37 citations · 86 across the 12 of their papers we have counts for
11 papers · 1 filter
The number of non-zero coefficients of modular forms (mod p)
Joel Bellaiche, Kannan Soundararajan
We give an asymptotic formula for the number of non-zero coefficients of modular forms (mod p).
Images of Pseudo-Representations and Coefficients of Modular Forms modulo p
Joël Bellaïche
We describe the image of general families of two-dimensional representations over compact semi-local rings. Applying this description to the family carried by the universal Hecke a…
Remarks on the error term in Chebotarev Density Theorem
Joël Bellaïche
We discuss various effective forms of Chebotarev's density theorem, answering a question of Serre and a question of Murty, Murty and Seradha.
On the Eigencurve at classical weight one points
Joël Bellaïche, Mladen Dimitrov
We show that the p-adic Eigencurve is smooth at classical weight one points which are regular at p and give a precise criterion for etaleness over the weight space at those points.…
The p-adic L-functions of Evil Eisenstein Series
Joël Bellaïche, Samit Dasgupta
We compute the -adic -functions of evil Eisenstein series, showing that they factor as products of two Kubota--Leopoldt -adic -functions times a logarithmic term. This…
Critical p-adic L-function
Joel Bellaiche
We attach p-adic L-functions to critical modular forms and study them. We prove that those L-functions fit in a two-variables p-adic L-function defined locally everywhere on the ei…