Number Theory: Dreaming in Dreams - Proceedings of the 5th China-Japan Seminar (Series on Number Theory and Its Applications, 6)

ISBN 10: 9814289841 / ISBN 13: 9789814289849

Edité par World Scientific Pub Co Inc, 2009

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Détails bibliographiques

• Titre: Number Theory: Dreaming in Dreams - Proceedings of the 5th China-Japan Seminar (Series on Number Theory and Its Applications, 6)
• Éditeur: World Scientific Pub Co Inc
• Date de parution: 2009
• Langue: anglais
• ISBN à 10 chiffres: 9814289841
• ISBN à 13 chiffres: 9789814289849
• Reliure: hardcover
• État de l'article: Very Good

A propos de ce titre

Synopsis

This volume aims at collecting survey papers which give broad and enlightening perspectives of various aspects of number theory. Kitaokas paper is a continuation of his earlier paper published in the last proceedings and pushes the research forward. Brownings paper introduces a new direction of research on analytic number theory quantitative theory of some surfaces and Bruedern et als paper details state-of-the-art affairs of additive number theory. There are two papers on modular forms Kohnens paper describes generalized modular forms (GMF) which has some applications in conformal field theory, while Lius paper is very useful for readers who want to have a quick introduction to Maass forms and some analytic-number-theoretic problems related to them. Matsumoto et als paper gives a very thorough survey on functional relations of root system zeta-functions, HoshiMiyakes paper is a continuation of Miyakes long and fruitful research on generic polynomials and gives rise to related Diophantine problems, and Jias paper surveys some dynamical aspects of a special arithmetic function connected with the distribution of prime numbers. There are two papers of collections of problems by Shparlinski on exponential and character sums and Schinzel on polynomials which will serve as an aid for finding suitable research problems. Yamamuras paper is a complete bibliography on determinant expressions for a certain class number and will be useful to researchers. Thus the book gives a good-balance of classical and modern aspects in number theory and will be useful to researchers including enthusiastic graduate students.