Document Zbl 0372.10033

On the sum of the Möbius function in a short segment. (English) Zbl 0372.10033

Proc. Japan Acad. 52, 477-479 (1976).

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MSC:

11N37	Asymptotic results on arithmetic functions
11N05	Distribution of primes
11M06	\(\zeta (s)\) and \(L(s, \chi)\)

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[1]	P. X. Gallagher: Bombieri’s mean value theorem. Mathematika, IB, 1-6 (1968). · Zbl 0174.08103 · doi:10.1112/S002557930000231X
[2]	H. Heilbronn: Uber den Primzahlsatz von Herrn Hoheisel. Math. Zeitschr., 36, 394-423 (1933). · Zbl 0006.15603 · doi:10.1007/BF01188631
[3]	M. N. Huxley: On the difference between consecutive primes. Invent. Math., IB, 164-170 (1972). · Zbl 0241.10026 · doi:10.1007/BF01418933
[4]	H. L. Montgomery: Topics in Multiplicative Number Theory. Springer (1971). · Zbl 0216.03501
[5]	H. E. Richert: Zur Abschatzung der Riemannschen Zetafunktion in der Nahe der Vertikalen a=l. Math. Ann., 169, 97-101 (1967). · Zbl 0161.04802 · doi:10.1007/BF01399533
[6]	E. C. Titchmarsh: The Theory of the Riemann Zeta-Function. Oxford Univ. (1951). · Zbl 0042.07901

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