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)].
Zeros of Dirichlet series with periodic coefficients Eric Saias; Andreas Weingartner — 2009 Acta Arithmetica
On the solutions of σ ( n ) = σ ( n + k ) . Weingartner, Andreas — 2011 Journal of Integer Sequences [electronic only]
Piatetski-Shapiro sequences Roger C. Baker; William D. Banks; Jörg Brüdern; Igor E. Shparlinski; Andreas J. Weingartner — 2013 Acta Arithmetica