Analytic and Elementary Number Theory

Alladi, Krishnaswami; Elliott, P. D. T. A.; Granville, Andrew; Tenenbaum, Gerald

ISBN 10: 0792382730 / ISBN 13: 9780792382737

Editore: Kluwer Academic Publishers, 1998

A collection of papers in 'analytic and elementary number theory' in memory of Professor Paul Erdos. It deals with various topics including: arithmetical functions; probabilistic number theory; properties of integer sequences; modular forms, partitions; and, q-series. It is intended for researchers and students of number theory and analysis. Series: Developments in Mathematics. Num Pages: 300 pages, biography. BIC Classification: PBH; PBK. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 17. Weight in Grams: 603. . 1998. Reprinted from THE RAMANUJAN JOURNAL, 2:1-2, 1998. Hardback. . . . . Codice articolo V9780792382737

Riassunto:

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.

Contenuti: 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.

Dati bibliografici

Titolo: Analytic and Elementary Number Theory
Casa editrice: Kluwer Academic Publishers
Data di pubblicazione: 1998
Legatura: Brossura
Condizione: New