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Upper bounds of some special zeros for the Rankin-Selberg L-function

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Veröffentlicht/Copyright: 24. Juli 2020
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Abstract

In this paper, we prove some conditional results about the order of zero at central point s = 1/2 of the Rankin-Selberg L-function L(s, πf × π͠f). Then, we give an upper bound for the height of the first zero with positive imaginary part of L(s, πf × π͠f). We apply our results to automorphic L-functions.

MSC 2010: 11M41; 11M36
  1. (Communicated by Filippo Nuccio)

References

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Received: 2019-05-17
Accepted: 2020-01-22
Published Online: 2020-07-24
Published in Print: 2020-08-26

© 2020 Mathematical Institute Slovak Academy of Sciences

Artikel in diesem Heft

  1. Regular papers
  2. Some relative normality properties in locales
  3. Upper bounds of some special zeros for the Rankin-Selberg L-function
  4. Factorization of polynomials over valued fields based on graded polynomials
  5. Varieties of ∗-regular rings
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