The St. Petersburg School of Number TheoryAmerican Mathematical Soc., 2005 - 278 pàgines 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, and 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. Information for our distributors: Copublished with the London Mathematical Society. Members of the LMS may order directly from the AMS at the AMS member price. The LMS is registered with the Charity Commissioners. |
Continguts
On binary quadratic forms of positive determinant | |
Georgiĭ Fedoseevich Voronoĭ 18681908 | |
Georgiĭ Fedoseevich Voronoĭ | |
Voronoĭs dissertations on algebraic numbers of the third degree | |
On a problem from the theory of asymptotic functions | |
Voronoĭs memoirs on quadratic forms | |
Ivan Matveevich Vinogradov 18911983 | |
Ivan Matveevich Vinogradov | |
Aleksandr Nikolaevich Korkin 18371908 | |
Aleksandr Nikolaevich Korkin | |
The articles of Korkin and Zolotarev on the minima of positive quadratic forms | |
Egor Ivanovich Zolotarev 18471878 | |
Egor Ivanovich Zolotarev | |
Zolotarevs memoirs on the theory of ideal numbers | |
Andreĭ Andreevich Markov 18561922 | |
Andreĭ Andreevich Markov | |
Works of Vinogradov from the first period of his mathematical activity | |
Warings problem | |
The Goldbach problem | |
Estimation of Weyl sums and the problem of the fractional parts of a polynomial | |
Bibliography | |
Back Cover | |