S‐adic L‐Functions Attached to the Symmetric Square of a Newform

S‐adic L‐Functions Attached to the Symmetric Square of a Newform
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附加到新形式的对称平方上的 S-adic L-函数

DOI:
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发表时间:
1997
期刊:
影响因子:
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通讯作者:
D. Delbourgo
D. Delbourgo
中科院分区:
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文献类型:
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作者:
A. Dąbrowski;D. Delbourgo

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In order to apply the ideas of Iwasawa theory to the symmetric square of a newform, we need to be able to define non‐archimedean analogues of its complex L‐series. The interpolated p‐adic L‐function is closely connected via a “Main Conjecture” with certain Selmer groups over the cyclotomic Zp‐extension of Q. In the p‐ordinary case these functions are well understood.