Topics in multiplicative number theory
著者
書誌事項
Topics in multiplicative number theory
(Lecture notes in mathematics, 227)
Springer-Verlag, 1971
- : Germany
- : U.S.
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注記
Bibliography: p. [162]-178
内容説明・目次
目次
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.
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