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20122024
most citedThe p-adic L-functions of Evil Eisenstein Series

13 citations · 31 across the 14 of their papers we have counts for

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Showing 2023Show all

6 papers · 1 filter

math.NT2023

On The Equivariant Tamagawa Number Conjecture

Samit Dasgupta, Mahesh Kakde, Jesse Silliman

Let be a totally real field and a finite abelian CM extension of . Using class field theory, we show that our previous result giving a strong form of the Brumer-Stark co…

math.NT2023

The Residually Indistinguishable Case of Ribet's Method for GL2

Samit Dasgupta, Mahesh Kakde, Jesse Silliman +1

Ribet's method provides a strategy for constructing a nontrivial extension of a -adic Galois representation by another such representation . Suppose we are working ov…

math.NT2023

On Constructing Extensions of Residually Isomorphic Characters

Samit Dasgupta

This is an exposition of our joint work with Kakde, Silliman, and Wang, in which we prove a version of Ribet's Lemma for in the residually indistinguishable case. W…

math.NT2023

The Brumer--Stark Conjecture over Z

Samit Dasgupta, Mahesh Kakde, Jesse Silliman +1

In this paper we give a complete proof of the Brumer-Stark conjecture over .

math.NT2023

Two encounters with the p-adic Stark conjecture

Benedict H. Gross, Samit Dasgupta

In this note we describe our personal encounters with the -adic Stark conjecture. Gross describes the period between and when he came to formulate these conjecture…

math.NT2023★ 2 cited

Ranks of matrices of logarithms of algebraic numbers I: the theorems of Baker and Waldschmidt-Masser

Samit Dasgupta

Let denote the -vector space of logarithms of algebraic numbers. In this expository work, we provide an introduction to the study of ranks of matrices wit…