ON EXTRA ZEROS OF p-ADIC RANKIN-SELBERG L-FUNCTIONS

被引：0

作者：

Benois, D. ^{[1
]}

Horte, S. ^{[2
]}

机构：

[1] Univ Bordeaux, Inst Math, 351,cours Liberat, F-33405 Talence, France

[2] 28, rue Platanes, F-92500 Rueil Malmaison, France

来源：

ST PETERSBURG MATHEMATICAL JOURNAL | 2024年

关键词：

p-Adic L-functions; modular forms; p-adic representations; IWASAWA THEORY; EISENSTEIN CLASSES; SYNTOMIC REGULATORS; MODULAR-FORMS; EULER SYSTEMS; REPRESENTATIONS; FAMILIES; BEHAVIOR; ELEMENTS; PRODUCT;

D O I：

10.1090/spmj/1785

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A version of the extra -zero conjecture, formulated by the first named author, is proved for p-adic L -functions associated with Rankin-Selberg convolutions of modular forms of the same weight. This result provides an evidence in support of this conjecture in the noncritical case, which remained essentially unstudied.

引用

页码：929 / 989

页数：61

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