Hardcover ISBN:  9780821834572 
Product Code:  HMATH/26 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9781470438944 
Product Code:  HMATH/26.E 
List Price:  $120.00 
MAA Member Price:  $108.00 
AMS Member Price:  $96.00 
Hardcover ISBN:  9780821834572 
eBook: ISBN:  9781470438944 
Product Code:  HMATH/26.B 
List Price:  $245.00 $185.00 
MAA Member Price:  $220.50 $166.50 
AMS Member Price:  $196.00 $148.00 
Hardcover ISBN:  9780821834572 
Product Code:  HMATH/26 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9781470438944 
Product Code:  HMATH/26.E 
List Price:  $120.00 
MAA Member Price:  $108.00 
AMS Member Price:  $96.00 
Hardcover ISBN:  9780821834572 
eBook ISBN:  9781470438944 
Product Code:  HMATH/26.B 
List Price:  $245.00 $185.00 
MAA Member Price:  $220.50 $166.50 
AMS Member Price:  $196.00 $148.00 

Book DetailsHistory of MathematicsVolume: 26; 2005; 278 ppMSC: Primary 01; 11
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, Voronoĭ, 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.
ReadershipHistorians, graduate students, and research mathematicians interested in number theory and mathematical history.

Table of Contents

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


Additional Material

Reviews

(Readers) encounter a marvelous crosssection of topics from 19th and early 20th century number theory, very classical themes today, and certainly possessed of a classical beauty. ... It's a very interesting book on a number of counts.
MAA Reviews 
The book should be very interesting to a broad mathematical community, in particular mathematicians working in number theory as well as historians of mathematics concentrating on the development of mathematics in the second part of the 19th century.
EMS Newsletter


RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
 Book Details
 Table of Contents
 Additional Material
 Reviews
 Requests
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, Voronoĭ, 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.
Historians, graduate students, and research mathematicians interested in number theory and mathematical history.

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

(Readers) encounter a marvelous crosssection of topics from 19th and early 20th century number theory, very classical themes today, and certainly possessed of a classical beauty. ... It's a very interesting book on a number of counts.
MAA Reviews 
The book should be very interesting to a broad mathematical community, in particular mathematicians working in number theory as well as historians of mathematics concentrating on the development of mathematics in the second part of the 19th century.
EMS Newsletter