English

Derivatives of L-functions

Number Theory 2019-10-14 v1 Algebraic Geometry

Abstract

In this paper, we investigate the derivatives of L-functions, in particular, the Riemann zeta function, the Hasse-Weil L-function, the Rankin L-function and the Artin L-function, and survey the relations between the derivatives of L-functions and the geometry and arithmetic of the associated Shimura varieties.

Keywords

Cite

@article{arxiv.1910.05010,
  title  = {Derivatives of L-functions},
  author = {Jae-Hyun Yang},
  journal= {arXiv preprint arXiv:1910.05010},
  year   = {2019}
}

Comments

53 pages

R2 v1 2026-06-23T11:40:39.022Z