1Department of Mathematics Brigham Young University Provo, UT 84602, U.S.A. 2Department of Mathematics Southern Utah University Cedar City, UT 84720, U.S.A.
Acta Arithmetica, Tome 162 (2014) no. 2, pp. 159-196
Let $1 c 10/9$. For large real numbers $R>0$, and a small constant $\eta >0$, the inequality $$ | p_1^c+p_2^c+p_3^c - R| R^{-\eta } $$ holds for many prime triples. This improves work of Kumchev [Acta Arith. 89 (1999)].
Keywords:
large real numbers small constant eta inequality eta holds many prime triples improves work kumchev acta arith
Affiliations des auteurs :
Roger Baker
1
;
Andreas Weingartner
2
1
Department of Mathematics Brigham Young University Provo, UT 84602, U.S.A.
2
Department of Mathematics Southern Utah University Cedar City, UT 84720, U.S.A.
@article{10_4064_aa162_2_3,
author = {Roger Baker and Andreas Weingartner},
title = {A ternary {Diophantine} inequality over primes},
journal = {Acta Arithmetica},
pages = {159--196},
year = {2014},
volume = {162},
number = {2},
doi = {10.4064/aa162-2-3},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/aa162-2-3/}
}
TY - JOUR
AU - Roger Baker
AU - Andreas Weingartner
TI - A ternary Diophantine inequality over primes
JO - Acta Arithmetica
PY - 2014
SP - 159
EP - 196
VL - 162
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.4064/aa162-2-3/
DO - 10.4064/aa162-2-3
LA - en
ID - 10_4064_aa162_2_3
ER -
%0 Journal Article
%A Roger Baker
%A Andreas Weingartner
%T A ternary Diophantine inequality over primes
%J Acta Arithmetica
%D 2014
%P 159-196
%V 162
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/aa162-2-3/
%R 10.4064/aa162-2-3
%G en
%F 10_4064_aa162_2_3
Roger Baker; Andreas Weingartner. A ternary Diophantine inequality over primes. Acta Arithmetica, Tome 162 (2014) no. 2, pp. 159-196. doi: 10.4064/aa162-2-3
