Number Theory

- Preface

- About the book and the conference

- List of participants

- Positive finiteness of number systems (S. Akiyama)

- On a distribution property of the resudual order of a (mod p) -IV (K. Chinen and L. Murata)

- Diagonalizing "bad" Hecke operators on spaces of cusp forms (Y.-J. Choie and W. Kohnen)

- On the Hilbert-Kamke and the Vinogradov problems in additive number

- theory (V. N. Chubarikov)

- The Goldbach-Vinogradov theorem in arithmetic progressions (Z. Cui)

- Densities of sets of primes related to decimal expansion of rational numbers (T. Hadano, Y. Kitaoka, T. Kubota and M. Nozaki)

- Spherical functions on p-adic homogeneous spaces (Y. Hironaka)

- On modular forms of weight (6n + 1)=5 satisfying a certain differential

- equation (M. Kaneko)

- Some aspects of the modular relation (S. Kanemitsu, Y. Tanigawa, H. Tsukada and M. Yoshimoto)

- Zeros of automorphic L-functions and noncyclic base change (J. Liu and Y. Ye)

- Analytic properties of multiple zeta-functions in several variables (K. Matsumoto)

- Cubic fields and Mordell curves (K. Miyake)

- Towards the reciprocity of quartic theta-Weyl sums, and beyond (Y.-N. Nakai)

- Explicit congruences for Euler polynomials (Z.-W. Sun)

- Square-free integers as sums of two squares (W. Zhai)

- Some applications of L-functions to the mean value of the Dedekind sums and Cochrane sums (W. Zhang)

- Index.