The life and work of R. A. Rankin (1915-2001)

被引:6
作者
Berndt, BC
Kohnen, W
Ono, K
机构
[1] Univ Illinois, Dept Math, Urbana, IL 61801 USA
[2] Heidelberg Univ, Math Inst, D-69120 Heidelberg, Germany
[3] Univ Wisconsin, Dept Math, Madison, WI 53726 USA
关键词
biography; modular forms; Eisenstein series; Poincare series; Rankin-Cohen brackets; Rankin-Selberg method; modular groups; differences between consecutive primes; linear forms; sums of squares; sphere packings; Ramanujan's t-function;
D O I
10.1023/A:1026214305402
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Robert Alexander Rankin, an eminent Scottish number theorist and, for several decades, one of the world's foremost experts in modular forms, died on January 27, 2001 in Glasgow at the age of 85. He was one of the founding editors of The Ramanujan Journal. For this and the next two issues of the The Ramanujan Journal, many well-known mathematicians have prepared articles in Rankin's memory. In this opening paper, we provide a short biography of Rankin and discuss some of his major contributions to mathematics. At the conclusion of this article, we provide a complete list of Rankin's doctoral students and a complete bibliography of all of Rankin's writings divided into five categories: (1) Research and Expository Papers; (2) Books; (3) Books Edited; (4) Obituaries; (5) Other Writings.
引用
收藏
页码:9 / 38
页数:30
相关论文
共 66 条
[1]   INTRODUCTION TO RAMANUJANS LOST NOTEBOOK [J].
ANDREWS, GE .
AMERICAN MATHEMATICAL MONTHLY, 1979, 86 (02) :89-108
[2]  
[Anonymous], P AM MATH SOC
[3]  
Asai T., 1997, Commentarii Mathematici Universitatis Sancti Pauli, V46, P93
[4]   HECKE OPERATORS ON GAMMAO(M) [J].
ATKIN, AOL ;
LEHNER, J .
MATHEMATISCHE ANNALEN, 1970, 185 (02) :134-&
[5]  
Berndt BC, 2001, ANDREWS FESTSCHRIFT: SEVENTEEN PAPER ON CLASSICAL NUMBER THEORY AND COMBINATORICS, P39
[6]   Formulas of Ramanujan for the power series coefficients of certain quotients of Eisenstein series [J].
Berndt, BC ;
Bialek, PR ;
Yee, AJ .
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2002, 2002 (21) :1077-1109
[7]  
BERNDT BC, 1998, SURIKAISEKIKENKYUUSH, V1060, P111
[8]  
BERNDT BC, 1999, SEM LOTHARINGIEN COM, V42
[9]   The minimum value of quadratic forms, and the closest packing of spheres [J].
Blichfeldt, HF .
MATHEMATISCHE ANNALEN, 1929, 101 :605-608
[10]  
BOCHERER S, 1998, COMM MATH U SANCTI P, V47, P135