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RIMS Kôkyûroku No.2326

保型形式・保型表現の数論的側面
Arithmetic aspects of automorphic forms and automorphic representations

RIMS 共同研究（公開型）
2025/01/20～2025/01/24

並川　健一 ( Kenichi Namikawa )

1. AN ASYMPTOTIC FORMULA OF SPECTRAL AVERAGE OF CENTRAL $L$-VALUES ON GSp${_2}$ FOR SQUARE-FREE LEVELS 久家聖二 ( Seiji Kuga )上智大学
2. ARCHIMEDEAN WHITTAKER FUNCTIONS ON GL$_n$ VIA THETA LIFTING YAO CHENGTamkang U.
3. CONCRETE CONSTRUCTIONS OF AUTOMORPHIC REPRESENTATIONS AND CENTRAL VALUES OF L-FUNCTIONS BIN XUSichuan U.
4. CONVERGENCE OF FORMAL SERIES OF JACOBI FORMS CRIS POORFordham U.
5. On mod $p^m$ singular vector-valued modular forms Siegfried B\"{o}chererU. Mannheim Toshiyuki KikutaFukuoka Inst. Tech.
6. The $p$-adic constant for mock modular forms associated to CM forms 田島凌太 ( Ryota Tajima )九州大学
7. ON CRITICAL VALUES OF THE TENSOR PRODUCT $L$-FUNCTIONS FOR GSp${_4}$ × GSp${_4}$ SHIH-YU CHENNatl. Tsing Hua U.
8. TOWARDS THE $p$-ADIC DERIVED HECKE ALGEBRA FOR WEIGHT ONE FORMS ROBIN ZHANGMIT
9. The $\mathfrak{M}$$_H$($G$)-Conjecture and Mazur's conjecture for Abelian Varieties over Global Function Fields Yukako Kezuka金沢大学
10. HIDA FAMILIES OF YOSHIDA LIFTS AND THE RANKIN-SELBERG CONVOLUTION MING-LUN HSIEHNatl. Taiwan U.
11. ARCHIMEDEAN ZETA INTEGRALS FOR FURUSAWA'S PULLBACK FORMULA ZHENG LIUU. California Santa Barbara
12. NON-VANISHING OF $p$-REFINED FRIEDBERG-JACQUET INTEGRALS CHRIS WILLIAMSU. Nottingham
13. NON-REDUCTIVE CYCLES AND TWISTED ARITHMETIC TRANSFERS FOR SHIMURA CURVES ZHIYU ZHANGStanford U.
14. ANTICYCLOTOMIC EULER SYSTEMS FOR CM FIELDS YU-SHENG LEEU. Michigan
15. Local Intertwining Relations Hiraku AtobeKyoto U.
16. A FORMULA OF PERRIN-RIOU AND CHARACTERISTIC POWER SERIES OF SIGNED SELMER GROUPS, II CHRISTINE ALARU. California Santa Barbara FRANCESC CASTELLAU. California Santa Barbara
17. NON-VANISHING OF EISENSTEIN SERIES MOD $p$ SHILIN LAIU. Texas at Austin
18. Koecher principle for quaternionic discrete series Hiro-aki NaritaWaseda U.
19. SOLUTIONS OF CERTAIN HOLONOMIC SYSTEM OF RANK 8 ARISING FROM DIFFERENTIAL OPERATORS ON SIEGEL MODULAR FORMS TOMOYOSHI IBUKIYAMAOsaka U.
20. On the calculation of the ramified Siegel series 渡邉真広 ( Masahiro Watanabe )京都大学
21. On the Fourier coefficients of Siegel Eisenstein series of an odd prime level Keiichi GunjiChiba Inst. Tech.