A Brun-Titchmarsh inequality for weighted sums over prime numbers
arXiv:1410.7561 · doi:10.4064/aa166-3-5
Abstract
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.
11 pages, to appear in Acta Arithmetica