Andreas J. Weingartner

Professional Information

Area of Research

Number Theory

Publications

1. Integers free of prime divisors from an interval, I, Acta Arithmetica 98 (2001), 117-131.
2. Integers free of prime divisors from an interval, II, Acta Arithmetica 104 (2002), 309-343.
3. Integers with dense divisors , Journal of Number Theory 108 (2004), 1-17.
4. Integers with dense divisors 2, Journal of Number Theory 108 (2004), 18-28.
5. On a question of Balazard and Saias related to the Riemann hypothesis , Advances in Mathematics, 208 (2007), 905-908.
6. The distribution functions of σ(n)/n and n/φ(n) , Proceedings of the American Mathematical Society, 135 (2007), 2677-2681.
7. The limiting distribution of the divisor function, Journal of Number Theory 129 (2009), 1432-1442.
8. Zeros of Dirichlet series with periodic coefficients (with Eric Saias), Acta Arithmetica 140.4 (2009), 335-344.
9. On the solutions of σ(n)=σ(n+k), Journal of Integer Sequences 14 (2011), no. 5, Article 11.5.5, 7pp.
10. On a conjecture of Adiga and Ramaswamy, International Journal of Mathematical Analysis 5 (2011), no. 21-24, 1063-1066.
11. The distribution functions of σ(n)/n and n/φ(n), II, Journal of Number Theory 132 (2012), 2907–2921.
12. On the diophantine equation Π x_i = Σ x_i , Integers 12 (2012), A57, 8 pp.
13. Some applications of the double large sieve (with Roger Baker), Monatshefte für Mathematik (2012), DOI 10.1007/s00605-012-0447-0
14. Piatetski-Shapiro sequences (with Roger Baker, William Banks, Jörg Brüdern, Igor Shparlinski), Acta Arithmetica 157 (2013), 37-68.

Request reprints at weingartner@suu.edu