A Brun-Titchmarsh inequality for weighted sums over prime numbers
Acta Arithmetica (2014)
- Volume: 166, Issue: 3, page 289-299
- ISSN: 0065-1036
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topJan Büthe. "A Brun-Titchmarsh inequality for weighted sums over prime numbers." Acta Arithmetica 166.3 (2014): 289-299. <http://eudml.org/doc/279833>.
@article{JanBüthe2014,
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.},
author = {Jan Büthe},
journal = {Acta Arithmetica},
keywords = {Brun-Titchmarsh inequality; weighted sum; sum over primes; weighted sieve; weighted Selberg sieve; slowly varying weight},
language = {eng},
number = {3},
pages = {289-299},
title = {A Brun-Titchmarsh inequality for weighted sums over prime numbers},
url = {http://eudml.org/doc/279833},
volume = {166},
year = {2014},
}
TY - JOUR
AU - Jan Büthe
TI - A Brun-Titchmarsh inequality for weighted sums over prime numbers
JO - Acta Arithmetica
PY - 2014
VL - 166
IS - 3
SP - 289
EP - 299
AB - 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.
LA - eng
KW - Brun-Titchmarsh inequality; weighted sum; sum over primes; weighted sieve; weighted Selberg sieve; slowly varying weight
UR - http://eudml.org/doc/279833
ER -
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