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JOURNALS // Teoriya Veroyatnostei i ee Primeneniya // Archive

Teor. Veroyatnost. i Primenen., 2021 Volume 66, Issue 4, Pages 636–656 (Mi tvp5515)

This article is cited in 4 papers

The life, work, and legacy of P. L. Chebyshev

N. H. Bingham

Mathematics Department, Imperial College, London, UK

Abstract: We survey briefly the life and work of P. L. Chebyshev and his ongoing influence. We discuss his contributions to probability, number theory, and mechanics; his pupils and mathematical descendants; and his role as the founding father of Russian mathematics in general and of the Russian school of probability in particular.

Keywords: distribution of prime numbers, Bienaymé–Chebyshev inequality, law of large numbers, central limit theorem, Chebyshev polynomials, Chebyshev alternant, the moment problem.

Received: 04.05.2021
Accepted: 08.06.2021

DOI: 10.4213/tvp5515


 English version:
Theory of Probability and its Applications, 2022, 66:4, 506–521

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© Steklov Math. Inst. of RAS, 2024