Analytic and Elementary Number Theory: A Tribute to Mathematical Legend Paul Erdos

by Krishnaswami Alladi, P.D.T.A. Elliott, Andrew Granville, G. Tenenbaum

Overview

This volume contains a collection of papers in Analytic and Elementary Number Theory in memory of Professor Paul Erdös, 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.

Product Details

ISBN-13:	9781441950581
Publisher:	Springer US
Publication date:	12/03/2010
Series:	Developments in Mathematics , #1
Edition description:	Softcover reprint of hardcover 1st ed. 1998
Pages:	300
Product dimensions:	6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

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.