Uniform Titchmarsh divisor problems

Edgar Assing; Valentin Blomer; Junxian Li

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arXiv · 2005.13915

Uniform Titchmarsh divisor problems

Edgar Assing·Valentin Blomer·Junxian Li

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Abstract

Asymptotic formulae for Titchmarsh-type divisor sums are obtained with strong error terms that are uniform in the shift parameter. This applies to more general arithmetic functions such as sums of two squares, improving the error term in the representation of the number as a sum of a prime and two squares, and to Fourier coefficients of cusp forms, generalizing a result of Pitt.

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BibTeX RIS

Edgar Assing, Valentin Blomer, Junxian Li. 2020-05-28. Uniform Titchmarsh divisor problems. https://arxiv.org/abs/2005.13915

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