The St. Petersburg School of Number Theory

Volume 26

B.N. Delone - Collection History of Mathematics

296 pages, parution le 22/09/2005

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Résumé

For over two centuries, the work of the St. Petersburg mathematicians in number theory has constituted a glorious contribution to mathematics. The Russian book, The St. Petersburg School of Number Theory, is about the life and work of prominent members of this school, such as Chebyshev, Korkin, Zolotarev, Markov, Voronoi, and Vinogradov. These mathematicians are indeed a very distinguished group. Their work in number theory is of the highest quality and continues to have lasting significance.

This English translation 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 features the author's original terminology and notation 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. It is particularly suitable for graduate students and researchers interested in number theory.

Copublished with the London Mathematical Society beginning with Volume 4. Members of the LMS may order directly from the AMS at the AMS member price. The LMS is registered with the Charity Commissioners.

Readership : Historians, graduate students, and research mathematicians interested in number theory and mathematical history.

Sommaire

Pafnutii L'vovich Chebyshev (1821-1894)
- Pafnutii 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
Andrei Andreevich Markov (1856-1922)
- Andrei Andreevich Markov
- On binary quadratic forms of positive determinant
Georgii Fedoseevich Voronoi (1868-1908)
- Georgii Fedoseevich Voronoi
- Voronoi's dissertations on algebraic numbers of the third degree
- Voronoi's memoir of 1903: "On a problem from the theory of asymptotic functions"
- Voronoi'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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Caractéristiques techniques

	PAPIER
Éditeur(s)	American Mathematical Society (AMS)
Auteur(s)	B.N. Delone
Collection	History of Mathematics
Parution	22/09/2005
Nb. de pages	296
Format	18,5 x 26
Couverture	Relié
Poids	730g
Intérieur	Noir et Blanc
EAN13	9780821834572
ISBN13	978-0-8218-3457-2