mullenger: Len@musicweb.uk.net MusicWeb Internet powered by FreeFind Weber, Mendelssohn, Mahler . Leonidas Kavakos (vln), London Philharmonic Orchestra, Kurt Masur, RFH, 30 th November 2002 (AR) Weber Overture, Oberon Mendelssohn Violin Concerto in E minor Mahler Symphony 1 in D This concert got off to a slightly shaky start, with a late comer halting the proceedings, receiving a glare from conductor. This was followed by bad horn intonation and a chorus of coughers at the opening of Weber’s Oberon Overture. Things soon improved once Masur got into gear, encouraging the London Philharmonic Orchestra to play with great style and swagger, making the music dance; an exhilarating performance perfectly paced and played. Mendelssohn’s evergreen Violin Concerto was beautifully played and imaginatively interpreted by Athens born Leonidas Kavakos playing on his 1692 Stradivarius – the ‘Falmouth’. This warhorse is played too often in a routine, mechanical way but under Kavakos one was gripped by his delicate and reserved, but highly charged and intense, way of playing. In the Allegro molto appasionato the soloist produced nerve-shattering, sharp-cutting sounds that this reviewer has never heard in this work before. Yet what made his playing so uniquely special was its refinement of tone and profound sensitivity totally devoid of the sensational.

31. Mahler: Symphony No 9 In D Minor, New York Philharmonic, Kurt Masur, Barbican 11 mahler s Ninth can be admired on many levels but kurt Masur s performancewith the New York Philharmonic presented some unusual difficulties. http://www.musicweb.uk.net/SandH/2000/june00/mahler9.htm

Concert Review Mahler: Symphony No 9 in D minor, New York Philharmonic, Kurt Masur, Barbican 11 June 2000 (MB) Mahler's Ninth can be admired on many levels but Kurt Masur's performance with the New York Philharmonic presented some unusual difficulties. On the one hand, this was a performance which didn't quite gel as a complete vision of the work. The vast first movement was beautifully held together but the overall tempo was perhaps too fast, with the cumulative power, which is so entrenched within this glorious movement, perhaps not as mighty and forbidding as one might have expected. The second movement was idiosyncratic with many wild and grotesque touches simply not indicated in my copy of the score, and there was an almost catastrophic moment at the great climax of the Adagio (m.122, just before Tempo I) when the first violins were playing a combination of up and down bow simultaneously. However, this was also a wonderfully played performance and one is tempted to dismiss these problems to get a better view of the overall picture. And dismiss them I will. This is the third Mahler 9 I have heard in London this year (the others having been Svetlanov's with the Swedish RSO and Ashkenazy's with the Philharmonia). This New York account was easily the most beautifully played, and ultimately the most moving. This was entirely the achievement of the orchestra - notably from the strings who began to impress in the third movement's shadowy pre-emption of the

32. New York Philharmonic And Music Director Kurt Masur Announce Details Of 1999 Cit Anton Seidl, Gustav mahler, and Arturo Toscanini. These conductors also programmedtheir own complete Beethoven cycles with the Orchestra. kurt Masur is the http://www.citigroup.com/citigroup/press/1999/990427a.htm

var CorporateNav = 'yes'; var ProductNav = 'yes'; var SearchNav = 'yes'; var ActivePage = 'no' Printer Friendly Page FOR IMMEDIATE RELEASE April 27, 1999 New York Philharmonic and Music Director Kurt Masur Announce Details of 1999 Citibank North America Tour New York "It's our pleasure to bring this series of international tours home to America," said Nathaniel Sutton, Director of Corporate Communications at Citigroup. "As the most global U.S.-based bank, we're proud to have played a part in bringing the musical artistry of the New York Philharmonic to Citibank communities around the world. And now that we have joined with some of America's most respected financial services names to form Citigroup, it's particularly fitting that the tour this year include stops in American cities." Two Paths , written for our own gifted viola soloists Cynthia Phelps and Rebecca Young, audiences will be left with the impression that this orchestra cannot be easily compared with any other orchestra in the world." The New York Philharmonic is by far the nation's oldest symphony orchestra and one of the oldest in the world. Its lengthy history of touring began with its 1882 tour of the United States. There was a celebrated visit to Europe in 1930 led by Arturo Toscanini, and the orchestra's first trip to the former Soviet Union under the direction of conductors Leonard Bernstein, Thomas Schippers and Seymour Lipkin came in 1959. On February 18, 1999, the Orchestra performed its 13,000

33. Kurt Und Vera Schuschnigg Translate this page Kurzbiographie. kurt und Vera von Schuschnigg und Alma mahler-Werfel. Links. Transkription. ZumSeitenanfang. kurt und Vera von Schuschnigg und Alma mahler-Werfel. http://www.libraries.psu.edu/speccolls/FindingAids/mahlerwerfel/Gratulanten/schu

34. Kurt Wolff Translate this page kurt Wolff (1887-1963). Transkription. Kurzbiographie. kurt Wolff und Alma mahler-Werfel.Links. Transkription. Zum Seitenanfang. kurt Wolff und Alma mahler-Werfel. http://www.libraries.psu.edu/speccolls/FindingAids/mahlerwerfel/Gratulanten/wolf

35. Kurt Masur - Mahler: The Complete Symphonies (Box Version) // BMG Germany/Switze Translate this page kurt Masur. mahler The Complete Symphonies (Box Version) Classic, Brilliant Classics11CD 02842199549 release28.07.03 More information www.joanrecords.com. http://www.bmg.ch/bmg/productdetails.do?Kuenstler_Nr=6522

36. SNM/DLA: Namenregister 'M' Nachlaßverzeichnis Translate this page K-26 Magris, Claudio P-40 Mahal, Günther B-74 mahler, Arnošt C-27 mahler-Werfel,Alma Michael M-44 Marshall, John K-74 Martens, Hilda B-84 Martens, kurt K-110 http://www.dla-marbach.de/kallias/hyperkuss/m-reg.html

Schiller-Nationalmuseum/ Deutsches Literaturarchiv Startseite SNM/DLA Aktuelles Marbacher Institute Kataloge des Literaturarchivs ... Weiter ] [Anfang] [ Ende Register Suche Startseite ... Hilfe Namenregister (Buchstabe 'M') hervorgehobener Link Die Buchstaben-Nummern-Kombinationen (z.B. L-21) sind Bitte geben Sie bei Anfragen unbedingt auch den Namen Maass, Alexander H-17 K-88 W-16 Maass, Edgar M-1 Maass, Joachim B-79 C-14 F-20 F-20-1 ... Z-15-1 Maassen, Carl Georg von H-90 L-17 J-7 H-20 ... S-136 Mack, Anne M-2 Mackay, John Henry M-3 M-3 Mackensen, Fritz S-76 Mackensen, Lutz S-81 V-5 Mackensen, Wolfgang D-26-1 Mackenzie, William K-36 Mackie, Philip F-17 MacLachlan, Jean K-74 Madelung, Aage F-20 L-62 Mader, Helmut G-34-2 K-89 L-46 V-3 Madol, Hans Roger M-4 W-56 B-16 D-13 ... H-34 Maeterlinck, Maurice D-15 T-6 B-27 Magel, Horst H-67 Magenau, Rudolf S-122 Mager, Karl C-23 K-22 D-30 H-88 ... J-12 Magnus, Maurice K-26 Magris, Claudio P-40 B-74 C-27 Mahler-Werfel, Alma F-20-1 G-6 H-2 K-25 ... Z-15 Mahlmann, Siegfried August R-39 Mahlow, Dietrich H-118 Mahncke, Heinz G-36 Mahrholz, Werner A-3 E-23 Maier, Gottfried M-7 W-25 Maier, Hans (Chaim)

37. HardwareHell - News - Archive ABIT AN7 (NVIDIA nForce2 Ultra 400), 1938, kurt Knudsen. Evercool K801825CAAMD Athlon 64 heatsink @ A1 Electronics, 0726, Jeremy mahler. http://www.hwhell.com/news/

NAVIGATION Home News Articles Forums ... Miscellaneous POLL Best choice at the moment? Pentium 4 Northwood Athlon XP Pentium 4 Prescott Athlon 64 FX-51 Athlon 64 (1459 votes) NETWORK FPS Hell Gamers Hell MMOG Hell Home ... Plextor PX-M402U ConvertX Plextor brings DivX, MPEG1 and MPEG2 encoding to the masses. Is it a successful attempt? And is it worth it? Read the review to find out News Archive Thursday, May 27, 2004 Time Author Extreme Mods: HTPC Case Buildup Ryan Delaney AMD 64bit CPU Targets Entry Level Market Ryan Delaney Chipset Serial ATA and Raid Performance Tests Ryan Delaney Xbox or PC? Or Maybe Both Ryan Delaney Dell Embraces PCI Express Ryan Delaney NFORCE3 250Gb Motherboard Comparison Ryan Delaney Wednesday, May 26, 2004 Time Author Cheating Video Card Benchmarks Ryan Delaney Professional Network Wiring at Home Ryan Delaney Corsair Announces New Low Latency Memory Ryan Delaney Laptop Cooling System Ryan Delaney Cisco Reveals new High Speed Router Ryan Delaney Radeon 9700 Goes Mobile Ryan Delaney Ryan Delaney Tuesday, May 25, 2004 Time Author Ryan Delaney Ryan Delaney NVIDIA GeForce 6800 Ultra goes retail Ryan Delaney Swiss Army goes USB Ryan Delaney Ryan Delaney Large LCD monitors getting faster Ryan Delaney SiS965/SiS965L Passes PCI Express test Ryan Delaney Powercolor X800 Pro Teaser Ala Shiban Monday, May 24, 2004

38. Aust. Math. Soc. Gazette Vol 24 No 5 Australian Mathematical Society Web Site the Gazette kurt mahler MathematicsPrize. The following note was sent to the Gazette by Caryn Yaacov. http://www.austms.org.au/Publ/Gazette/1997/Jan98/prize.html

Australian Mathematical Society Web Site - the Gazette Kurt Mahler Mathematics Prize The following note was sent to the Gazette by Caryn Yaacov. I am pleased to announce that the Kurt Mahler Mathematics Prize for 1997 was recently awarded to Professor Yehudah Pinchover and Professor Vladimir Lin for their work entitled "Manifolds with Group Actions and Elliptic Operators". The Mahler Prize was established in 1973 with a fund donated by the Australian number theorist, Professor Kurt Mahler, for the support of research in Pure and Applied Mathematics at the Technion - Israel Institute of Technology. This award is made annually to a member or members of Technion's Faculty of Mathematics by a committee chaired by the Institute's Vice President for Research. The committee also includes the Dean of the Faculty of Mathematics, a senior faculty member of the Mathematics Faculty, and a recognized expert in mathematics from a non-Technion body appointed by the committee chairman. Gazette should be sent to amsweb@solution.maths.unsw.edu.au

39. Mahler Lecturership Of The Australian Mathematical Society Professor kurt mahler was one of the majors characters of Australian mathematicsfrom his arrival in this country in the 1960s, until his death in 1988. http://www.austms.org.au/AMSInfo/Medal/mahler.html

Home Information Publications Directory ... Links Australian Mathematical Society Web Site The Mahler Lecturership Professor Kurt Mahler was one of the majors characters of Australian mathematics from his arrival in this country in the 1960s, until his death in 1988. The Society was a beneficiary under the will of Professor Mahler. The money from this bequest has been used to set up a visiting lectureship in his honour. The Mahler Lectureship is awarded every two years to a distinguished mathematician who preferably works in a area of mathematics associated with the work of Professor Mahler. It is usually expected that the Lecturer will speak at one of the main Society Conferences and visit as many universities as can be reasonably managed. Mahler Lecturers Year Lecturer John Coates Don Zagier Michel Mendes France Peter Hilton John H Conway Robin Thomas Hendrik Lenstra Return to Australian Math. Soc. home page. Any suggestions, complaints etc about this site should be sent to the editor, web@austms.org.au. Last update: 01/07/02

40. Transcendental.html kurt mahler (19031988). mahler contributed many, many beautifulresults to transcendence theory. He also formulated his famous A http://www.spd.dcu.ie/johnbcos/download/Public and other lectures/transcendental

Kurt Mahler (1903-1988) Mahler contributed many, many beautiful results to transcendence theory. He also formulated his famous A-, S-, T-, U-classification of real and complex numbers, and proved that almost every real or complex number is an S-number. I can't remember where I read that he used 'S' as a tribute to Siegel (can anyone confirm that?), and simply used 'T' and 'U' since they follow alphabetically! 'A', of course, is for algebraic . Originally I had quite a bit typed up of his classification - especially on its motivation - but in a bad moment I removed it, as I could see no end in sight. So, just some of Mahler's results, and I begin with one - from 1937 - which is often mentioned, possibly because it is so eye-catching: the infinite decimal 0.1 2 3 4 5 6 7 8 9 10 11 12 13... is transcendental (can you see why it is certainly irrational?). Actually Mahler's full theorem is that if f( x ) is any non-constant polynomial such that f(1), f(2), f(3), ... are all natural numbers, then the decimal formed by concatenation of those values is transcendental. The result is true, in fact, not just in base 10, but in any base 2, 3, 4, ... . Msee := proc(f, r) local a, k; a[1]:=f(1):

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  Q  R  S  T  U  V  W  X  Y  Z

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