Bagchi's Theorem for families of automorphic forms

E. Kowalski

Bagchi's Theorem for families of automorphic forms

Number Theory 2017-02-21 v1

Authors: E. Kowalski

Abstract

We prove a version of Bagchi's Theorem and of Voronin's Universality Theorem for family of primitive cusp forms of weight $2$ and prime level, and discuss under which conditions the argument will apply to general reasonable family of automorphic $L$ -functions.

Keywords

Bagchi's theorem Voronin's universality theorem automorphic forms primitive cusp forms automorphic L-functions weight 2 prime level

Cite

@article{arxiv.1702.05610,
  title  = {Bagchi's Theorem for families of automorphic forms},
  author = {E. Kowalski},
  journal= {arXiv preprint arXiv:1702.05610},
  year   = {2017}
}

Comments

15 pages

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