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Recent Diophantine results on zeta values : a survey (Analytic number theory and related topics)

Michel Waldschmidt

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Abstract

After the proof by R. Ap\'ery of the irrationality of $\zeta(3)$ in 1976, a number of articles have been devoted to the study of Diophantine properties of values of the Riemann zeta function at positive integers.A survey has been written by S. Fischler for the Bourbaki Seminar in

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After the proof by R. Ap\'ery of the irrationality of $\zeta(3)$ in 1976, a number of articles have been devoted to the study of Diophantine properties of values of the Riemann zeta function at positive integers.A survey has been written by S. Fischler for the Bourbaki Seminar in

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Available abstract

After the proof by R. Ap\'ery of the irrationality of $\zeta(3)$ in 1976, a number of articles have been devoted to the study of Diophantine properties of values of the Riemann zeta function at positive integers.A survey has been written by S. Fischler for the Bourbaki Seminar in

Key concepts: Mathematics, Analytic number theory, Diophantine equation, Number theory, Calculus (dental), Discrete mathematics, Medicine, Dentistry

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