Geodesic
A ternary Diophantine inequality over primes
Roger Baker1 ; Andreas Weingartner2
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.
Acta Arithmetica, Tome 162 (2014) no. 2, pp. 159-196

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

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)].
DOI : 10.4064/aa162-2-3
Keywords: large real numbers small constant eta inequality eta holds many prime triples improves work kumchev acta arith

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. 
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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

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