Ribet's construction of a suitable cusp eigenform
Anupam Saikia
TL;DR
This paper provides a detailed, self-contained explanation of Ribet's method for constructing a weight 2 Hecke eigenform with specific congruence properties, elucidating a key technique in number theory.
Contribution
It offers a comprehensive, accessible exposition of Ribet's construction, clarifying a fundamental method in modular forms and Galois representations.
Findings
Explicit construction of a cusp eigenform with desired properties
Clarification of Ribet's technique for congruences in modular forms
Enhanced understanding of the link between eigenforms and Galois representations
Abstract
This article gives a self-contained exposition on Ribet's construction of a Hecke eigenform of weight 2 with certain congruence properties.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Analytic Number Theory Research