No.1523

2006/01/23〜2006/01/27

池田　保

Tamotsu Ikeda

目　次

1. On the basis problem for Siegel modular forms of squarefree level(Automorphic representations, L-functions, and periods)----------1

　　　　　　　Bocherer, Siegfried

　

2. PROOF OF DOUBLE SHUFFLE RELATIONS FOR $p$-ADIC MULTIPLE ZETA VALUES(Automorphic representations, L-functions, and periods)-------12

　　　　GRADUATE SCHOOL OF MATHEMATICS, NAGOYA UNIVERSITY　　　FURUSHO, HIDEKAZU

　

3. INTERSECTION NUMBERS OF HECKE CYCLES ON HILBERT MODULAR VARIETIES(Automorphic representations, L-functions, and periods)---------25

　　　　DEPARTMENT OF MATHEMATICS, UW-MADISON　　　GETZ, JAYCE

　

4. Real Analytic Eisenstein series of weight k and index m with respect to the Jacobi Group on SL$_2(\mathbb{Z})$(Automorphic representations, L-functions, and periods)---29

　　　　Dept. for the Promotion of General Education and Liberal Arts, Kyoto University　　　Hayashi, Yoshiki

　

5. Fourier-Jacobi expansion and Ikeda lifting(Automorphic representations, L-functions, and periods)--------------------------------44

　　　　ジーゲン大学　　　林田 秀一　(Hayashida, Shuichi)

　

6. ON THE RELATION BETWEEN THE FORMAL DEGREE AND THE ADJOINT LOCAL FACTOR OF A DISCRETE SERIES REPRESENTATION OF A REDUCTIVE GROUP OVER A LOCAL FIELD(Automorphic representations, L-functions, and periods)---53

　　　　DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCE, KYOTO UNIVERSITY / DEPARTMENT OF MATHEMATICS, GRADUATE SCHOOL OF SCIENCE, OSAKA CITY UNIVERSITY / DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCE, KYOTO UNIVERSITY　　　HIRAGA, KAORU / ICHINO, ATSUSHI / IKEDA, TAMOTSU

　

7. ON THE RESTRICTION OF AUTOMORPHIC FORMS ON AN ORTHOGONAL GROUP TO A SMALLER ORTHOGONAL GROUP AND THE GROSS-PRASAD CONJECTURE(Automorphic representations, L-functions, and periods)---63

　　　　DEPARTMENT OF MATHEMATICS, GRADUATE SCHOOL OF SCIENCE, OSAKA CITY UNIVERSITY / GRADUATE SCHOOL OF MATHEMATICS, KYOTO UNIVERSITY　　　ICHINO, ATSUSHI / IKEDA, TAMOTSU

　

8. CLASS ONE WHITTAKER FUNCTIONS ON REAL SEMISIMPLE LIE GROUPS(Automorphic representations, L-functions, and periods)---------------70

　　　　CHIBA INSTITUTE OF TECHNOLOGY　　　石井 卓　(ISHII, TAKU)

　

9. Hasse invariants for some unitary Shimura varieties and applications(Automorphic representations, L-functions, and periods)------79

　　　　京都大学大学院理学研究科数学教室　　　伊藤 哲史　(Ito, Tetsushi)

　

10. Subrepresentation Theorem for $p$-adic Symmetric Spaces(Automorphic representations, L-functions, and periods)------------------95

　　　　京都大学理学研究科 / 明石工業高等専門学校　　　加藤 信一 / 高野 啓児　(Kato, Shin-ichi / Takano, Keiji)

　

11. Borcherds products for higher level modular forms(Automorphic representations, L-functions, and periods)-----------------------109

　　　　京都大学大学院理学研究科　　　河合 悠介　(KAWAI, YUSUKE)

　

12. On the Hecke eigenvalues of Siegel cusp forms of genus 2(Automorphic representations, L-functions, and periods)----------------115

　　　　Universitat Heidelberg, Mathematisches Institut　　　Kohnen, Winfried

　

13. CAP forms on $U(2,2)$II. Cusp forms(Automorphic representations, L-functions, and periods)-------------------------------------117

　　　　Graduate School of Mathematics, Kyushu University / Dept of Edu., Fukuoka University of Education　　　KONNO, Takuya / KONNO, Kazuko

　

14. An explicit arithmetic formula for the Fourier coefficients of Siegel-Eisenstein series of degree two with square free odd level(Automorphic representations, L-functions, and periods)---131

　　　　Department of Mathematics, Keio University　　　Mizuno, Yoshinori

　

15. Commutation relation of Hecke operators for Arakawa lifting(Automorphic representations, L-functions, and periods)-------------148

　　　　Department of Mathematical Sciences, Faculty of Science, Kyoto Sangyo University / Osaka City University, Advanced Mathematical Institute　　　Murase, Atsushi / Narita, Hiro-aki

　

16. GELFAND PAIRS AND BOUNDS FOR VARIOUS FOURIER COEFFICIENTS OF AUTOMORPHIC FUNCTIONS(Automorphic representations, L-functions, and periods)---158

　　　　BAR ILAN UNIVERSITY　　　RENZNIKOV, ANDRE

　

17. Memorandum on Dimension Formulas for Spaces of Jacobi Forms(Automorphic representations, L-functions, and periods)-------------172

　　　　Universitat Siegen, Fachbereich Mathematik　　　Skoruppa, Nils-Peter

　

18. Rankin-Selberg $L$ 関数, 及び symmetric square $L$ 関数の零点について(保型表現・L函数・周期の研究)-----------------------------184

　　　　名古屋大学大学院多元数理科学研究科　　　鈴木 正俊　(Suzuki, Masatosi)

　

19. On the zeta function for the space of binary cubic forms and distributions of discriminants of cubic ring extensions(Automorphic representations, L-functions, and periods)---194

　　　　東京大学大学院数理科学研究科　　　谷口 隆　(Taniguchi, Takashi)

　

20. A certain Galois action on modular forms with respect to any unitary group and the arithmeticity of Petersson inner products(Automorphic representations, L-functions, and periods)---204

　　　　GRADUATE SCHOOL OF MATHEMATICS, NAGOYA UNIVERSITY　　　YAMAUCHI, Atsuo