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An inequality for the Selberg zeta-function, associated to the compact Riemann surface Cover

An inequality for the Selberg zeta-function, associated to the compact Riemann surface

By: Igoris Belovas  
Open Access
|Dec 2019

References

  1. [1] I. Belovas and L. Sakalauskas, An inequality for the modulus of the ratio of two complex gamma functions, Miskolc Math. Notes, 20, 1 (2019), 115–130.10.18514/MMN.2019.2543
  2. [2] R. Garunkštis and A. Grigutis, The size of the Selberg zeta-function at places symmetric with respect to the line Re(s) = 1/2, Results. Math., 70, 1 (2016), 271–281.10.1007/s00025-015-0486-7
  3. [3] I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 8th edition ed. Academic Press, 2014.
  4. [4] D. A. Hejhal, The Selberg trace formula for PSL(2,𝕉) vol. 1. Lecture Notes in Mathematics, vol. 548. Springer, Berlin (1976).10.1007/BFb0079608
  5. [5] D. A. Hejhal, The Selberg trace formula for PSL(2,𝕉), vol. 2. Lecture Notes in Mathematics, vol. 1001. Springer, Berlin (1983)10.1007/BFb0061302
  6. [6] T. S. Trudgian, A short extension of two of Spiras results, J. Math. Inequal., 80, 3-4 (2015), 795–798.10.7153/jmi-09-65
DOI: https://doi.org/10.2478/auom-2019-0032 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 37 - 44
Submitted on: Dec 17, 2018
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Accepted on: Mar 15, 2019
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Published on: Dec 21, 2019
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2019 Igoris Belovas, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.