On $p$-adic $L$-functions for $\text{GL}(2)\times\text{GL}(3)$ via pullbacks of Saito-Kurokawa lifts

DOI10.1016/j.jnt.2023.02.016OpenAlexW4360603800MaRDI QIDQ2700676

Daniele Casazza, Carlos de Vera-Piquero

Publication date: 27 April 2023

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.06566

zbMATH Keywords

$p$-adic interpolation of special values factorization of $p$-adic L-functions hida families ichino formula special values and Petersson product

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Congruences for modular and (p)-adic modular forms (11F33) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Relative modular symbols and $p$-adic Rankin-Selberg convolutions
The theory of Jacobi forms
Fourier coefficients and modular forms of half-integral weight
Galois representations into $\text{GL}_2(\mathbb Z_p X)$ attached to ordinary cusp forms.
Values of L-series of modular forms at the center of the critical strip
On the factorization of p-adic L-series
Über eine Spezialschar von Modulformen zweiten Grades. (On a Spezialschar of modular forms of second degree.)
Über eine Spezialschar von Modulformen zweiten Grades. II, III. (On a Spezialschar of modular forms of second degree. II, III)
On the $p$-adic deformations of Saito-Kurokawa lifts
Canonical periods and congruence formulae
Kato's Euler system and rational points on elliptic curves. I: A $p$-adic Beilinson formula
Triple product $p$-adic $L$-functions for balanced weights
Pullback formulae for nearly holomorphic Saito-Kurokawa lifts
Pullbacks of Saito-Kurokawa lifts and a central value formula for degree 6 $L$-series
$p$-adic $L$-functions and $p$-adic periods of modular forms
The Saito-Kurokawa lifting and Darmon points
Saito-Kurokawa liftings of level $N$ and practical construction of Jacobi forms
On modular forms of half integral weight
Pullbacks of Saito-Kurokawa lifts
Factorization of $p$-adic Rankin $L$-series
Nonvanishing theorems for L-functions of modular forms and their derivatives
The nonvanishing hypothesis at infinity for Rankin-Selberg convolutions
Diagonal cycles and Euler systems I: A $p$-adic Gross-Zagier formula
Onp-adicL-Functions for GL (n) × GL (n-1) Over Totally Real Fields
AUTOMORPHIC SL ₂ ‐PERIODS AND THE SUBCONVEXITY PROBLEM FOR GL ₂ × GL ₃
On the Special Values of Certain Rankin–Selberg L-Functions and Applications to Odd Symmetric Power L-Functions of Modular Forms
SUR LES DÉFORMATIONS p-ADIQUES DE CERTAINES REPRÉSENTATIONS AUTOMORPHES
On Certain Period Relations for Cusp Forms on GLn
Modules of Congruence of Hecke Algebras and L-Functions Associated with Cusp Forms
Newforms of half-integral weight.
On construction of holomorphic cusp forms of half integral weight
On p -adic families of Siegel cusp forms in the Maaß Spezialschar
On period relations for automorphic 𝐿-functions I
THE CRITICAL VALUES OF RANKIN–SELBERG CONVOLUTIONS
Hida families and p-adic triple product L-functions
Heegner points, stark-Heegner points, and diagonal classes
On the two-variable Iwasawa main conjecture
Modular Forms

This page was built for publication: On $p$-adic $L$-functions for $\text{GL}(2)\times\text{GL}(3)$ via pullbacks of Saito-Kurokawa lifts

On \(p\)-adic \(L\)-functions for \(\text{GL}(2)\times\text{GL}(3)\) via pullbacks of Saito-Kurokawa lifts