Analytic and Elementary Number Theory - Andrew Granville

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Résumé :
This volume contains a collection of papers in Analytic and Elementary Number Theory in memory of Professor Paul Erd?s, one of the greatest mathematicians of this century. Written by many leading researchers, the papers deal with the most recent advances in a wide variety of topics, including arithmetical functions, prime numbers, the Riemann zeta function, probabilistic number theory, properties of integer sequences, modular forms, partitions, and q-series. Audience: Researchers and students of number theory, analysis, combinatorics and modular forms will find this volume to be stimulating.

Biographie:
Krishnaswami Alladi is Professor at the Department of Mathematics at the University of Florida, where he has been the department chairman from 1998-2008. He received his Ph.D. from the University of California in 1978. His research area is number theory, where he has made notable contributions. In 1987, during the Ramanujan Centennial in India, he got the inspiration to launch The Ramanujan Journal (now published by Springer), devoted to all areas of research influenced by Ramanujan. He annually writes articles about Ramanujan and his place in the world of mathematics in several national dailies and scientific magazines. He is presently editor-in-chief of The Ramanujan Journal, editor of the book series Developments in Mathematics (Springer), and Chair of the SASTRA Ramanujan Prize Committee. He was associate editor of Notices of the American Mathematical Society....

Sommaire:
Editorial; K. Alladi. Euler's Function in Residue Classes; T. Dence, C. Pomerance. Partition Identities Involving Gaps and Weights, II; K. Alladi. The Voronoi Identity via the Laplace Transform; A. Ivic. The Residue of p(N) Nodulo Small Primes; K. Ono. A Small Maximal Sidon Set; I.Z. Ruzsa. Sums and Products from a Finite Set of Real Numbers; K. Ford. The Distribution of Totients; K. Ford. A Mean-Value Theorem for Multiplicative Functions on the Set of Shifted Primes; K.-H. Indlekofer, N.M. Timofeev. Entiers Lexicographiques; A. Stef, G. Tenenbaum. The Berry-Esseen Bound in the Theory of Random Permutations; E. Manstavicius. Products of Shifted Primes, Multiplicative Analogues of Goldbach's Problems, II; P.D.T.A. Elliott. On Products of Shifted Primes; P. Berrizbeitia, P.D.T.A. Elliott. On Large Values of the Divisor Function; P. Erdos, et al. Some New Old-Fashioned Modular Identities; P.T. Bateman, M.I. Knopp. Linera Forms in Finite Sets of Integers; S.-P. Han, et al. A Binary Additive Problem of Erdos and the Order of 2 mod p2; A. Granville, K. Soundararajan.