|
This article is cited in 6 scientific papers (total in 6 papers)
Zeros of linear combinations of functions of a special type that are connected with Selberg Dirichlet series
S. A. Gritsenko Steklov Mathematical Institute, Russian Academy of Sciences
Abstract:
Assuming that a conjecture of Selberg holds, along with certain other conditions, we obtain a lower bound on an interval of the critical line for the number of zeros of a function that is a linear combination of the analogues of the Riemann zeta-function that correspond to Dirichlet series of the Selberg class.
Received: 22.12.1995
Citation:
S. A. Gritsenko, “Zeros of linear combinations of functions of a special type that are connected with Selberg Dirichlet series”, Izv. RAN. Ser. Mat., 60:4 (1996), 3–42; Izv. Math., 60:4 (1996), 655–694
Linking options:
https://www.mathnet.ru/eng/im78https://doi.org/10.1070/IM1996v060n04ABEH000078 https://www.mathnet.ru/eng/im/v60/i4/p3
|
Statistics & downloads: |
Abstract page: | 432 | Russian version PDF: | 206 | English version PDF: | 23 | References: | 44 | First page: | 1 |
|