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The St. Petersburg School of Number Theory

About this Title

B. N. Delone. Translated by Professor Robert G. Burns

Publication: History of Mathematics
Publication Year: 2005; Volume 26
ISBNs: 978-0-8218-3457-2 (print); 978-1-4704-3894-4 (online)
DOI: https://doi.org/10.1090/hmath/026
MathSciNet review: MR2155903
MSC: Primary 11-03; Secondary 01A55, 01A60, 01A72

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Table of Contents

Front/Back Matter

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Pafnutiĭ L’vovich Chebyshev (1821–1894)

• Pafnutiĭ L’vovich Chebyshev
• Chebyshev’s articles on the prime numbers

Aleksandr Nikolaevich Korkin (1837–1908)

• Aleksandr Nikolaevich Korkin
• The articles of Korkin and Zolotarev on the minima of positive quadratic forms

Egor Ivanovich Zolotarev (1847–1878)

• Egor Ivanovich Zolotarev
• Zolotarev’s memoirs on the theory of ideal numbers

Andreĭ Andreevich Markov (1856–1922)

• Andreĭ Andreevich Markov
• On binary quadratic forms of positive determinant

Georgiĭ Fedoseevich Voronoĭ (1868–1908)

• Georgiĭ Fedoseevich Voronoĭ
• Voronoĭ’s dissertations on algebraic numbers of the third degree
• Voronoĭ’s memoir of 1903: “On a problem from the theory of asymptotic functions”
• Voronoĭ’s memoirs on quadratic forms

Ivan Matveevich Vinogradov (1891–1983)

• Ivan Matveevich Vinogradov
• Works of Vinogradov from the first period of his mathematical activity
• Waring’s problem
• The Goldbach problem
• Estimation of Weyl sums and the problem of the fractional parts of a polynomial

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