Moment of derivatives of L-functions for two distinct newforms

Seokhyun Choi; Beomho Kim; Hansol Kim; Hojin Kim; Wonwoong Lee

Moment of derivatives of L-functions for two distinct newforms

Number Theory 2025-03-19 v2

Authors: Seokhyun Choi , Beomho Kim , Hansol Kim , Hojin Kim , Wonwoong Lee

Abstract

We establish an unconditional result concerning the asymptotic formula for the moment of derivatives of $L$ -functions $L(s, f \otimes \chi_{8d})L(s, g \otimes \chi_{8d})$ over quadratic twists, where $f$ and $g$ are distinct cuspidal newforms.

Keywords

L-functions moments of derivatives newforms quadratic twists asymptotic formula

Cite

@article{arxiv.2411.07630,
  title  = {Moment of derivatives of L-functions for two distinct newforms},
  author = {Seokhyun Choi and Beomho Kim and Hansol Kim and Hojin Kim and Wonwoong Lee},
  journal= {arXiv preprint arXiv:2411.07630},
  year   = {2025}
}

Comments

There is an issue with the argument presented in Section 6, particularly in the computation of $S_2$

Moment of derivatives of L-functions for two distinct newforms

Abstract

Keywords

Cite

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