RIMS Kôkyûroku

No.2100

2018/01/15〜2018/01/19

水野　義紀

Yoshinori Mizuno

目　次

1. ON $p$-ADIC FAMILIES OF THE $D$-TH SAITO-KUROKAWA LIFTS (Analytic and Arithmetic Theory of Automorphic Forms)---------------------1

　　　　京都産業大学附属高等学校　　　槇山 賢治　(Makiyama,Kenji)

　

2. ON LINEAR RELATIONS BETWEEN L-VALUES AND ARITHMETIC FUNCTIONS (Analytic and Arithmetic Theory of Automorphic Forms)--------------14

　　　　School of Mathematical Sciences, Sichuan Normal University 　　　Su,Ren-He

　

3. Diophantine Frobenius problems from semigroup's series and identities for zeta functions (Analytic and Arithmetic Theory of Automorphic Forms)---21

　　　　School of Mathematics and Statistics, Wuhan University　　　小松 尚夫　(Komatsu,Takao)

　

4. HECKE-SIEGEL TYPE THRESHOLD FOR SQUARE-FREE FOURIER COEFFICIENTS : AN IMPROVEMENT (Analytic and Arithmetic Theory of Automorphic Forms)---35

　　　　Department of Mathematics, Indian Institute of Science / Department of Mathematics, Indian Institute of Science　　　Anamby,Pramath / Das,Soumya

　

5. THETA SERIES CONSTRUCTED FROM INVARIANT $E_{8}$-HARMONIC POLYNOMIALS (Analytic and Arithmetic Theory of Automorphic Forms) ------43

　　　　大阪大学理学研究科数学専攻　　　森山 知則　(Moriyama,Tomonori)

　

6. Differential operators on modular forms (mod $p$) (Analytic and Arithmetic Theory of Automorphic Forms)--------------------------52

　　　　School of Mathematics and Statistics, University of Melbourne　　　Ghitza,Alexandru

　

7. On mixed weight Hilbert modular forms and their structure theorem (Analytic and Arithmetic Theory of Automorphic Forms)----------65

　　　　東京理科大学理工学部　　　青木 宏樹　(Aoki,Hiroki)

　

8. REDUCED UNIT GROUPS IN TOTALLY DEFINITE QUATERNION ALGEBRAS OVER REAL QUADRATIC FIELDS (Analytic and Arithmetic Theory of Automorphic Forms)---80

　　　　School of Mathematics and Statistics, Wuhan University / Collaborative Innovation Centre of Mathematics, School of Mathematics and Statistics, Wuhan University・Hubei Key Laboratory of Computational Science (Wuhan University) / Institute of Mathematics, Academia Sinica・National Center for Theoretical Sciences 　　　Li,Qun / Xue,Jiangwei / Yu,Chia-Fu

　

9. $\textrm{GL}_{2}$ 上のASAI表現に付随するEPSILON因子について (保型形式の解析的・数論的研究)---------------------------------------94

　　　　理化学研究所・慶應義塾大学　　　石川 勲　(Ishikawa,Isao)

　

10. NEWFORMS OF HALF-INTEGRAL WEIGHT (Analytic and Arithmetic Theory of Automorphic Forms)-----------------------------------------109

　　　　Faculty of Science and Technology, Tokyo University of Science　　　Purkait Soma

　

11. Spherical functions on the space of $p$-adic quaternion hermitian matrices (Analytic and Arithmetic Theory of Automorphic Forms) ---121

　　　　早稲田大学　　　広中 由美子　(Hironaka,Yumiko)

　

12. ARITHMETIC DEGREES OF SPECIAL CYCLES AND DERIVATIVES OF SIEGEL EISENSTEIN SERIES (Analytic and Arithmetic Theory of Automorphic Forms)---134

　　　　Fachbereich Mathematik, Technische Universitat Darmstadt　　　Bruinier,Jan Hendrik

　

13. ON THE GROSS-KEATING INVARIANTS OF A HERMITIAN FORM OVER A NON-ARCHIMEDEAN LOCAL FIELD (Analytic and Arithmetic Theory of Automorphic Forms)---141

　　　　京都大学 / 室蘭工業大学　　　池田 保 / 桂田 英典　(Ikeda,Tamotsu / Katsurada,Hidenori)

　

14. Hyperbolic Eisenstein Series on $n$-dimensional Hyperbolic Spaces (Analytic and Arithmetic Theory of Automorphic Forms)--------151

　　　　九州大学　　　入江 洋右　(Irie,Yosuke)

　

15. On the computation of ramified Siegel series of degree 3 (Analytic and Arithmetic Theory of Automorphic Forms)-----------------165

　　　　千葉工業大学　　　軍司 圭一　(Gunji,Keiichi)

　

16. An explicit construction of non-tempered cusp forms on $O(1,8n+1)$ (Analytic and Arithmetic Theory of Automorphic Forms) ------179

　　　　Fachbereich Mathematik, Technische Universitat Darmstadt / 早稲田大学 / Department of Mathematics, University of Oklahoma　　　Li Yingkun / 成田 宏秋 / Pitale Ameya　(Li,Yingkun / Narita,Hiro-aki / Pitale,Ameya)

　

17. Paramodularity (Analytic and Arithmetic Theory of Automorphic Forms) ----------------------------------------------------------187

　　　　Fordham U.　　　Poor,Cris

　

18. Siegel modular forms of middle parahoric subgroups and Ihara lift (Analytic and Arithmetic Theory of Automorphic Forms)--------202

　　　　大阪大学　　　伊吹山 知義　(Ibukiyama,Tomoyoshi)

　

19. Arithmetic properties of vector-valued Siegel modular forms (Analytic and Arithmetic Theory of Automorphic Forms)--------------214

　　　　U. Mannheim　　　Bocherer,Siegfried

　

20. POWERS OF THE DEDEKIND ETA FUNCTION AND HURWITZ POLYNOMIALS (Analytic and Arithmetic Theory of Automorphic Forms)--------------222

　　　　German University of Technology in Oman　　　Heim,Bernhard