The series is aimed specifically at publishing peer-reviewed reviews and contributions presented at conferences, workshops, and international seminars as well as edited volumes commemorating and honoring significant achievements by mathematicians. This content covers various topics within pure and applied mathematics and provides up-to-date coverage of new developments, methods, and applications.

Each volume undergoes peer review using a double-blind reviewing process. Reviewers are asked to judge the validity, significance, and originality of the work. Series editor(s) assess comments and make necessary recommendations to respective book editors and contributing authors.

The series De Gruyter Proceedings in Mathematics is indexed in MathSciNet (Mathematical Reviews) and Scopus.

Editorial Board

Sayavur Bakhtiyarov, New Mexico Tech, Socorro, USA

Andrei Chtcheprov, North Carolina, USA

Vitaly Volpert, CNRS, University of Lyon, France

Editorial Office

Ranis N. Ibragimov, Ph.D

De Gruyter

121 High Street, Third Floor

Boston, MA 02110, USA

E-mail: ranis.ibragimov@degruyter.com

Autorentext

Professor Matti Jutila, Professor Tauno Metsänkylä, Department of Mathematics, University of Turku, Finland.

Klappentext

These Proceedings contain 22 refereed research and survey articles based on lectures given at the Turku Symposium on Number Theory in Memory of Kustaa Inkeri, held in Turku, Finland, from May 31 to June 4, 1999. The subject of the symposium was number theory in a broad sense with an emphasis on recent advances and modern methods. The topics covered in this volume include various questions in elementary number theory, new developments in classical Diophantine problems - in particular of the Fermat and Catalan type, the ABC-conjecture, arithmetic algebraic geometry, elliptic curves, Diophantine approximations, Abelian fields, exponential sums, sieve methods, box splines, the Riemann zeta-function and other Dirichlet series, and the spectral theory of automorphic functions with its arithmetical applications.