Rreface Recent progress on quantitative arithmetic of del Pezzo surfaces Additive representation in thin sequences�� VIII:Diophantine inequalities in review Recent progress on dynamics of a special arithmetic function Some Diophantine problems arising from the isomorphism problem of generic polynomials A statistical relation of roots of a polynomial in different local fields II Generalized modular functions and their Fourier coefficients Functional relations for zeta-functions of root systems A quick introduction to Maass forms The number of non-zero cofficients of a polynomial-solved and unsolved problems Open problems on exponential and character sums Errata to"A general modular relation in analytic number theory" Bibliography on determinantal expressions of relative class numbers of imaginary abelian number fields Author Index