A Brun–Titchmarsh inequality for weighted sums over prime numbers
Volume 166 / 2014
Acta Arithmetica 166 (2014), 289-299
MSC: Primary 11N36; Secondary 11N13.
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.
