No.837
数論の学際的研究
 
1992/11/10〜1992/11/13
金光 滋
Shigeru Kanemitsu
 
目 次
 
1. 楕円関数論から生ずるある種の級数の$\zeta$(3)への漸近式(数論の学際的研究)----------------------------------------------------------1
    新潟大学教養学部   秋山 茂樹 (Akiyama, Shigeki)
 
2. 3次のGauss和の偏角を近似する初等的な積について(数論の学際的研究)-----------------------------------------------------------------14
    名古屋大学理学部   伊藤 博 (Ito, Hiroshi)
 
3. On the order of growth of the Kloosterman zeta function--------------------------------------------------------------------------25
    Kyushu Univ.   吉田 英治 (Yoshida, Eiji)
 
4. Discrepancy inequalities of Erdos-Turan and of Le Veque--------------------------------------------------------------------------35
    Department of Mathematics, Faculty of Education, Tottori University / Department of Mathematics, Faculty of Education, Yamagata University   Goto, Kazuo / Kano, Takeshi
 
5. A BRIEF REPORT ON THE ZEROS OF A CLASS OF GENERALISED DIRICHLET SERIES-----------------------------------------------------------48
    SCHOOL OF MATHEMATICS, TATA INSTITUTE OF FUNDAMENTAL RESEARCH   RAMACHANDRA, K.
 
6. On the mean square of the product of the zeta-and $L$-functions------------------------------------------------------------------57
    Department of Mathematics, College of Science and Technology, Nihon University   Motohashi, Yoichi
 
7. On arithmetical functions whose generating functions are of the form $\zeta (s) \zeta^\alpha (s + 1)f(s + 1)$--------------------63
    School of Mathematics, Tata Institute of Fundamental Research / Section de Mathematiques, Universite de Geneve   Balakrishnan, U. / Petermann, Y. -F. S.
 
8. Asymptotic expansions of the mean values of Dirichlet $L$-functions IV-----------------------------------------------------------72
    Department of Mathematics, Faculty of Science, Kagoshima University   桂田 昌紀 (KATSURADA, Masanori)
 
9. On the Generalized Divisor Problem-----------------------------------------------------------------------------------------------84
       中屋 秀樹 (NAKAYA, HIDEKI)
 
10. On the representation of numbers as the sum of a prime and a k-th power.--------------------------------------------------------92
    筑波大学大学院   川田 浩一 (KAWADA, Koichi)
 
11. Integer Points on Algebraic Curves---------------------------------------------------------------------------------------------101
    東京工業大学理学部   平田 典子 (Hirata-Kohno, N.)
 
12. Linear independence results on values related to higher dimensional continued fractions----------------------------------------112
    International Junior College   TAMURA, Jun-ichi
 
13. mod p$^2$ で p乗剰余になっている数の分布について(数論の学際的研究)-------------------------------------------------------------122
    明治学院大学一般教育部   村田 玲音 (MURATA, Leo)
 
14. On Certain Number Fields with Small Regulators---------------------------------------------------------------------------------130
    東京都立大学理学部   中村 憲 (Nakamula, Ken)
 
15. On a classification of transcendental numbers by Sprindzuk---------------------------------------------------------------------142
    群馬大学教養部   天羽 雅昭 (Amou, Masaaki)
 
16. 帯領域$\frac{1}{2} < \sigma < 1$ におけるRiemannゼータ関数の二乗平均(数論の学際的研究)-----------------------------------------150
    岩手大学教育学部   松本 耕二 (Matsumoto, Kohji)
 
17. Multiple Sine Functions--------------------------------------------------------------------------------------------------------164
    東京大学数理科学研究科   黒川 信重 (Kurokawa, Nobushige)
 
18. On the Waring Type Problem for Integral Symmetric Matrices---------------------------------------------------------------------178
    富山大学   江上 繁樹 (EGAMI, Shigeki)
 
19. $\pi$ と $\pi^2$ の無理数度の改良(数論の学際的研究)----------------------------------------------------------------------------185
    京都大学総合人間学部   畑 政義 (Hata, Masayoshi)