On Goldfeld's Proof of Siegel's Theorem
Zihao Liu
TL;DR
This paper thoroughly examines Goldfeld's proof of Siegel's theorem, providing detailed explanations and complete proofs of the assumptions involved to clarify and validate the original argument.
Contribution
It offers a comprehensive and detailed account of Goldfeld's proof, including rigorous proofs of previously assumed nontrivial steps.
Findings
Clarified the assumptions in Goldfeld's proof
Provided complete proofs of key steps
Enhanced understanding of Siegel's theorem proof
Abstract
In this paper, we give a detailed account of Goldfeld's proof of Siegel's theorem. Particularly, we present complete proofs of the nontrivial assumptions made in his paper.
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Taxonomy
TopicsAnalytic Number Theory Research · semigroups and automata theory · Finite Group Theory Research