Based on the successful 7th China–Japan seminar on number theory conducted in Kyushu University, this volume is a compilation of survey and semi-survey type of papers by the participants of the seminar. The topics covered range from traditional analytic number theory to elliptic curves and universality. This volume contains new developments in the field of number theory from recent years and it provides suitable problems for possible new research at a level which is not unattainable. Timely surveys will be beneficial to a new generation of researchers as a source of information and these provide a glimpse at the state-of-the-art affairs in the fields of their research interests.Contents:On Modular Relations (Tomihiro Arai, Kalyan Chakraborty and Shigeru Kanemitsu)Figurate Primes and Hilbert's 8th Problem (Tianxin Cai, Yong Zhang and Zhongyan Shen)Statistical Distribution of Roots of a Polynomial Modulo Prime Powers (Yoshiyuki Kitaoka)A Survey on the Theory of Universality for Zeta and L-Functions (Kohji Matsumoto)Complex Multiplication in the Sense of Abel (Katsuya Miyake)Problems on Combinatorial Properties of Primes (Zhi-Wei Sun)Readership: Graduate students and researchers in number theory.Key Features:Includes some new topics of interest to complement the previous three volumes in the books seriesContains well-written and informative surveys in several fields in number theoryEach paper contains some new problems for research which a beginner researcher can try onAs a tradition, the editors devoted efforts to make the volume as readable as possible.