English

On a generalisation of the Riemann $\xi$-function

Number Theory 2021-10-26 v1

Abstract

It is known that we can construct the meromorphic function Zk(s)Z_k(s) associated with the higher derivative of Hardy's ZZ-function. In this paper, we introduce the entire function derived from Zk(s)Z_k(s), a generalisation of the Riemann ξ\xi-function and prove some properties.

Keywords

Cite

@article{arxiv.2110.12755,
  title  = {On a generalisation of the Riemann $\xi$-function},
  author = {Hirotaka Kobayashi},
  journal= {arXiv preprint arXiv:2110.12755},
  year   = {2021}
}

Comments

18 pages

R2 v1 2026-06-24T07:09:14.525Z