No.1659

2009/01/19〜2009/01/23

石川　佳弘

Yoshi-Hiro Ishikawa

目　次

1. ON THE COHOMOLOGY OF CONGRUENCE SUBGROUPS OF $\mathrm{SL}_4(\mathbb{Z})$ (Automorphic representations, automorphic $L$-functions and arithmetic)---1

　　　　DEPARTMENT OF MATHEMATICS AND STATISTICS, UNIVERSITY OF MASSACHUSETTS　　　GUNNELLS,PAUL E.

　

2. Non-tempered automorphic representations of inner forms of $Sp(4)$ (Automorphic representations, automorphic $L$-functions and arithmetic)---14

　　　　九州大学数理学研究院　　　安田 貴徳　(Yasuda,Takanori)

　

3. Paramodular form on $GSp(2, \mathbb{A})$ (Automorphic representations, automorphic $L$-functions and arithmetic)-----------------27

　　　　京都大学理学部　　　岡崎 武生　(OKAZAKI,TAKEO)

　

4. SELMER GROUPS FOR TENSOR PRODUCT $\mathsf{L}$-FUNCTIONS (Automorphic representations, automorphic $L$-functions and arithmetic)---37

　　　　UNIVERSITY OF SHEFFIELD, DEPARTMENT OF PURE MATHEMATICS　　　DUMMIGAN,NEIL

　

5. Explicit formulas for the twisted Koecher-Maass series for the Saito-Kurokawa lift and their applications (Automorphic representations, automorphic $L$-functions and arithmetic)---47

　　　　室蘭工業大学工学部 / 徳島大学工学部　　　桂田 英典 / 水野 義紀　(Katsurada,Hidenori / Mizuno,Yoshinori)

　

6. APPLICATIONS OF AN ARITHMETIC TRACE FORMULA (Automorphic representations, automorphic $L$-functions and arithmetic)--------------59

　　　　MAX-PLANCK INSTITUT FUR MATHEMATIK　　　HEIM,BERNHARD

　

7. Ikeda's conjecture on the period of the Ikeda lift (Automorphic representations, automorphic $L$-functions and arithmetic)-------68

　　　　室蘭工業大学 / 北海道大学理学研究院　　　桂田 英典 / 河村 尚明　(KATSURADA,Hidenori / KAWAMURA,Hisa-aki)

　

8. Stark's units, CM-periods and multiple gamma functions (Automorphic representations, automorphic $L$-functions and arithmetic)---82

　　　　京都大学理学研究科　　　加塩 朋和　(Kashio,Tomokazu)

　

9. LIMIT PERIOD FORMULA FOR SPECIAL CYCLES ON REAL HYPERBOLIC SPACES (Automorphic representations, automorphic $L$-functions and arithmetic)---96

　　　　上智大学理工学部　　　都築 正男　(TSUZUKI,MASAO)

　

10. Some asymptotic expansions of the Eisenstein series (Automorphic representations, automorphic $L$-functions and arithmetic)----106

　　　　日本大学工学部　　　野田 工　(Noda,Takumi)

　

11. Functional independence and randomness of $L$-functions (Automorphic representations, automorphic $L$-functions and arithmetic)---116

　　　　成蹊大学　　　名越 弘文　(Nagoshi,Hirofumi)

　

12. ON SIEGEL-EISENSTEIN SERIES OF DEGREE 2 FOR LOW WEIGHTS (Automorphic representations, automorphic $L$-functions and arithmetic)---127

　　　　千葉工業大学工学部教育センター　　　軍司 圭一　(GUNJI,KEIICHI)

　

13. Spherical functions on $U(n, n)/(U(n)×U(n))$ and hermitian Siegel series (Automorphic representations, automorphic $L$-functions and arithmetic)---141

　　　　早稲田大学教育・総合科学学術院　　　広中 由美子　(Hironaka,Yumiko)

　

14. On the principal series representation of $SU(2,2)$ (Automorphic representations, automorphic $L$-functions and arithmetic)----157

　　　　東京大学数理科学研究科　　　Bayarmagnai,G.

　

15. Genelarized Whittaker functions of degenerate principal series (Automorphic representations, automorphic $L$-functions and arithmetic)---166

　　　　東京大学数理科学研究科　　　廣惠 一希　(Hiroe,Kazuki)

　

16. SMOOTH SPACES OF DISCRETE SERIES REPRESENTATIONS AND THE HANKEL TRANSFORM (Automorphic representations, automorphic $L$-functions and arithmetic)---176

　　　　DEPARTMENT OF MATHEMATICS, TECHNION　　　BARUCH,EHUD MOSHE

　

17. Formal degrees of supercuspidal representations of ramified $U(3)$ (Automorphic representations, automorphic $L$-functions and arithmetic)---180

　　　　京都大学理学部　　　宮内 通孝　(Miyauchi,Michitaka)

　

18. Self-dual Bushnell-Kutzko types and discrete series of $p$-adic classical groups (Automorphic representations, automorphic $L$-functions and arithmetic)---192

　　　　尾道大学経済情報学部　　　刈山 和俊　(Kariyama,Kazutoshi)

　

19. On Siegel modular forms : a report on joint work with S. Nagaoka (Automorphic representations, automorphic $L$-functions and arithmetic)---204

　　　　Institut fur Mathematik, Universitat Mannheim　　　Bocherer,Siegfried

　

20. How many Fourier coefficients determine a holomorphic modular form? (Automorphic representations, automorphic $L$-functions and arithmetic)---216

　　　　京都大学理学研究科　　　山名 俊介　(Yamana,Shunsuke)

　

21. 2元3次形式の空間に付随するゼータ関数の間の関係式 (保型表現と保型$L$-関数の数論的研究)------------------------------------------223

　　　　神戸大学理学研究科　　　谷口 隆　(Taniguchi,Takashi)

　

22. On Representations of $\widetilde{SL}_2(\mathbb{Z}/N\mathbb{Z})$ and Newforms of half-integral weight (Automorphic representations, automorphic $L$-functions and arithmetic)---231

　　　　奈良女子大学理学部　　　上田 勝　(Ueda,Masaru)