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pro vyhledávání: '"Garunkštis, Ramūnas"'
Autor:
Andersson, Johan, Garunkštis, Ramūnas, Kačinskaitė, Roma, Nakai, Keita, Pańkowski, Łukasz, Sourmelidis, Athanasios, Steuding, Rasa, Steuding, Jörn, Wananiyakul, Saeree
We improve a recent universality theorem for the Riemann zeta-function in short intervals due to Antanas Laurin\v{c}ikas with respect to the length of these intervals. Moreover, we prove that the shifts can even have exponential growth. This research
Externí odkaz:
http://arxiv.org/abs/2312.04255
Autor:
Garunkštis, Ramūnas, Steuding, Jörn
In this note we prove that the Selberg zeta-function associated to a compact Riemann surface is pseudo-prime and right-prime in the sense of a decomposition.
Comment: To appear in Hokkaido Mathematical Journal
Comment: To appear in Hokkaido Mathematical Journal
Externí odkaz:
http://arxiv.org/abs/1908.03108
Autor:
Garunkštis, Ramūnas
Levinson and Montgomery proved that the Riemann zeta-function $\zeta(s)$ and its derivative have approximately the same number of non-real zeros left of the critical line. R. Spira showed that $\zeta'(1/2+it)=0$ implies $\zeta(1/2+it)=0$. Here we obt
Externí odkaz:
http://arxiv.org/abs/1904.03123
Autor:
Garunkštis, Ramūnas, Tamošiūnas, Rokas
A. Speiser proved that the Riemann hypothesis is equivalent to the absence of non-real zeros of the derivative of the Riemann zeta-function left of the critical line. His result has been extended by N. Levinson and H.L. Montgomery to the statement th
Externí odkaz:
http://arxiv.org/abs/1902.03064
Autor:
Garunkštis, Ramūnas, Tamošiūnas, Rokas
Publikováno v:
Lith. Math. J. 57(4) (2017), 433-440
For most values of parameters $\lambda$ and $\alpha$, the zeros of the Lerch zeta-function $L(\lambda, \alpha, s)$ are distributed very chaotically. In this paper we consider the special case of equal parameters $L(\lambda, \lambda, s)$ and show by c
Externí odkaz:
http://arxiv.org/abs/1901.10790
Autor:
Garunkštis, Ramūnas1 (AUTHOR) ramunas.garunkstis@mif.vu.lt, Putrius, Jokūbas1 (AUTHOR) jokubas.putrius@mif.vu.lt
Publikováno v:
International Journal of Number Theory. Dec2024, p1-13. 13p.
Akademický článek
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Autor:
Garunkštis, Ramūnas, Tamošiūnas, Rokas
Publikováno v:
Bulletin mathématique de la Société des Sciences Mathématiques de Roumanie, 2020 Jan 01. 63(1), 51-65.
Externí odkaz:
https://www.jstor.org/stable/27068415
Assume the Riemann hypothesis. On the right-hand side of the critical strip, we obtain an asymptotic formula for the discrete mean square of the Riemann zeta-function over imaginary parts of its zeros.
Comment: 18 pages
Comment: 18 pages
Externí odkaz:
http://arxiv.org/abs/1608.08493