Joaquín Rodrigues Jacinto

most citedAlgebraic cycles and functorial lifts from

G_{2}

PGSp_{6}

3 citations · 4 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2023

p-adic interpolation of Gauss--Manin connections on nearly overconvergent modular forms and p-adic L-functions

Andrew Graham, Vincent Pilloni, Joaquín Rodrigues Jacinto

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 as…

math.NT2023★ 1 cited

An introduction to $p$ -adic $L$ -functions

Joaquín Rodrigues Jacinto, Chris Williams

These expository notes introduce $p$ -adic $L$ -functions and the foundations of Iwasawa theory. We focus on Kubota--Leopoldt's $p$ -adic analogue of the Riemann zeta function, which…

math.NT2022★ 3 cited

Algebraic cycles and functorial lifts from $G_{2}$ to $PGSp_{6}$

Antonio Cauchi, Francesco Lemma, Joaquín Rodrigues Jacinto

We study instances of Beilinson-Tate conjectures for automorphic representations of $PGSp_{6}$ whose Spin $L$ -function has a pole at $s = 1$ . We construct algebraic cycles of…

p-adic interpolation of Gauss--Manin connections on nearly overconvergent modular forms and p-adic L-functions

An introduction to p-adic L-functions

Algebraic cycles and functorial lifts from G2​ to PGSp6​

An introduction to $p$ -adic $L$ -functions

Algebraic cycles and functorial lifts from $G_{2}$ to $PGSp_{6}$