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Andrzej Schinzel, Selecta
Edited by: Henryk Iwaniec, Rutgers University, Piscataway, NJ, Wladyslaw Narkiewicz, University of Wroclaw, Poland, and Jerzy Urbanowicz, IM Pan, Warsaw, Poland
A publication of the European Mathematical Society.
cover
Heritage of European Mathematics
2007; 1417 pp; hardcover
Volume: 1
ISBN-10: 3-03719-038-8
ISBN-13: 978-3-03719-038-8
List Price: US$218
Member Price: US$174.40
Order Code: EMSHEM/1
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Andrzej Schinzel, born in 1937, is a leading number theorist whose work has had a lasting impact on modern mathematics. He is the author of over 200 research articles in various branches of arithmetics, including elementary, analytic, and algebraic number theory. He has also been, for nearly 40 years, the editor of Acta Arithmetica, the first international journal devoted exclusively to number theory.

Selecta, a two-volume set, contains Schinzel's most important articles published between 1955 and 2006. The arrangement is by topic, with each major category introduced by an expert's comment. Many of the hundred selected papers deal with arithmetical and algebraic properties of polynomials in one or several variables, but there are also articles on Euler's totient function, the favorite subject of Schinzel's early research, on prime numbers (including the famous paper with Sierpiński on the Hypothesis "H"), algebraic number theory, diophantine equations, analytical number theory and geometry of numbers. Selecta concludes with some papers from outside number theory, as well as a list of unsolved problems and unproved conjectures, taken from the work of Schinzel.

A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.

Readership

Graduate students and research mathematicians interested in number theory.

Table of Contents

Volume 1
  • Diophantine equations and integral forms
  • Continued fractions
  • Algebraic number theory
  • Polynomials in one variable
  • Polynomials in several variables
  • Hilbert's irreducibility theorem
Volume 2
  • Arithmetic functions
  • Divisibility and congruences
  • Primitive divisors
  • Prime numbers
  • Analytic number theory
  • Geometry of numbers
  • Other papers
  • Unsolved problems and unproved conjectures
  • Publication list of Andrzej Schinzel
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