LEADER 02661nam 22004335a 450 001 9910153615203321 005 20091109150325.0 010 $a3-03719-538-X 024 70$a10.4171/038 035 $a(CKB)3710000000962489 035 $a(CH-001817-3)53-091109 035 $a(PPN)178155209 035 $a(EXLCZ)993710000000962489 100 $a20091109j20070404 fy 0 101 0 $aeng 135 $aurnn|mmmmamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAndrzej Schinzel, Selecta$b[electronic resource] $eVolume I: Diophantine Problems and Polynomials Volume II: Elementary, Analytic and Geometric Number Theory /$fHenryk Iwaniec, W?adys?aw Narkiewicz, Jerzy Urbanowicz 210 3 $aZuerich, Switzerland $cEuropean Mathematical Society Publishing House$d2007 215 $a1 online resource (1417 pages) 225 0 $aHeritage of European Mathematics (HEM) ;$x2523-5214 330 $aAndrzej 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 Sierpin?ski 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. 606 $aNumber theory$2bicssc 606 $aNumber theory$2msc 606 $aField theory and polynomials$2msc 615 07$aNumber theory 615 07$aNumber theory 615 07$aField theory and polynomials 686 $a11-xx$a12-xx$2msc 700 $aIwaniec$b Henryk$067493 702 $aNarkiewicz$b W?adys?aw 702 $aUrbanowicz$b Jerzy 801 0$bch0018173 906 $aBOOK 912 $a9910153615203321 996 $aAndrzej Schinzel, Selecta$92567445 997 $aUNINA