Geodesic
A Brun–Titchmarsh inequality for weighted sums over prime numbers
Jan Büthe1
1Mathematisches Institut Universität Bonn Endenicher Allee 60 53115 Bonn, Germany
Acta Arithmetica, Tome 166 (2014) no. 3, pp. 289-299
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/aa166-3-5
Keywords: prove explicit upper bounds weighted sums prime numbers arithmetic progressions slowly varying weight functions results generalize well known brun titchmarsh inequality

Jan Büthe  1

1 Mathematisches Institut Universität Bonn Endenicher Allee 60 53115 Bonn, Germany 
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Jan Büthe. A Brun–Titchmarsh inequality for weighted sums
 over prime numbers. Acta Arithmetica, Tome 166 (2014) no. 3, pp. 289-299. doi: 10.4064/aa166-3-5

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