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Topics in Multiplicative Number Theory : Lecture Notes in Mathematics - Hugh L. Montgomery

Topics in Multiplicative Number Theory

Lecture Notes in Mathematics

Paperback Published: 1st February 1986
ISBN: 9783540056416
Number Of Pages: 178

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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.

ISBN: 9783540056416
ISBN-10: 3540056416
Series: Lecture Notes in Mathematics
Audience: General
Format: Paperback
Language: English
Number Of Pages: 178
Published: 1st February 1986
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 1.07
Weight (kg): 0.28

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