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ArticleOriginal scientific text

Title

Three two-dimensional Weyl steps in the circle problem II. The logarithmic Riesz mean for a class of arithmetic functions

Authors 1

Affiliations

  1. Universität Ulm, Helmholtzstraße 18, D-89069 Ulm, Germany

Abstract

1. Summary. In Part II we study arithmetic functions whose Dirichlet series satisfy a rather general type of functional equation. For the logarithmic Riesz mean of these functions we give a representation involving finite trigonometric sums. An essential tool here is the saddle point method. Estimation of the exponential sums in the special case of the circle problem will be the topic of Part III.

Bibliography

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Acta Arithmetica
1999/91/1
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Pages:
57-73
Main language of publication
English
Received
1998-03-24
Published
1999
Exact and natural sciences