Titolo: Analytic and Elementary Number Theory: A Tribute to Mathematical Legend Paul Erdos (Developments in Mathematics, 1)
Editore: Springer
Data di pubblicazione: 1998
Lingua: Inglese
ISBN 10: 0792382730
ISBN 13: 9780792382737
Rilegatura: Rilegato
Condizione: New

Descrizione articolo

Riassunto

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.

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.

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