Cover Image

On quaternionic ordinary families of modular forms and $p$-adic $L$-functions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Longo, Matteo, Magrone, Paola, Walchek, Eris Rocha
Format:	Preprint
Published:	2025
Subjects:	Number Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Quaternionic families of Heegner points and $p$-adic $L$-functions
by: Longo, Matteo, et al.
Published: (2025)

Big Heegner points, generalized Heegner classes and $p$-adic $L$-functions in the quaternionic setting
by: Longo, Matteo, et al.
Published: (2024)

Interpolation of generalized Heegner classes along quaternionic Coleman families
by: Walchek, Eris Rocha
Published: (2025)

Artin formalism for $p$-adic $L$-functions of modular forms at non-ordinary primes
by: Lei, Antonio
Published: (2024)

On $p$-adic Asai $L$-functions of Bianchi modular forms at non-ordinary primes and their decomposition into bounded $p$-adic $L$-functions
by: Deo, Mihir
Published: (2025)

Critical Lambda-adic modular forms and bi-ordinary complexes
by: Castella, Francesc, et al.
Published: (2024)

Signed $p$-adic $L$-functions of Bianchi modular forms
by: Deo, Mihir
Published: (2024)

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

Functional equation of the $p$-adic $L$-function of Bianchi modular forms
by: Palacios, Luis Santiago
Published: (2021)

Non-cuspidal Bianchi modular forms and Katz $p$-adic $L$-functions
by: Palacios, Luis Santiago
Published: (2023)

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

A $p$-adic cohomological approach to congruences of meromorphic modular forms
by: Bordignon, Paolo
Published: (2026)

p-adic interpolation of Gauss--Manin connections on nearly overconvergent modular forms and p-adic L-functions
by: Graham, Andrew, et al.
Published: (2023)

Bianchi modular symbols and $p$-adic $L$-functions
by: Kwon, Jaesung
Published: (2021)

Local densities of $p$-adic quaternion hermitian forms
by: Hironaka, Yumiko
Published: (2023)

Congruences of modular forms and modularity of Tate-Shafarevich classes
by: Tamiozzo, Matteo
Published: (2024)

Computations of algebraic modular forms associated with the definite quaternion algebra of discriminant $2$
by: Ochiai, Hiroyuki, et al.
Published: (2023)

An introduction to $p$-adic $L$-functions
by: Jacinto, Joaquín Rodrigues, et al.
Published: (2023)

Horizontal $p$-adic $L$-functions
by: Kriz, Daniel, et al.
Published: (2023)

Spherical designs for finite quaternionic unit groups and their applications to modular forms
by: Hirao, Masatake, et al.
Published: (2025)

On the finite length of some $p$-adic representations of the quaternion algebra over $\Q_p$
by: Liu, Hao, et al.
Published: (2025)

Kolyvagin's conjecture for modular forms
by: Longo, Matteo, et al.
Published: (2024)

Anticyclotomic $p$-adic $L$-functions for Coleman families of $U_{n+1} \times U_{n}$
by: Dimitrakopoulou, Xenia
Published: (2023)

Non-vanishing of the $p$-adic constant for mock modular forms associated to a newform with real Fourier coefficients
by: Tajima, Ryota
Published: (2026)

Hirzebruch-Zagier cycles in $p$-adic families and adjoint $L$-values
by: Cauchi, Antonio, et al.
Published: (2024)

Transcendence and algebraic independence of a family of $p$-adic valuation generating functions
by: Lam, Kelvin
Published: (2025)

Derived $p$-adic heights and the leading coefficient of the Bertolini--Darmon--Prasanna $p$-adic $L$-function
by: Castella, Francesc, et al.
Published: (2023)

Anticyclotomic Iwasawa main conjectures for modular forms
by: Longo, Matteo, et al.
Published: (2026)

Invariant measures on p-adic Lie groups: the p-adic quaternion algebra and the Haar integral on the p-adic rotation groups
by: Aniello, Paolo, et al.
Published: (2023)

Kolyvagin's conjecture for modular forms at non-ordinary primes
by: Da Ronche, Enrico
Published: (2025)

Toric periods for a $p$-adic quaternion algebra
by: Anandavardhanan, U. K., et al.
Published: (2023)

The shifted fourth moment of modular form L-functions in the weight aspect
by: Balkanova, Olga, et al.
Published: (2024)

On the p-adic integration over Igusa towers of Siegel modular varieties
by: Seveso, Marco Adamo
Published: (2025)

Anticyclotomic $p$-adic $L$-functions for Rankin--Selberg product
by: Liu, Yifeng
Published: (2023)

$p$-adic moments of $L$-functions
by: Kriz, Daniel, et al.
Published: (2025)

$p$-adic $L$-functions for elliptic curves over global function fields
by: Tan, Ki-Seng
Published: (2026)

On $p$-adic solutions to KZ equations, ordinary crystals, and $p^s$-hypergeometric solutions
by: Varchenko, Alexander, et al.
Published: (2024)

The Asai--Flach Euler system in $p$-adic families
by: Loeffler, David, et al.
Published: (2025)

On $p$-adic denseness of quotients of values of integral forms
by: Antony, Deepa, et al.
Published: (2023)

Gelfand-Kirillov bound for $p$-adic Banach representations with infinitesimal character for $\text{GL}_2$ and quaternion units
by: Sorgdrager, Reinier
Published: (2026)