Have a personal or library account? Click to login
On the Distribution Modulo one of the a-Points of the k th Derivative of an L-Function in the Selberg Class Cover

On the Distribution Modulo one of the a-Points of the k th Derivative of an L-Function in the Selberg Class

Open Access
|Feb 2025

References

  1. CHAUDHARY, M. P.— GUIBEN, S.—MAZHOUDA, K.—MEKKAOUI, M.: On the a-points of the kth derivatives of an L-functions in the Selberg class, Integers 24, (2024), Paper A11, 15 pp.
  2. JAKHLOUTI, M. T.—MAZHOUDA, K.—STEUDING, J.: On the distribution of the a-points of a Selberg class L-function modulo one,Arch. Math. 104 (2015), 419–429.
  3. KACZOROWSKI, J.—PERELLI, A.: A note on the degree conjecture for the Selberg class, Rend. Circ. Mat. Palermo 57 (2008), 443–448.
  4. KI, H.—LEE, Y.: Zeros of the derivatives of the Riemann zeta function, Funct. Approx. Comment. Math. 47 (2012), no. 1, 79–87.
  5. MAZHOUDA, K.—OMAR, S.: Mean-square of L-functions in the Selberg class. In: (Steuding, Rasa eds. et al.), New Directions in Value-distribution Theory of zeta and L-functions. Proceedings of the Conference, Würzburg, Germany, October 6–10, 2008, Ber. Math., Shaker Verlag, Aachen 2009, pp. 249–263.
  6. ONOZUKA, T.: On the a-points of the derivatives of the Riemann zeta function, Eur. J. Math. 3 (2017), no. 1, 53–76.
  7. SELBERG, A.: Old and new conjectures and results about a class of Dirichlet series. In: (E. Bombieri ed. et al), Proceedings of the Amalfi Conference on Analytic Number Theory, Maiori, Amalfi, Italy, 25–29 September, 1989 Universitá di Salerno (1992), pp. 367–385.
  8. ŠIMĖNAS, R.: Zeros of the higher-order derivatives of the functions belonging to the extended Selberg class, Lith. Math.J. 61 (2021), no. 1, 87–95.
  9. STEUDING, J.: The roots of the equation ζ(s)= a are uniformly distributed modulo one.In: (A. Laurin˘cikas et al. eds.), Proceedings of the Fifth International Conference in Honour of J. Kubilius, Palanga 2011, Analytic and Probabilistic Methods in Number Theory, TEV, Vilnius 2012, pp. 243–249.
  10. STEUDING, J.: Value-distribution of L-functions, Lecture Notes in Mathematics, Vol. 1877, Springer-Verlag, Berlin, 2007.
DOI: https://doi.org/10.2478/udt-2024-0003 | Journal eISSN: 2309-5377 | Journal ISSN: 1336-913X
Language: English
Page range: 15 - 32
Submitted on: Nov 9, 2023
Accepted on: Apr 13, 2024
Published on: Feb 24, 2025
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2025 Mohammed Mekkaoui, Kamel Mazhouda, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.