output
20162024
most citedOn M-functions associated with modular forms

4 citations

Showing math.NTShow all

10 papers · 1 filter

math.NT2024

Non-perfect pairings between Hecke algebra and modular forms over function fields

Cécile Armana

We study two analogs, for modular forms over , of the pairing between Hecke algebra and cusp forms given by the first coefficient in the expansion. For Drinfeld…

math.NT2023

Exceptional case of the non semi-simple Real Abelian Main Conjecture

Georges Gras

In the papers: "The Chevalley--Herbrand formula and the real abelian Main Conjecture (New criterion using capitulation of the class group),J. Number Theory 248 (2023)" and "On the…

math.NT2023

New characterization of the norm of the fundamental unit of

Georges Gras

We give an elementary criterion for the norm of the fundamental unit of , square-free. More precisely, if , $…

math.NT2021

Triquadratic p-Rational Fields

Julien Koperecz

In his work about Galois representations, Greenberg conjectured the existence, for any odd prime p and any positive integer t, of a multiquadratic p-rational number field of degree…

math.NT2019

Successive maxima of the non-genus part of class numbers

Georges Gras

Some PARI programs have bringed out a property for the non-genus part of the class number of the imaginary quadratic fields, with respect to , where

math.NT2019

Note on some p-invariants of Q(N^{1/p}) using reflection theorem

Georges Gras

Let p > 2 be a prime number and let N be any rational integer. We consider the p-class groups Cl(L), Cl(M) of the fields and , by comparison with…