p-adic interpolation of Gauss--Manin connections on nearly overconvergent modular forms and p-adic L-functions
A Graham, V Pilloni, JR Jacinto - arXiv preprint arXiv:2311.14438, 2023 - arxiv.org
In this paper, we give a new geometric definition of nearly overconvergent modular forms
and $ p $-adically interpolate the Gauss-Manin connection on this space. This can be seen …
and $ p $-adically interpolate the Gauss-Manin connection on this space. This can be seen …
Unitary Friedberg--Jacquet periods and anticyclotomic p-adic L-functions
A Graham - arXiv preprint arXiv:2403.05960, 2024 - arxiv.org
We extend the construction of the $ p $-adic $ L $-function interpolating unitary Friedberg--
Jacquet periods in arXiv: 2110.05426 to include the $ p $-adic variation of Maass--Shimura …
Jacquet periods in arXiv: 2110.05426 to include the $ p $-adic variation of Maass--Shimura …
Nearly higher Coleman theory and p-adic L-functions for and
A Graham, R Rockwood - arXiv preprint arXiv:2411.04559, 2024 - arxiv.org
We construct four-variable $ p $-adic $ L $-functions for the spin Galois representation of a
Siegel modular form of genus 2 twisted by the Galois representation of a cuspidal modular …
Siegel modular form of genus 2 twisted by the Galois representation of a cuspidal modular …