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Topics in Multiplicative Number Theory de Hugh L. Montgomery

Topics in Multiplicative Number Theory: Lecture Notes in Mathematics, cartea 227

Autor Hugh L. Montgomery
en Limba Engleză Paperback – 1971

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Specificații

ISBN-13: 9783540056416
ISBN-10: 3540056416
Pagini: 192
Ilustrații: IX, 178 p.
Dimensiuni: 178 x 254 x 10 mm
Greutate: 0.28 kg
Ediția:1971
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

Three basic principles.- The large sieve.- Arithmetic formulations of the large sieve.- A weighted sieve and its application.- A lower bound of Roth.- Classical mean value theorems.- New mean value theorems.- Large moduli theorems.- Further results and conjectures concerning mean and large moduli.- Mean moduli of L-functions.- Zero-free regions and the proliferation of zeros.- Distribution of zeros of L-functions.- Least character non-residues and arg L(12+it, x).- The prime number theorems of Hoheisel and Selberg.- The bombieri — Vinogradov theorem.- A lemma in additive prime number theory.- The mean value theorem of Barban.