Overview

This volume contains a collection of papers in analytic and elementary number theory in memory of Professor Paul Erdos, one of the great mathematicians of the 20th century. Written by many leading researchers, the papers deal with 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. The text should be of interest to researchers and students of number theory, analysis, combinatorics and modular forms.

Full Product Details

Author:   Krishnaswami Alladi ,  P.D.T.A. Elliott ,  Andrew Granville ,  G. Tenenbaum
Publisher:   Springer
Imprint:   Springer
Edition:   Reprinted from THE RAMANUJAN JOURNAL, 2:1-2, 1998
Volume:   1
Dimensions:   Width: 15.60cm , Height: 1.70cm , Length: 23.40cm
Weight:   1.330kg
ISBN:  

9780792382737

ISBN 10:   0792382730
Pages:   300
Publication Date:   30 September 1998
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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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.

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