Zobrazeno 1 - 10 of 10 pro vyhledávání: '"I. S. Rezvyakova"'
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Additive problem with the coefficients of Hecke L-functions
Autor: I. S. Rezvyakova
Publikováno v: Proceedings of the Steklov Institute of Mathematics. 296:234-242
An asymptotic formula is obtained in an additive problem with the coefficients of Hecke L-functions. The formula is uniform with respect to the parameters of the problem.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3587db2ee4e2b912d17f5ca70da090c8
https://doi.org/10.1134/s0081543817010187
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3
On the zeros of linear combinations of L-functions of degree two on the critical line. Selberg's approach
Autor: I. S. Rezvyakova
Publikováno v: Izvestiya: Mathematics. 80:602-622
We consider in detail Selberg's method for proving that under certain natural assumptions, a positive proportion of the non-trivial zeros of a linear combination of L-functions from the Selberg class lie on the critical line. As an example, we provid
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::01857fe586d468e79471249cd8247c03
https://doi.org/10.1070/im8463
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4
Selberg’s method in the problem about the zeros of linear combinations of L-functions on the critical line
Autor: I. S. Rezvyakova
Publikováno v: Doklady Mathematics. 92:448-451
In the late 1990s, Atle Selberg invented a new method, which had allowed him to prove that if a linear combination of Dirichlet L-functions satisfies a functional equation, then a positive proportion of its zeros lie on the critical line. The paper c
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::175c508f8a15e380afba424172f6e97c
https://doi.org/10.1134/s1064562415040158
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7
On the zeros on the critical line of L-functions corresponding to automorphic cusp forms
Autor: I. S. Rezvyakova
Publikováno v: Mathematical Notes. 88:423-439
We consider an automorphic cusp form of integer weight k ≥ 1, which is the eigenfunction of all Hecke operators. It is proved that, for the L-series whose coefficients correspond to the Fourier coefficients of such an automorphic form, the positive
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::65ef9c380bf742c33cc82d5b160015d7
https://doi.org/10.1134/s0001434610090154
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8
On zeros of Hecke L-functions and their linear combinations on the critical line
Autor: I. S. Rezvyakova
Publikováno v: Doklady Mathematics. 81:303-308
In this paper two theorems were obtained. In the first theorem it is proved that a positive proportion of non-trivial zeros lie on the critical line for L-functions attached to automorphic cusp forms for congruence-subgroups. Therefore, the class of
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1456a9adb22467a44c3696e5d88d9db8
https://doi.org/10.1134/s1064562410020390
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9
On simple zeros of derivatives of the Riemann $ \xi$-function
Autor: I S Rezvyakova
Publikováno v: Izvestiya: Mathematics. 70:265-276
We get a lower bound for the number of simple zeros of the function on the critical line, where .
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::5d4695483dce09249a2882404bbd0cf8
https://doi.org/10.1070/im2006v070n02abeh002312
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10
Zeros of the derivatives of the Riemann $ \xi$-function
Autor: I S Rezvyakova
Publikováno v: Izvestiya: Mathematics. 69:539-605
We show that the proportion of the zeros of the th derivative of the Riemann -function (where is an integer) that are on the critical line is greater than .
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::df6fe33de52243091527d9866a6bb46a
https://doi.org/10.1070/im2005v069n03abeh000538
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