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RIMS Kôkyûroku
No.2100
保型形式の解析的・数論的研究
Analytic and Arithmetic Theory of Automorphic Forms
RIMS 共同研究(公開型)
 
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