1. Carlitz Leonard Carlitz. Born 26 Dec 1907 in Leonard Carlitz' father was a Ukrainianwhile his mother was a Latvian. They were a Jewish family http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Carlitz.html

Leonard Carlitz Born: 26 Dec 1907 in Philadelphia, Pennsylvania , USA Died: 17 Sept 1999 in Pittsburgh, Pennsylvania , USA Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Leonard Carlitz' father was a Ukrainian while his mother was a Latvian. They were a Jewish family who emigrated with Leonard's four grandparents to the United States around 1890. Leonard attended school in Philadelphia and his remarkable academic talents were clear at this time. These talents led to him being awarded a scholarship to study mathematics at the University of Philadelphia. He graduated with a A.B. in mathematics in 1927, completing his Master's degree in mathematics the following year. On completing his Master's degree, Carlitz remained at the University of Philadelphia to study for his doctorate which was supervised by H H Mitchell (a student of Veblen ). He became interested in Artin 's early work which was on quadratic number fields, in particular the analytic and arithmetic theory. In 1927 Artin made a major contribution to the theory of noncommutative rings, called hypercomplex numbers at this time. Inspired by

2. HISTORICAL THINGS IN NUMBER THEORY Bukhshtab (RMS); Leonard carlitz leonard Carlitz (MacTutor); LeonardCarlitz (19071999) (NAMS). Eugène Charles Catalan (MacTutor); Nikolai http://www.math.uga.edu/~ntheory/N14.html

Historical things in Number Theory History of Number Theory (Franz Lemmermeyer) Some biographies of past contributors to number theory Cornell Digital Library Math Collection : Old Mathematics books listed by Title - including Hensel, Sommer Mathematicians of the Seventeenth and Eighteenth Centuries , Hasse's work on the Riemann hypothesis for curves over finite fields - An historical perspective by Professor Peter Roquette (plus notes on class-field theory, Artin L-functions, Erich Hecke) Two Hundred Years of Number Theory after Carl-Friedrich Gauss's Disquisitiones Arithmeticae , A list of lectures at an Oberwolfach conference, June 17-23, 2001 Aus der Geschichte der Zahlentheorie (Wolfgang Schwarz - pdf) Biographies The Man Who Knew Infinity (A life of the genius Ramanujan), R. Kanigel, Washington Square Press 1992 The Apprenticeship of a Mathematician Prizes Henryk Iwaniec, Peter Sarnak and Richard Taylor receive the 7th Ostrowski Prize Kevin Buzzard wins 2002 LMS Whitehead Prize Susan Howson wins 2002 Cambridge University Adams Prize Henryk Iwaniec receives 2002 AMS Cole Prize ... Don Zagier receives Von Staudt Prize , Notices of the AMS, September 2001 Henri Cohen receives the F.L. Bauer Prize

3. UntitledThis Page Is Quoted From Jerry Grossman, See Link Below. Kumar VIJAYAN, Carleson, Lennart. carlitz, leonard. Carlotto, MArk J. Carlson, D. http://www.cs.unlv.edu/~bein/erdos/Erdos2.txt

This page is quoted from Jerry Grossman, see link below. It may be outdated, please go to his page for the current information: Erdos2, Version 1999, February 4, 1999 This is a list of the 5608 persons with Erdos number equal to 2, together with their co-authors who have Erdos number 1 listed beneath them. Please send corrections and comments to . The Erdos Number Project Web site can be found at the following URL:

4. Carlitz Biography of leonard carlitz' (19071999) leonard carlitz. Born 26 Dec 1907 in Philadelphia, Pennsylvania , USA http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Carlitz.html

Leonard Carlitz Born: 26 Dec 1907 in Philadelphia, Pennsylvania , USA Died: 17 Sept 1999 in Pittsburgh, Pennsylvania , USA Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Leonard Carlitz' father was a Ukrainian while his mother was a Latvian. They were a Jewish family who emigrated with Leonard's four grandparents to the United States around 1890. Leonard attended school in Philadelphia and his remarkable academic talents were clear at this time. These talents led to him being awarded a scholarship to study mathematics at the University of Philadelphia. He graduated with a A.B. in mathematics in 1927, completing his Master's degree in mathematics the following year. On completing his Master's degree, Carlitz remained at the University of Philadelphia to study for his doctorate which was supervised by H H Mitchell (a student of Veblen ). He became interested in Artin 's early work which was on quadratic number fields, in particular the analytic and arithmetic theory. In 1927 Artin made a major contribution to the theory of noncommutative rings, called hypercomplex numbers at this time. Inspired by

5. References For Carlitz References for leonard carlitz'. Articles JV Brawley, Dedicated to leonardcarlitz the man and his work, Finite Fields Appl. 1 (2) (1995), 135151. http://www-gap.dcs.st-and.ac.uk/~history/References/Carlitz.html

References for Leonard Carlitz' Articles: J V Brawley, Dedicated to Leonard Carlitz : the man and his work, Finite Fields Appl. D R Hayes, Introduction to : "Chapter 19 of "The arithmetic of polynomials", Finite Fields Appl. G L Mullen, Permutation polynomials : A matrix analogue of Schur's conjecture and a survey of recent results, Finite Fields Appl. Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR May 2000 School of Mathematics and Statistics University of St Andrews, Scotland The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/References/Carlitz.html

6. Leonard Carlitz (19071999), Volume 48, Number 11 David R. Hayes. leonard carlitz died on September 17, 1999, at the http://www.ams.org/notices/200111/comm-carlitz.pdf

7. Math2.math.nthu.edu.tw/jcchuan/note/carlitz2 MathSci Disc 1980 1987 1 of 61 AU- carlitz,-leonard TI- Somerestricted multiple sums. JN- Fibonacci-Quart. The-Fibonacci http://math2.math.nthu.edu.tw/jcchuan/note/carlitz2

8. References For Carlitz References for the biography of leonard carlitz' J V Brawley, Dedicated to leonard carlitz the man and his work, Finite Fields Appl. http://www-history.mcs.st-and.ac.uk/References/Carlitz.html

References for Leonard Carlitz' Articles: J V Brawley, Dedicated to Leonard Carlitz : the man and his work, Finite Fields Appl. D R Hayes, Introduction to : "Chapter 19 of "The arithmetic of polynomials", Finite Fields Appl. G L Mullen, Permutation polynomials : A matrix analogue of Schur's conjecture and a survey of recent results, Finite Fields Appl. Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR May 2000 School of Mathematics and Statistics University of St Andrews, Scotland The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/References/Carlitz.html

9. Carlitz Portrait Portrait of leonard carlitz' leonard carlitz'. JOC/EFR August 2001 http://www-history.mcs.st-and.ac.uk/~history/PictDisplay/Carlitz.html

Leonard Carlitz' JOC/EFR August 2001 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/PictDisplay/Carlitz.html

10. NEW LISTINGS, NUMBER THEORY WEB: November 2000-December 2001 September 2001. 11th November 2001. leonard carlitz (19071999), DRHayes, Notices of the AMS. 48, Dec 2001. 9th November 2001. Local http://www.math.uga.edu/~ntheory/additions6.html

New Listings, Number Theory Web: November 2000-December 2001 All listings 25th December 2001 Search the first four billion binary digits of Pi for a string (David Bailey) 20th December 2001 GIF Images for Math Symbols (Norman McGill) 18th December 2001 Shaun Cooper The 4th Panhellenic Conference on Algebra and Number Theory , May 30-June 2, 2002, University of Patras, Greece 17th December 2001 The Modular Curves Lunch/Seminar Lucia Di Vizio 16th December 2001 , June 20-22 2002 (Iwasawa Theory of Number Fields and Elliptic Curves) 13th December 2001 Nathan Ng Tables of Bernoulli computations, irregular pairs, Vandiver and cyclotomic residues, relative class number computations 9th December 2001 The Number Theory Research Group at the University of British Columbia 5th December 2001 SECANTS 16 , February 2 2002, Royal Holloway, University of London Second Central European Conference on Cryptography, July 4-6, 2002, Debrecen, Hungary 1st December 2001 Johnny Edwards 30th November 2001 Geometry of numbers , C.D. Olds, A. Lax, G. Davidoff, New Library Series , MAA 2000 ( Review by Henry Cohn) 27th November 2001 Number Theory for the Millennium I, II, III

11. Edos Number Erdos1, Version 2002, February 2, 2002 This is a list of the 507 coauthors of Paul Erdos, together with their co-authors listed beneath them. W., Jr. BROWN, WILLIAM G. Brualdi, Richard A. carlitz, leonard Carlson, Bille Chandler Charnow, Allen K. Cooke, Kenneth http://www.acs.oakland.edu/~grossman/Erdos1

Erdos1, Version 2002, February 2, 2002 This is a list of the 507 co-authors of Paul Erdos, together with their co-authors listed beneath them. The date of first joint paper with Erdos is given, followed by the number of joint publications (if it is more than one). 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:

12. SIAM AG On Orthogonal Polynomials And Special Functions Topic 8 OP-SF NET 8.5 - September 15, 2001 ~~~~~From OPSF NET Editor Subject Death of leonard carlitz Thanks to Tom http://gams.nist.gov/opsf/personal/carlitz.html

SIAM AG on Orthogonal Polynomials and Special Functions OP-SF WEB Extract from OP-SF NET Topic #8 - OP-SF NET 8.5 September 15, 2001 ~~~~~~~~~~~~~ From: OPSF NET Editor Subject: Death of Leonard Carlitz Thanks to Tom Koornwinder for pointing out that the July 2001 issue of the Notices of the American Mathematical Society mentioned that Leonard Carlitz died in 1999 and that MathSciNet refers to obituaries by F. T. Howard in Fibonacci Quart. 38 (2000), no. 4, 316, and by Joel V. Brawley in Finite Fields Appl. 6 (2000), no. 3, 203-206. Back to Home Page of SIAM AG on Orthogonal Polynomials and Special Functions Page maintained by Bonita Saunders

13. Oct Ober Welc Ome leonard carlitz. leonard carlitz retired James B Duke Pro http://www.math.duke.edu/math_news/October99.pdf

14. SIAM AG On OP And SF - Problems Functions. Personal, Obituaries, etc. Death of leonard carlitz; HonoraryDoctorate for Ian Macdonald; Eduardo Sontag Wins Reid Prize; http://gams.nist.gov/opsf/personal.html

SIAM AG on Orthogonal Polynomials and Special Functions Personal, Obituaries, etc. Death of Leonard Carlitz Honorary Doctorate for Ian Macdonald Eduardo Sontag Wins Reid Prize Death of Arpad Elbert ... Vasily Borisovich Uvarov 1929-1997 A. Nikiforov Ian Macdonald to give plenary lecture at ICM Arno Kuijlaars receives 1998 Popov prize Wilf and Zeilberger win Steele prize Death of Louis Auslander ... Gabor Szego - One Hundred Years Richard Askey Celebration of Gabor Szego in Hungary Back to home page of SIAM Activity Group on Orthogonal Polynomials and Special Functions Revised October 1, 2001

15. Members Of The School Of Mathematics CARAYOL, Henri, 198384. CARDOSO, Fernando, 1972-74. CARLESON, Lennart AE, 1961-62,1988-89. carlitz, leonard, 1935-36. CARNAP, Rudolf, 1952-54. CARR, Danielle, 1997-98. http://www.math.ias.edu/cnames.html

CABRE, Xavier CAGLE, Fredric W. CAIRNS, Stewart S. CALABI, Eugenio CALDERÓN, Alberto P. CALKIN, John W. CALLAHAN, Thomas H. CALLOWAY, Jean M. CAMERON, Robert H. CAMPBELL, Alan D. CANDEL, Alberto CANNAS DA SILVA, Ana CANNON, James W. CANO, José CANTOR, Murray R. CANTRELL, James C. CANTWELL, John C. CAO, Huai-Dong CAO, Jianguo CAPALBO, Michael CAPPELL, Sylvain CARAYOL, Henri CARDOSO, Fernando CARLESON, Lennart A.E. CARLITZ, Leonard CARNAP, Rudolf CARR, Danielle CARTAN, Henri CARTER, Roger CARTIER, Pierre CASERTA, Francesco CASIAN, Luis G. CASSELMAN, William A. CASSOU-NOGUES, Philippe CASSOU-NOGUES, Pierrette CATANESE, Fabrizio M.E. CECH, Eduard CERF, Jean CHAI, Ching-Li CHAN, Heng-Huat CHANDRASEKHARAN, Komaravolu CHANG, Chen Chung CHANG, Chin-Huei CHANG, Mei Chu CHANG, Shih-Hsun CHANG, Sun-Yung A. CHANG, Tsung S. CHANILLO, Sagun CHAPMAN, Thomas A. CHARI, Vyjayanthi CHARLAP, Leonard S. CHARNEY, Jule G. CHARNEY, Ruth CHARPENTIER, Marie CHASE, Stephen U. CHAYES, Jennifer CHEEGER, Jeff CHEIN, Joseph E.Z. CHEN, Chiang-Jun CHEN, Kien-Kwong CHEN, Kuo-Tsai CHEN, Weimin

16. Table Of Contents Translate this page 17. . ARTICLE, carlitz, leonard Weighted quadratic partitions (mod pr). 40.. ARTICLE, Wang, Hao The categoricity question of certain grand logics. 47.. http://134.76.163.65/agora_docs/157574TABLE_OF_CONTENTS.html

Mathematische Zeitschrift Bibliographic description for this electronic document This is volume 59 of Mathematische Zeitschrift TITLE PAGE IMPRINT TABLE OF CONTENTS ARTICLE Huppert, Bertram ... Browsing list

17. Discrete Mathematicians And Their Citations In The AMS MathSciNet Erdos, Paul, dec. 1531, 1939. carlitz, leonard, dec. 735, 1939, Durham, NC. Shelah,Saharon, 596, 1969. Harary, Frank, 550, 1949, New Mexico State Univ., Las Cruces. http://www.cs.clemson.edu/~hedet/discretemath.html

18. The Mathematics Genealogy Project - Index Of CAR Carlisle, IV, Charles, University of Texas at Austin, 1966. carlitz, leonard, Universityof Pennsylvania, 1930. Carlson, Billie, Carlson, Mark, Indiana University, 1982. http://genealogy.math.ndsu.nodak.edu/html/letter.phtml?letter=CAR

19. Ph.d’s carlitz, leonard, 1930 (HH Mitchell), Galois fields of certain types. McDonough,Donald L. 1931 (HH Mitchell), On the expansion of a certain type of determinant. http://www.math.upenn.edu/History/math-phds1.html

All the Penn Math Ph.D.'s Ph.D.'s in Mathematics and Applied Mathematics University of Pennsylvania Notes: Ph.D.'s are listed alphabetically by year. The dissertation supervisor is listed in parentheses wherever known. Many early dissertations are reprints of published articles. The practice of acknowledging in the dissertation the support and direction of the dissertation supervisor did not become widespread until 1910 or so. This list includes all Penn Ph.D.'s in Mathematics and in Applied Mathematics. Crawley, Edwin Schofield The forms of quartics with one node and four real and distinct asymptotes Schwatt, Isaac Joachim (E. S. Crawley) Geometrical treatment of curves Fisher, George Egbert Some points in the theory of invariants and covariants Hallett, George Hervey Linear differential equations of the fourth order Whitaker, Herbert Coleman A discussion of a certain differential equation Aley, Robert Judson Some contributions to the geometry of the triangle Partridge, Edward Anson On the mathematical theory of the geometric chuck Faught, John Brookie

20. Ph.d’s carlitz, leonard 1930 (HH Mitchell); Galois fields of certain types. McDonough,Donald L. 1931 (HH Mitchell); On the expansion of a certain type of determinant. http://www.math.upenn.edu/100/math-phds.html

All the Penn Math Ph.D.'s Ph.D.'s in Mathematics and Applied Mathematics University of Pennsylvania Notes: Ph.D.'s are listed alphabetically by year. The dissertation supervisor is listed in parentheses wherever known. Many early dissertations are reprints of published articles. The practice of acknowledging in the dissertation the support and direction of the dissertation supervisor did not become widespread until 1910 or so. This list includes all Penn Ph.D.'s in Mathematics and in Applied Mathematics. Crawley, Edwin Schofield The forms of quartics with one node and four real and distinct asymptotes Schwatt, Isaac Joachim 1893 (E. S. Crawley) Geometrical treatment of curves Fisher, George Egbert Some points in the theory of invariants and covariants Hallett, George Hervey Linear differential equations of the fourth order Whitaker, Herbert Coleman A discussion of a certain differential equation Aley, Robert Judson Some contributions to the geometry of the triangle Partridge, Edward Anson On the mathematical theory of the geometric chuck Faught, John Brookie

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