Analytic Number Theory: Proceedings of a Conference In Honor of Heini Halberstam, Volume 1Bruce C. Berndt, Harold Diamond, Adolf J Hildebrand Springer Science & Business Media, 1 juin 1996 - 450 pages On May 16 -20, 1995, approximately 150 mathematicians gathered at the Conference Center of the University of Illinois at Allerton Park for an Inter national Conference on Analytic Number Theory. The meeting marked the approaching official retirement of Heini Halberstam from the mathematics fac ulty of the University of Illinois at Urbana-Champaign. Professor Halberstam has been at the University since 1980, for 8 years as head of the Department of Mathematics, and has been a leading researcher and teacher in number theory for over forty years. The program included invited one hour lectures by G. Andrews, J. Bour gain, J. M. Deshouillers, H. Halberstam, D. R. Heath-Brown, H. Iwaniec, H. L. Montgomery, R. Murty, C. Pomerance, and R. C. Vaughan, and almost one hundred other talks of varying lengths. These volumes comprise contributions from most of the principal speakers and from many of the other participants, as well as some papers from mathematicians who were unable to attend. The contents span a broad range of themes from contemporary number theory, with the majority having an analytic flavor. |
Table des matières
IV | 1 |
V | 17 |
VI | 31 |
VII | 39 |
VIII | 105 |
IX | 129 |
X | 141 |
XI | 155 |
XVII | 245 |
XX | 265 |
XXI | 309 |
XXII | 323 |
XXIII | 333 |
XXIV | 337 |
XXV | 357 |
XXVI | 371 |
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Expressions et termes fréquents
A-convergent a₁ absolutely irreducible apply arithmetic asymptotic formula b₁ b₂ champs characteristic values completes the proof congruence conjecture convergent Corollary cusp deduce defined denote the number Dirichlet character divisors Durfee square Ein(x equation error estimate evaluate exponential sums factor of degree Ferrers graph finite follows Fourier coefficients function fundamental discriminant Galois representations gives Göllnitz Heini Halberstam Hence Hölder's inequality identity Illinois implies inequality interval Iwaniec L-functions Lambert series Lemma log log lower bound Math modular form modulo multiplicative Newton polygon non-negative integers number of partitions Number Theory obtain polygon of F(x polynomial positive integer prime factors proof of Theorem Proposition prove quadratic respect result satisfies sequence sieve sieve theory Suppose Univ upper bound weight zero Σ Σ ΣΣ