Joint discrete universality of Hurwitz zeta functions
Journal Article
·
· Sbornik. Mathematics
- Vilnius University, Vilnius (Lithuania)
We obtain a joint discrete universality theorem for Hurwitz zeta functions. Here the parameters of zeta functions and the step of shifts of these functions approximating a given family of analytic functions are connected by some condition of linear independence. Nesterenko's theorem gives an example satisfying this condition. The universality theorem is applied to estimate the number of zeros of a linear combination of Hurwitz zeta functions. Bibliography: 20 titles.
- OSTI ID:
- 22364220
- Journal Information:
- Sbornik. Mathematics, Vol. 205, Issue 11; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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