Cover Image

QM abelian varieties, hypergeometric character sums and modular forms

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Hoffman, Jerome William, Tu, Fang-Ting
Format:	Preprint
Published:	2024
Subjects:	Number Theory 11T23, 11T24, 11S40, 11F80, 11F85, 33C05, 33C65
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On rank $2$ hypergeometric motives
by: Madriaga, Franco Golfieri, et al.
Published: (2026)

New phenomena arising from L-invariants of modular forms
by: Bergdall, John, et al.
Published: (2024)

Traces of Hecke Operators via Hypergeometric Character Sums
by: Hoffman, Jerome W., et al.
Published: (2024)

$\mathcal L$-invariants and deep congruences between newforms
by: Conti, Andrea, et al.
Published: (2026)

On local characterizations of Hida families of Siegel modular forms
by: Deo, Shaunak V., et al.
Published: (2026)

Special $L$-values of certain CM weight three Hecke eigenforms
by: Arora, Paresh, et al.
Published: (2026)

Slopes of modular forms and geometry of eigencurves
by: Liu, Ruochuan, et al.
Published: (2023)

Slopes of modular forms and the Ghost conjecture
by: Hur, Eunsu
Published: (2025)

A theta operator for the group $\mathrm{GSp}_4$
by: Fiore, Leonardo
Published: (2024)

A new perspective on the rank of Mazur's Eisenstein Hecke algebra
by: Lang, Jaclyn, et al.
Published: (2026)

Huber rings and valuation spectra
by: Bergdall, John
Published: (2023)

Elliptic curves and Fourier coefficients of meromorphic modular forms
by: Zhang, Pengcheng
Published: (2025)

Selmer groups of symmetric powers of ordinary modular Galois representations
by: Zhang, Xiaoyu
Published: (2018)

A characterization of ordinary modular eigenforms with CM
by: Adibhatla, Rajender, et al.
Published: (2012)

On the modularity of elliptic curves over imaginary quadratic fields
by: Caraiani, Ana, et al.
Published: (2023)

Iwasawa invariants of modular forms with $a_p=0$
by: Gajek-Leonard, Rylan
Published: (2023)

Statistics for Iwasawa Invariants of elliptic curves, $\rm{II}$
by: Kundu, Debanjana, et al.
Published: (2021)

Certain squarefree levels of reducible modular mod$\,\ell$ Galois representations
by: Kumar, Arvind, et al.
Published: (2024)

Klingen Eisenstein series congruences and modularity
by: Berger, Tobias, et al.
Published: (2025)

Splitting Hypergeometric Functions over Roots of Unity
by: McCarthy, Dermot, et al.
Published: (2024)

On Galois representations associated to mod $p$ Hilbert modular forms
by: Diamond, Fred, et al.
Published: (2025)

A $p$-adic adjoint $L$-function and the ramification locus of the Hilbert modular eigenvariety
by: Balasubramanyam, Baskar, et al.
Published: (2020)

Localized Gouvêa-Mazur conjecture
by: Ren, Rufei
Published: (2022)

Non-optimal levels of some reducible mod $p$ modular representations
by: Deo, Shaunak V.
Published: (2022)

Indices of nilpotency in certain spaces of modular forms
by: Boylan, Matthew, et al.
Published: (2024)

Quantitative level lowering for weight two Hilbert modular forms
by: Moakher, Mohamed
Published: (2024)

Mod-$2$ Hecke algebras of level $3$ and $5$
by: Deo, Shaunak V., et al.
Published: (2022)

Congruence conditions for the mod $λ$ values of the Fourier coefficients of classical eigenforms
by: Daas, Michael A.
Published: (2025)

The eigencurve at crystalline points with scalar Frobenius and Gross-Stark regulators
by: Betina, Adel, et al.
Published: (2025)

Congruences of $p$-adic $L$-functions of modular forms at non-ordinary primes
by: Corpuz, Raiza, et al.
Published: (2025)

Eisenstein points on the Hilbert cuspidal eigenvariety
by: Betina, Adel, et al.
Published: (2023)

Families of symplectic Galois representations over small parabolic eigenvarieties for Siegel cuspforms of genus $2$
by: Manji, Muhammad, et al.
Published: (2026)

Determination of certain mod $p$ Galois representations using local constancy
by: Ganguli, Abhik, et al.
Published: (2024)

$p$-adic rigidity of eigenforms of infinite slope
by: Conti, Andrea
Published: (2024)

Explicit non-Gorenstein R=T via rank bounds I: Deformation theory
by: Hsu, Catherine, et al.
Published: (2022)

Atkin and Swinnerton-Dyer congruences for meromorphic modular forms
by: Allen, Michael, et al.
Published: (2025)

On the finiteness of prime trees and their relation to modular forms
by: Fujiyoshi, Yusuke
Published: (2026)

Newform Eisenstein Congruences of Local Origin
by: Fretwell, Dan, et al.
Published: (2023)

$p$-adic $L$-functions for $P$-ordinary Hida families on unitary groups
by: Marcil, David
Published: (2024)

An asymptotic property on a reciprocity law for the Bettin--Conrey cotangent sum
by: Akatsuka, Hirotaka, et al.
Published: (2024)