Back
pjm-v335-n2-p06-p
Journal article

On p-adic L-functions for GSp(4) x GL(2)

UniDistance Suisse

  • 2025
Published in:
  • Pacific J Math. - 2025, vol. 335, no. 2, p. 373–400
Number theory
English We use higher Coleman theory to construct a new p-adic L-function for GSp4 ×GL2. While Loeffler et al. (2021) had considered the p-adic variation of classes in the H2 of Shimura varieties for GSp4, here we explore the interpolation of classes in the H1, which detect critical values for a different range of weights, disjoint from the range covered by this earlier construction. Using the algebraicity result established in our earlier work (Loeffler and Rivero 2024) we further show an interpolation property in terms of complex L-values.
Research projects
Language
  • English
Classification
Mathematics
Other electronic version

Arxiv preprint

License
CC BY
Open access status
hybrid
Identifiers
  • ARK ark:/51647/srd1331761
Persistent URL
https://n2t.net/ark:/51647/srd1331761
Statistics
Document views: 43 File downloads:
  • pjm-v335-n2-p06-p.pdf: 17