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NUMBER THEORY
Dreaming in Dreams
Proceedings of the 5th China-Japan Seminar
Higashi-Osaka, Japan, 27 - 31 August 2008
CONTENTS
FRONT MATTER
i
RESENT PROGRESS ON THE QUANTITATIVE ARITHMETIC OF DEL PEZZO SURFACES
TIM D. BROWNING
1
ADDITIVE REPRESENTATION IN THIN SEQUENCES, VIII: DIOPHANTINE INEQUALITIES IN REVIEW
JÖRG BRÜDERN
, KOICHI KAWADA
and TREVOR D. WOOLEY
20
RECENT PROGRESS ON DYNAMICS OF A SPECIAL ARITHMETIC FUNCTION
CHAOHUA JIA
80
SOME DIOPHANTINE PROBLEMS ARISING FROM THE ISOMORPHISM PROBLEM OF GENERIC POLYNOMIALS
AKINARI HOSHI
and KATSUYA MIYAKE
87
A STATISTICAL RELATION OF ROOTS OF A POLYNOMIAL IN DIFFERENT LOCAL FIELDS II
YOSHIYUKI KITAOKA
106
GENERALIZED MODULAR FUNCTIONS AND THEIR FOURIER COEFFICIENTS
WINFRIED KOHNBN
127
FUNCTIONAL RELATIONS FOR ZETA-FUNCTIONS OF ROOT SYSTEMS
YASUSHI KOMORI
, KOHJI MATSUMOTO
and HIROFUMI TSUMURA
135
A QUICK INTRODUCTION TO MAASS FORMS
JIANYA LIU
184
THE NUMBER OF NON-ZERO COEFFICIENTS OF A POLYNOMIAL-SOLVED AND UNSOLVED PROBLEMS
ANDRZEJ SCHINZEL
217
OPEN PROBLEMS ON EXPONENTIAL AND CHARACTER SUMS
IGOR E. SHPARLINSKI
222
Errata to: "A GENERAL MODULAR RELATION IN ANALYTIC NUMBER THEORY"
HARUO TSUKADA
243
BIBLIOGRAPHY ON DETERMINANTAL EXPRESSIONS OF RELATIVE CLASS NUMBERS OF IMAGINARY ABELIAN NUMBER FIELDS
KEN YAMAMURA
244
BACK MATTER
251
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World Scientific Publishing Co.
All rights reserved.