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.
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.
Zhang Wenpeng (1992)
Compositio Mathematica
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Zhang Wenpeng (1993)
Compositio Mathematica
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Zhang Wenpeng (1994)
Compositio Mathematica
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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.
Wenchang Chu (1997)
Acta Arithmetica
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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 , where denotes the “centered” fractional part of . These ranks, in turn, are closely connected with the non-vanishing of the Dirichlet -functions at .
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 -norm for some 1 ≤ p ≤ ∞ over the unit square [0,1) × [0,1). In case p = ∞, by we mean , the collection of uniformly W-continuous functions f(x, y), endowed...
J. Chabrowski (1984)
Rendiconti del Seminario Matematico della Università di Padova
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S. Zhou (1995)
Colloquium Mathematicae
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The present paper shows that for any sequences of real numbers, each with infinitely many distinct elements, , j=1,...,s, the rational combinations of are always dense in .