The St. Petersburg School of Number Theory.

Cover -- Title page -- Contents -- Foreword to the English edition -- Preface -- 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 -- Bibliography -- Back Cover.

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.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.