On the arithmetic of weight two Eisenstein series

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Abstract/Contents

Abstract
This thesis contains two separate results on the arithmetic of Eisenstein series. The first is a new proof of theorems of Merel and Lecouturier on the relationship between Mazur's Eisenstein ideal and special values of Dirichlet L-functions. The second is a computation of the Galois representations and mixed Hodge structures associated to certain Eisenstein series on Hilbert modular varieties.

Description

Type of resource text
Form electronic resource; remote; computer; online resource
Extent 1 online resource.
Place California
Place [Stanford, California]
Publisher [Stanford University]
Copyright date 2019; ©2019
Publication date 2019; 2019
Issuance monographic
Language English

Creators/Contributors

Author Silliman, Jesse Kyle
Degree supervisor Venkatesh, Akshay, 1981-
Thesis advisor Venkatesh, Akshay, 1981-
Thesis advisor Conrad, Brian, 1970-
Thesis advisor Taylor, R. L. (Richard Lawrence), 1962-
Degree committee member Conrad, Brian, 1970-
Degree committee member Taylor, R. L. (Richard Lawrence), 1962-
Associated with Stanford University, Department of Mathematics.

Subjects

Genre Theses
Genre Text

Bibliographic information

Statement of responsibility Jesse Silliman.
Note Submitted to the Department of Mathematics.
Thesis Thesis Ph.D. Stanford University 2019.
Location electronic resource

Access conditions

Copyright
© 2019 by Jesse Kyle Silliman
License
This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).

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