Number Theory

1. Positive Finiteness of Number Systems
Shigeki Akiyama

2. On a Distribution Property of the Residual Order of a (mod p)— IV
Koji Chinen, Leo Murata

3. Diagonalizing “Bad” Hecke Operators on Spaces of Cusp Forms
YoungJu Choie, Winfried Kohnen

4. On the Hilbert-Kamke and the Vinogradov Problems in Additive Number Theory
Vladimir N. Chubarikov

5. The Goldbach-Vinogradov Theorem in Arithmetic Progressions
Zhen Cui

6. Densities of Sets of Primes Related to Decimal Expansion of Rational Numbers
Toshihiro Hadano, Yoshiyuki Kitaoka, Tomio Kubota, Michihiro Nozaki

7. Spherical Functions on p-Adic Homogeneous Spaces
Yumiko Hironaka

8. On Modular forms of Weight (6n + 1)/5 Satisfying a Certain Differential Equation
Masanobu Kaneko

9. Some Aspects of the Modular Relation
Shigeru Kanemitsu, Yoshio Tanigawa, Haruo Tsukada, Masami Yoshimoto

10. Zeros of Automorphic L-Functions and Noncyclic Base Change
Jianya Liu, Yangbo Ye

11. Analytic Properties of Multiple Zeta-Functions in Several Variables
Kohji Matsumoto

12. Cubic Fields and Mordell Curves
Katsuya Miyake

13. Towards the Reciprocity of Quartic Theta-Weyl Sums, and Beyond
Yoshinobu Nakai

14. Explicit Congruences for Euler Polynomials
Zhi-Wei Sun

15. Square-Free Integers as Sums of Two Squares
Wenguang Zhai

16. Some Applications of L-Functions to the Mean Value of the Dedekind Sums and Cochrane Sums
Zhang Wenpeng

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Keywords: MATHEMATICS / General MAT000000