Number Theory : : Proceedings of the Turku Symposium on Number Theory in Memory of Kustaa Inkeri, May 31-June 4, 1999 / / ed. by Matti Jutila, Tauno Metsänkylä.

• Superior document: Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
• MitwirkendeR: Amou, Masaaki,; Bugeaud, Yann,; Bundschuh, Peter,; Dilcher, Karl,; Frey, Gerhard,; Greaves, George,; Haller, Kirk,; Haukkanen, Peniti,; Helou, Charles,; Huxley, Martin,; Ivić, Aleksandar,; Jackson, Terence,; Jutila, Matti,; Katsurada, Masanori,; Kolesnik, Grigori,; Laurinčikas, Antanas,; Matala-aho, Tapani,; Matsumoto, Kohji,; McDaniel, Wayne L.,; Metsänkylä, Tauno,; Meurman, Tom,; Mignotte, Maurice,; Motohashi, Yoichi,; Ribenboim, Paulo,; Sands, Jonathan W.,; Strazdins, Indulis,; Vaananen, Keijo,; van der Poorten, Alfred J.,
• HerausgeberIn: Jutila, Matti,; Metsänkylä, Tauno,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2014]; ©2001
• Year of Publication: 2014
• Edition: Reprint 2013
• Language: English
• Series: De Gruyter Proceedings in Mathematics
• Physical Description: 1 online resource (328 p.) :; 1 Frontispiz

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.

Table of Contents

Frontmatter -- Preface -- Table of Contents -- On the life and work of Kustaa Inkeri -- On the values of certain q-hypergeometric series -- On the Diophantine equation -- Arithmetical properties of the solutions of certain functional equations -- Multiple zeta sums via box splines -- Galois representations attached to elliptic curves and diophantine problems -- One-sided sifting density hypotheses in Selberg's sieve -- On characterizations of completely multiplicative arithmetical functions -- A note on the power residue symbol -- Exponential sums with a large second derivative -- Some mean value results for the Riemann zeta-function -- Direct proofs of some of Euler's results -- The fourth moment of central values of Hecke series -- The universality of Dirichlet series attached to finite Abelian groups -- An irrationality criterion for p-adic binomial series -- The mean values and the universality of Rankin-Selberg L-functions -- On the binary additive divisor problem -- Catalan's equation just before 2000 -- New analytic problems over imaginary quadratic number fields -- On number theory and Kustaa Inkeri -- On Lucas sequence terms of the form kx2 -- Stark's question and Popescu's conjecture for abelian L-functions -- Partial Pell numbers -- List of participants