A Brun-Titchmarsh inequality for weighted sums over prime numbers
Jan Büthe
Acta Arithmetica, Tome 166 (2014), p. 289-299 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:279833 
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     author = {Jan B\"uthe},
     title = {A Brun-Titchmarsh inequality for weighted sums over prime numbers},
     journal = {Acta Arithmetica},
     volume = {166},
     year = {2014},
     pages = {289-299},
     zbl = {1317.11100},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa166-3-5}
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Jan Büthe. A Brun-Titchmarsh inequality for weighted sums over prime numbers. Acta Arithmetica, Tome 166 (2014) pp. 289-299. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa166-3-5/