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arXiv:1410.7561 [math.NT]AbstractReferencesReviewsResources

A Brun-Titchmarsh inequality for weighted sums over prime numbers

Jan Büthe

Published 2014-10-28Version 1

We prove explicit upper bounds for weighted sums over prime numbers in arithmetic progressions with slowly varying weight functions. The results generalize the well-known Brun-Titchmarsh inequality.

Comments: 11 pages, to appear in Acta Arithmetica
Categories: math.NT
Subjects: 11N36, 11N13
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