2021•Monographs in number theoryRequires access

A Geometric Introduction to Transcendence Questions on Values of Modular Forms

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Abstract

We survey some key developments in the theory of transcendental numbers, paying special attention to Nesterenko's theorem on values of Eisenstein series and emphasizing its underlying geometric aspects. We finish with a brief discussion on periods and related open problems.

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We survey some key developments in the theory of transcendental numbers, paying special attention to Nesterenko's theorem on values of Eisenstein series and emphasizing its underlying geometric aspects. We finish with a brief discussion on periods and related open problems.

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We survey some key developments in the theory of transcendental numbers, paying special attention to Nesterenko's theorem on values of Eisenstein series and emphasizing its underlying geometric aspects. We finish with a brief discussion on periods and related open problems.

Key concepts: Transcendence (philosophy), Modular design, Mathematics, Epistemology, Philosophy, Pure mathematics, Computer science, Programming language

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