fbpx
Wikipedia

Stephen Milne (mathematician)

Stephen Carl Milne is an American mathematician who works in the fields of analysis, analytic number theory, and combinatorics.

Milne received a bachelor's degree from San Diego State University in 1972 and a Ph.D. from the University of California, San Diego (UCSD) in 1976. His thesis, Peano curves and smoothness of functions, was written under Adriano M. Garsia.[1] From 1976 to 1978 he was a Gibbs Instructor at Yale University. Milne taught at Texas A&M University, UCSD, the University of Kentucky, and Ohio State University, where he became in 1982 an associate professor and in 1985 a full professor.

Milne works on algebraic combinatorics, classical analysis, special functions, analytic number theory, and Lie algebras (generalizations of the Macdonald identities).

From 1981 to 1983 he was a Sloan Fellow. In 2007 he was the joint recipient with Heiko Harborth of the Euler Medal. In 2012 Milne was elected a Fellow of the American Mathematical Society.[2]

Selected publications edit

  • Milne, Stephen C. (1978). "A q-analog of restricted growth functions, Dobinski's equality, and Charlier polynomials". Trans. Amer. Math. Soc. 245: 89–118. doi:10.1090/s0002-9947-1978-0511401-8. MR 0511401.
  • with Glenn Lilly: Milne, Stephen C.; Lilly, Glenn M. (1992). "The A and C Bailey transform and lemma". Bull. Amer. Math. Soc. (N.S.). 26: 258–263. arXiv:math/9204236. doi:10.1090/s0273-0979-1992-00268-9. MR 1118702. S2CID 119144316.
  • Milne, S. C. (1996). "New infinite families of exact sums of squares formulas, Jacobi elliptic functions, and Ramanujan's tau function". Proc Natl Acad Sci U S A. 93 (26): 15004–15008. arXiv:math/0008068. Bibcode:1996PNAS...9315004M. doi:10.1073/pnas.93.26.15004. PMC 26345. PMID 11038532.
  • Infinite families of exact sums of squares formulas, Jacobi elliptic functions, continued fractions, and Schur functions. Kluwer Academic Publishers. 2002. ISBN 9781402004919.

References edit

  1. ^ Stephen Carl Milne at the Mathematics Genealogy Project
  2. ^ List of Fellows of the American Mathematical Society

External links edit

  • Homepage at Ohio State University

stephen, milne, mathematician, stephen, carl, milne, american, mathematician, works, fields, analysis, analytic, number, theory, combinatorics, milne, received, bachelor, degree, from, diego, state, university, 1972, from, university, california, diego, ucsd, . Stephen Carl Milne is an American mathematician who works in the fields of analysis analytic number theory and combinatorics Milne received a bachelor s degree from San Diego State University in 1972 and a Ph D from the University of California San Diego UCSD in 1976 His thesis Peano curves and smoothness of functions was written under Adriano M Garsia 1 From 1976 to 1978 he was a Gibbs Instructor at Yale University Milne taught at Texas A amp M University UCSD the University of Kentucky and Ohio State University where he became in 1982 an associate professor and in 1985 a full professor Milne works on algebraic combinatorics classical analysis special functions analytic number theory and Lie algebras generalizations of the Macdonald identities From 1981 to 1983 he was a Sloan Fellow In 2007 he was the joint recipient with Heiko Harborth of the Euler Medal In 2012 Milne was elected a Fellow of the American Mathematical Society 2 Selected publications editMilne Stephen C 1978 A q analog of restricted growth functions Dobinski s equality and Charlier polynomials Trans Amer Math Soc 245 89 118 doi 10 1090 s0002 9947 1978 0511401 8 MR 0511401 with Glenn Lilly Milne Stephen C Lilly Glenn M 1992 The Aℓ and Cℓ Bailey transform and lemma Bull Amer Math Soc N S 26 258 263 arXiv math 9204236 doi 10 1090 s0273 0979 1992 00268 9 MR 1118702 S2CID 119144316 Milne S C 1996 New infinite families of exact sums of squares formulas Jacobi elliptic functions and Ramanujan s tau function Proc Natl Acad Sci U S A 93 26 15004 15008 arXiv math 0008068 Bibcode 1996PNAS 9315004M doi 10 1073 pnas 93 26 15004 PMC 26345 PMID 11038532 Infinite families of exact sums of squares formulas Jacobi elliptic functions continued fractions and Schur functions Kluwer Academic Publishers 2002 ISBN 9781402004919 References edit Stephen Carl Milne at the Mathematics Genealogy Project List of Fellows of the American Mathematical SocietyExternal links editHomepage at Ohio State University Retrieved from https en wikipedia org w index php title Stephen Milne mathematician amp oldid 1222488676, wikipedia, wiki, book, books, library,

article

, read, download, free, free download, mp3, video, mp4, 3gp, jpg, jpeg, gif, png, picture, music, song, movie, book, game, games.