Concentration function of additive functions on shifted twin primes
Volume 84 / 1998
Acta Arithmetica 84 (1998), 193-224
DOI: 10.4064/aa-84-3-193-224
Abstract
0. Introduction. The content of this paper is part of the author's Ph.D. thesis. The two new theorems in this paper provide upper bounds on the concentration function of additive functions evaluated on shifted γ-twin prime, where γ is any positive even integers. Both results are generalizations of theorems due to I. Z. Ruzsa, N. M. Timofeev, and P. D. T. A. Elliott.