| Title | Sum of the epstein zeta over the riemann zeta zeros |
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| Translation of Title | Epšteino dzeta funkcijų suma virš Rymano dzeta funkcijos nulių. |
| Authors | Kondratavičius, Tomas |
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| Pages | 20 |
| Keywords [eng] | The Epstein zeta function, zeta function of a positive quadratic form, sum over the non-trivial Riemann zeta zeros, Gonek's method. |
| Abstract [eng] | In this paper, the sum of the special Epstein zeta functions Z(s,\alpha), associated with a quadratic form m^2+\alpha^2n^2, was investigated. By using Gonek's method, we prove that the sum of Z(s,\alpha) functions, over the non-trivial zeros of the Riemann zeta function, for parameter T sufficiently large, is O(T\log^3 T). |
| Dissertation Institution | Vilniaus universitetas. |
| Type | Master thesis |
| Language | English |
| Publication date | 2021 |