On the average of inversion of Dirichlet’s $L$-functions

Zhang Wenpeng

Displaying similar documents to “On the average of inversion of Dirichlet’s $L$ -functions”

On the mean values of Dedekind sums

Wenpeng Zhang (1996)

Journal de théorie des nombres de Bordeaux

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In this paper we study the asymptotic behavior of the mean value of Dedekind sums, and give a sharper asymptotic formula.

On the mean square value of Dirichlet’s $L$ -functions

Zhang Wenpeng (1992)

Compositio Mathematica

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On a problem of D. H. Lehmer and its generalization

Zhang Wenpeng (1993)

Compositio Mathematica

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A problem of D. H. Lehmer and its generalization (II)

Zhang Wenpeng (1994)

Compositio Mathematica

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Random rearrangements in functional spaces.

E. M. Semenov (1993)

Collectanea Mathematica

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We give an operator approach to several inequalities of S. Kwapien and C. Schütt, which allows us to obtain more general results.

Hypergeometric series and the Riemann zeta function

Wenchang Chu (1997)

Acta Arithmetica

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Two problems related to the non-vanishing of $L (1, χ)$

Paolo Codecà, Roberto Dvornicich, Umberto Zannier (1998)

Journal de théorie des nombres de Bordeaux

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We study two rather different problems, one arising from Diophantine geometry and one arising from Fourier analysis, which lead to very similar questions, namely to the study of the ranks of matrices with entries either zero or $((x y / q)), (0 \leq x, y < q)$ , where $((u)) = u - [u] - 1 / 2$ denotes the “centered” fractional part of $x$ . These ranks, in turn, are closely connected with the non-vanishing of the Dirichlet $L$ -functions at $s = 1$ .

On the uniform convergence and L¹-convergence of double Walsh-Fourier series

Ferenc Móricz (1992)

Studia Mathematica

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In 1970 C. W. Onneweer formulated a sufficient condition for a periodic W-continuous function to have a Walsh-Fourier series which converges uniformly to the function. In this paper we extend his results from single to double Walsh-Fourier series in a more general setting. We study the convergence of rectangular partial sums in $L^{p}$ -norm for some 1 ≤ p ≤ ∞ over the unit square [0,1) × [0,1). In case p = ∞, by $L^{p}$ we mean $C_{W}$ , the collection of uniformly W-continuous functions f(x, y), endowed...

Dirichlet problem for a linear elliptic equation in unbounded domains with $L^{2}$ -boundary data

J. Chabrowski (1984)

Rendiconti del Seminario Matematico della Università di Padova

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On Müntz rational approximation in multivariables

S. Zhou (1995)

Colloquium Mathematicae

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The present paper shows that for any $s$ sequences of real numbers, each with infinitely many distinct elements, $λ_{n}^{j}$ , j=1,...,s, the rational combinations of $x_{1}^{λ_{m_{1}}^{1}} x_{2}^{λ_{m_{2}}^{2}} . . . x_{s}^{λ_{m_{s}}^{s}}$ are always dense in $C_{I^{s}}$ .

Displaying similar documents to “On the average of inversion of Dirichlet’s L -functions”

Displaying similar documents to “On the average of inversion of Dirichlet’s $L$ -functions”