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Andrzej Schinzel, Selecta
Heritage of European Mathematics

Andrzej Schinzel, Selecta

Volume I: Diophantine Problems and Polynomials
Volume II: Elementary, Analytic and Geometric Number Theory

Henryk Iwaniec (Rutgers University, USA)
Władysław Narkiewicz (University of Wrocław, Poland)
Jerzy Urbanowicz (IM PAN, Warsaw, Poland)

ISBN print 978-3-03719-038-8, ISBN online 978-3-03719-538-3
DOI 10.4171/038
April 2007, 1417 pages, hardcover, 17.0 x 24.0 cm.
168.00 Euro

Andrzej Schinzel, born in 1937, is a leading number theorist whose work has 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.

These Selecta contain 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. Volume II 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.

Further Information

Andrzej Schinzel (Photo)

Review in Zentralblatt MATH 1115.11002

Review in MR 2383194 (2009a:11004a) and MR2383195 (2009a:11004b)