# Andrzej Schinzel, Selecta

Volume II. Elementary, Analytic and Geometric Number Theory

## Editors

### Henryk Iwaniec

Rutgers University, USA### Władysław Narkiewicz

University of Wrocław, Poland### Jerzy Urbanowicz

IM PAN, Warsaw, Poland

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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.

pp. i–iv Frontmatterpp. v–x Contentsp. 859 Part G Arithmetic functionspp. 861–897 Arithmetic functionsp. 899 Part H Divisibility and congruencespp. 901–1029 Divisibility and congruencesp. 1031 Part I Primitive divisorspp. 1033–1101 Primitive divisorsp. 1103 Part J Prime numberspp. 1105–1191 Prime numbersp. 1193 Part K Analytic number theorypp. 1195–1243 Analytic number theoryp. 1245 Part L Geometry of numberspp. 1247–1302 Geometry of numbersp. 1303 Part M Other paperspp. 1305–1363 Other papersp. 1365 Unsolved problems and unproved conjecturespp. 1367–1374 Unsolved problems and unproved conjecturesp. 1375 Publication list of Andrzej Schinzelpp. 1377–1393 Publication list of Andrzej Schinzel