TRIPLE PRODUCT p-ADIC L-FUNCTION ATTACHED TO p-ADIC FAMILIES OF MODULAR FORMS

被引：0

作者：

Fukunaga, Kengo ^{[1
]}

机构：

[1] Osaka Univ, Dept Math, Grad Sch Sci, Toyonaka, Osaka 5600043, Japan

来源：

TOHOKU MATHEMATICAL JOURNAL | 2022年 / 74卷 / 03期

关键词：

HECKE ALGEBRAS; REPRESENTATIONS; VALUES;

D O I：

10.2748/tmj.20210501

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Ming-Lun Hsieh constructed three-variable triple product p-adic L -functions attached to triples of primitive Hida families and proved interpolation formulas. We generalize his result in the unbalanced case and construct a three-variable triple product p-adic L-function attached to a primitive Hida family and two more general p-adic families of modular forms.

引用

页码：441 / 488

页数：48

共 50 条

[1] A SYMMETRIC TRIPLE PRODUCT p-ADIC L-FUNCTION
Mathematical Institute, University of Oxford, Andrew Wiles Building, OX2 6GG, United Kingdom
[J]. arXiv, 1600,
[2] TRIPLE PRODUCT p-ADIC L-FUNCTIONS ASSOCIATED TO FINITE SLOPE p-ADIC FAMILIES OF MODULAR FORMS
Andreatta, Fabrizio
Iovita, Adrian
[J]. DUKE MATHEMATICAL JOURNAL, 2021, 170 (09) : 1989 - 2083
[3] P-ADIC INTEGRAL REPRESENTATION OF P-ADIC L-FUNCTION
MORITA, Y
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1978, 302 : 71 - 95
[4] Approximations of the balanced triple product p-adic L-function
Dall'Ava, Luca
[J]. JOURNAL OF NUMBER THEORY, 2023, 246 : 189 - 226
[5] On the p-adic L-function of Hilbert modular forms at supersingular primes
Zhang, Bei
[J]. JOURNAL OF NUMBER THEORY, 2011, 131 (03) : 419 - 439
[6] Functional equation of the p-adic L-function of Bianchi modular forms
Palacios, Luis Santiago
[J]. JOURNAL OF NUMBER THEORY, 2023, 242 : 725 - 753
[7] On p-adic L-function associated with cusp forms on
Namikawa, Kenichi
[J]. MANUSCRIPTA MATHEMATICA, 2017, 153 (3-4) : 563 - 622
[8] Multiple p-adic L-function
Kim, T.
[J]. RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2006, 13 (02) : 151 - 157
[9] Multiple p-adic L-function
T. Kim
[J]. Russian Journal of Mathematical Physics, 2006, 13 : 151 - 157
[10] p-adic families of modular forms and p-adic Abel-Jacobi maps
Greenberg, Matthew
Seveso, Marco Adamo
[J]. ANNALES MATHEMATIQUES DU QUEBEC, 2016, 40 (02): : 397 - 434

← 1 2 3 4 5 →