A ternary Diophantine inequality over primes

• Autorzy: Roger Baker , Andreas Weingartner
• Języki publikacji: EN

Abstrakty

EN

Let 1 < c < 10/9. For large real numbers R > 0, and a small constant η > 0, the inequality
$|p₁^c+p₂^c+p₃^c - R| < R^{-η}$
holds for many prime triples. This improves work of Kumchev [Acta Arith. 89 (1999)].

Kategorie tematyczne

• 11N36: Applications of sieve methods
• 11L20: Sums over primes
• 11P55: Applications of the Hardy-Littlewood method

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2014
• Tom: 162
• Numer: 2
• Strony: 159-196

Daty

wydano

2014

Twórcy

autor

Roger Baker

• Department of Mathematics, Brigham Young University, Provo, UT 84602, U.S.A.

autor

Andreas Weingartner

• Department of Mathematics, Southern Utah University, Cedar City, UT 84720, U.S.A.

Identyfikatory

DOI

10.4064/aa162-2-3