Výsledky vyhledávání - "STEUDING, Rasa"

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Notes on Universality in Short Intervals and Exponential Shifts

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

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Akademický článek

Effective uniform approximation by the Riemann zeta-function

Autor: Steuding, Rasa, Steuding, Jörn, Matsumoto, Kohji, Laurinčikas, Antanas, Garunkštis, Ramūnas

Externí odkaz: http://hdl.handle.net/2237/20429

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A modified M\'obius $\mu$-function

Autor: Steuding, Rasa, Steuding, Jörn, Tóth, László

Publikováno v: Rend. Circ. Mat. Palermo 60 (2011), 13--21

We investigate a modified M\"obius $\mu$-function which is related to an infinite product of shifted Riemann zeta-functions. We prove conditional and unconditional upper and lower bounds for its summatory function, and, finally, we discuss relations

Externí odkaz: http://arxiv.org/abs/1109.4242

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Right triangles with algebraic sides and elliptic curves over number fields

Autor: Girondo, Ernesto, Gonzalez-Diez, Gabino, Gonzalez-Jimenez, Enrique, Steuding, Rasa, Steuding, Jorn

Publikováno v: Math. Slovaca 59, no. 3, 299-306 (2009)

Given any positive integer n, we prove the existence of infinitely many right triangles with area n and side lengths in certain number fields. This generalizes the famous congruent number problem. The proof allows the explicit construction of these t

Externí odkaz: http://arxiv.org/abs/0903.4611

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LINEAR COMBINATIONS OF HURWITZ ZETA-FUNCTIONS

Autor: STEUDING, Rasa, STEUDING, Jörn

Publikováno v: Kyushu Journal of Mathematics. 76(1):27-41

We study the distribution of zeros of finite linear combinations of Hurwitz zeta-functions plus an arbitrary constant, and prove a Riemann-von Mangoldt type formula for their number of non-trivial zeros. Finally, as an application, we show that two H

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=jairo_______::633f0e5529f66c9875b43da21afe7d58
http://hdl.handle.net/2324/4843914