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

Volume 91 / 1999

Ulrike Vorhauer Acta Arithmetica 91 (1999), 57-73 DOI: 10.4064/aa-91-1-57-73


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.


  • Ulrike Vorhauer

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