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Currently displaying 1 – 7 of 7

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A ternary Diophantine inequality over primes

Roger Baker; Andreas Weingartner — 2014

Acta Arithmetica

Let 1 < c < 10/9. For large real numbers R > 0, and a small constant η > 0, the inequality $| p ₁^{c} + p ₂^{c} + p ₃^{c} - R | < R^{- η}$ holds for many prime triples. This improves work of Kumchev [Acta Arith. 89 (1999)].

Primes in arithmetic progressions to spaced moduli

Roger C. Baker — 2012

Acta Arithmetica

Primitive lattice points in planar domains

Roger C. Baker — 2010

Acta Arithmetica

Kloosterman sums with prime variable

Roger C. Baker — 2012

Acta Arithmetica

Gaps between primes in Beatty sequences

Roger C. Baker; Liangyi Zhao — 2016

Acta Arithmetica

We study the gaps between primes in Beatty sequences following the methods in the recent breakthrough by Maynard (2015).

Sparsely totient numbers

Roger C. Baker; Glyn Harman — 1996

Annales de la Faculté des sciences de Toulouse : Mathématiques

Piatetski-Shapiro sequences

Roger C. Baker; William D. Banks; Jörg Brüdern; Igor E. Shparlinski; Andreas J. Weingartner — 2013

Acta Arithmetica

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