Geodesic
A Brun–Titchmarsh inequality for weighted sums over prime numbers
Jan Büthe1
1 Mathematisches Institut Universität Bonn Endenicher Allee 60 53115 Bonn, Germany
Acta Arithmetica, Tome 166 (2014) no. 3, pp. 289-299.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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. http://geodesic.mathdoc.fr/articles/10.4064/aa166-3-5/

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