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)
MathSciNet review: MR2155903
MSC: Primary 11-03; Secondary 01A55, 01A60, 01A72
For over two centuries, the work of St. Petersburg mathematicians in number theory has constituted a glorious contribution to mathematics. The book The St. Petersburg School of Number Theory is about the life and work of six prominent members of this school, Chebyshev, Korkin, Zolotarev, Markov, Voronoibreve, and Vinogradov. The work of these mathematicians in number theory is indeed of the highest quality and continues to have lasting significance.
The book acquaints the reader with the most important works of these six eminent members of the St. Petersburg school. A short biography is given for each of them, followed by an exposition of some of his most significant contributions. Each contribution is presented as a summary of the author's original work and is followed by commentary. Certain works receive relatively complete expositions, while others are dealt with more briefly.
With a Foreword written for the English edition, this volume will appeal to a broad mathematical audience, including mathematical historians and mathematicians working in number theory.
Historians, graduate students, and research mathematicians interested in number theory and mathematical history.
Table of Contents
Pafnutiĭ L’vovich Chebyshev (1821–1894)
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)
Andreĭ Andreevich Markov (1856–1922)
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