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PreprintCC BY 4.0arXiv

An asymptotic formula for a cubic moment of GL2 L-functions

  • Catinca Mujdei
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Abstract

We obtain an asymptotic formula for a cubic moment of self-dual GL2 L-functions studied by Petrow and Young, with a small extra averaging over characters. Our asymptotic consists of the main term conjectured by Conrey--Farmer--Keating--Rubinstein--Snaith and a power-saving error term whose strength depends on the amount of extra averaging.

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Cite

BibTeXRIS
BibTeX
@misc{mujdei2026asymptotic,
  title = {{An asymptotic formula for a cubic moment of $GL_2$ $L$-functions}},
  author = {Catinca Mujdei},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.13095},
  eprint = {2609.13095},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.13095},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - An asymptotic formula for a cubic moment of GL_2 L-functions
AU  - Catinca Mujdei
PY  - 2026
DA  - 2026/09/11
PB  - arXiv
DO  - 10.48550/arxiv.2609.13095
UR  - https://arxiv.org/abs/2609.13095
AB  - We obtain an asymptotic formula for a cubic moment of self-dual GL_2 L-functions studied by Petrow and Young, with a small extra averaging over characters. Our asymptotic consists of the main term conjectured by Conrey--Farmer--Keating--Rubinstein--Snaith and a power-saving error term whose strength depends on the amount of extra averaging.
ER  -