Uniform distribution of the zeros of the riemann zeta function and the mean value theorems of dirichlet L-functions (II)

A. Fujii, On the distribution of the zeros of the Riemann zeta function in short intervals, Bull. of A.M.S., 81, no.1, 139–142, (1975).
Article MathSciNet MATH Google Scholar
_____, On the zeros of Dirichlet L-functions III, Trans. of A.M.S. 219, 347–349, (1976).
MathSciNet MATH Google Scholar
_____, On the uniformity of the distribution of the zeros of the Riemann zeta function, Crelle. J. 302, 167–205 (1978).
MathSciNet MATH Google Scholar
_____, On the uniformity of the distribution of the zeros of the Riemann zeta function II, Comment. Math. Univ. St. Pauli, 31, 99–113 (1982).
MathSciNet MATH Google Scholar
_____, Uniform distribution of the zeros of the Riemann zeta function and the mean value theorems of Dirichlet L-functions, Proc. of Japan Academy, 63, no.9, 370–373 (1987).
Article MathSciNet MATH Google Scholar
_____, Zeta zeros and Dirichlet L-functions, Proc. of Japan Academy, 64 no.6, 215–218 (1988).
Article MathSciNet MATH Google Scholar
_____, Zeta zeros and Dirichlet L-functions II, Proc of Japan Academy, 64, no.8, 296–299 (1988).
Article MathSciNet MATH Google Scholar
_____, On a theorem of Landau., Proc. of Japan Academy, 65 A, (1989), 51–54.
Article MathSciNet MATH Google Scholar
_____, Uniform distribution of the zeros of the Riemann zeta function and the mean value theorems, to appear in Colloq. Math. Soc. Janos Bolyai.
Google Scholar
_____, Zeros, primes and rationals, Colloq. Math. Soc. Janos Bolyai, 34 519–597 (1981).
MathSciNet Google Scholar
_____, Zeros, primes and rationals, Proc. of Japan Academy, 58 A, 373–376 (1982).
Article MathSciNet MATH Google Scholar
D.A. Goldston. On a result of Littlewood concerning prime numbers, II, Acta Arith. XLIII, 49–51 (1983).
MathSciNet MATH Google Scholar
S. Gonek, Meanvalues of the Riemann zeta function and its derivatives, Invent. Math. 75, 123–141 (1984).
Article MathSciNet MATH Google Scholar
_____, A formula of Landau and mean values of ζ(s), Topics in analytic number theory. Univ. of Texas Press, 92–97 (1985).
Google Scholar
_____, An explicit formula of Landau and its applications, to appear.
Google Scholar
E. Landau, Uber die Nullstellen der ζ-Funktion, Math.Ann. 71, 548–568 (1911).
Article Google Scholar
A.F. Lavrik, The approximate functional equation for Dirichlet L-functions, Trudy Moskov Mat. Obsc., 18, 91–104 (1968), (in Russian)
MathSciNet MATH Google Scholar
N. Levinson, More than one third of zeros of Riemann’s zeta function are on σ=1/2, Advances in Math. 13, 383–436 (1974).
Article MathSciNet MATH Google Scholar
K.Prachar, Primzahlverteilung, Springer, 1957.
Google Scholar

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Department of Mathematics, Rikkyo University, Tokyo, Japan
Akio Fujii

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Akio Fujii
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Kenji Nagasaka Etienne Fouvry

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Fujii, A. (1990). Uniform distribution of the zeros of the riemann zeta function and the mean value theorems of dirichlet L-functions (II). In: Nagasaka, K., Fouvry, E. (eds) Analytic Number Theory. Lecture Notes in Mathematics, vol 1434. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097127

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DOI: https://doi.org/10.1007/BFb0097127
Published: 22 October 2006
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-52787-9
Online ISBN: 978-3-540-47147-9
eBook Packages: Springer Book Archive

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