English

Effective uniform approximation by $L$-functions in the Selberg class

Number Theory 2021-01-13 v1

Abstract

Recently, Garunk\v{s}tis, Laurin\v{c}ikas, Matsumoto, J. & R. Steuding showed an effective universality-type theorem for the Riemann zeta-function by using an effective multi-dimensional denseness result of Voronin. We will generalize Voronin's effective result and their theorem to the elements of the Selberg class satisfying some conditions.

Keywords

Cite

@article{arxiv.2101.04638,
  title  = {Effective uniform approximation by $L$-functions in the Selberg class},
  author = {Kenta Endo},
  journal= {arXiv preprint arXiv:2101.04638},
  year   = {2021}
}
R2 v1 2026-06-23T22:04:56.669Z