ℚ-linear relations of special values of the Estermann zeta function
Makoto Ishibashi (1998)
Acta Arithmetica
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Displaying similar documents to “New series involving the zeta function.”
ℚ-linear relations of special values of the Estermann zeta function
Refinement of an estimate for the Hurwitz zeta function in a neighbourhood of the line σ = 1
Mieczysław Kulas (1999)
Acta Arithmetica
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The well-known estimate of the order of the Hurwitz zeta function 0. The improvement of the constant c is a consequence of some technical modifications in the method of estimating exponential sums sketched by Heath-Brown ([11], p. 136).
Note on some greatest common divisor matrices
Peter Lindqvist, Kristian Seip (1998)
Acta Arithmetica
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Some quadratic forms related to "greatest common divisor matrices" are represented in terms of L²-norms of rather simple functions. Our formula is especially useful when the size of the matrix grows, and we will study the asymptotic behaviour of the smallest and largest eigenvalues. Indeed, a sharp bound in terms of the zeta function is obtained. Our leading example is a hybrid between Hilbert's matrix and Smith's matrix.
On limit distribution of the Matsumoto zeta-function
A. Laurinčikas (1997)
Acta Arithmetica
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On the hybrid mean value of Dedekind sums and Hurwitz zeta-function
Wenpeng Zhang (2000)
Acta Arithmetica
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A conditional density theorem for the zeros of the Riemann zeta-function
Alessandro Zaccagnini (2000)
Acta Arithmetica
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Certain L-functions at s = 1/2
Shin-ichiro Mizumoto (1999)
Acta Arithmetica
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Introduction. The vanishing orders of L-functions at the centers of their functional equations are interesting objects to study as one sees, for example, from the Birch-Swinnerton-Dyer conjecture on the Hasse-Weil L-functions associated with elliptic curves over number fields. In this paper we study the central zeros of the following types of L-functions: (i) the derivatives of the Mellin transforms of Hecke eigenforms for SL₂(ℤ), (ii)...
On limit distribution of the Riemann zeta-function
A. Laurinčikas, G. Misevičius (1996)
Acta Arithmetica
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Fractional moments of the Riemann zeta-function
K. Ramachandra (1997)
Acta Arithmetica
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A new irrationality measure for ζ(3)
Masayoshi Hata (2000)
Acta Arithmetica
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