Antonio Lei

activity

20092026

most citedEuler systems for Rankin--Selberg convolutions of modular forms

88 citations · 416 across the 62 of their papers we have counts for

collaborators

Showing 2017Show all

4 papers · 1 filter

math.NT2017

Plus and minus logarithms and Amice transform

Cedric Dion, Antonio Lei

We give a new description of Pollack's plus and minus $p$ -adic logarithms $lo g_{p}^{\pm}$ in terms of distributions. In particular, if $μ_{\pm}$ denote the pre-images of $lo g_{p}^{\pm}$ un…

math.NT2017★ 3 cited

Functional Equation for p-adic Rankin-Selberg L-functions

Kazim Buyukboduk, Antonio Lei

We prove a functional equation for the three-variable $p$ -adic $L$ -function attached to the Rankin-Selberg convolution of a Coleman family and a CM Hida family, which was studied b…

math.NT2017

Comparing anticyclotomic Selmer groups of positive coranks for congruent modular forms

Jeffrey Hatley, Antonio Lei

We study the variation of Iwasawa invariants of the anticyclotomic Selmer groups of congruent modular forms under the Heegner hypothesis. In particular, we show that even if the Se…

math.NT2017

Estimating class numbers over metabelian extensions

Antonio Lei

Let $p$ be an odd prime and $L / K$ a $p$ -adic Lie extension whose Galois group is of the form $Z_{p}^{d - 1} ⋊ Z_{p}$ . Under certain assumptions on the ramification…