On the p-adic L-function of Hilbert modular forms at supersingular primes
On the p-adic L-function of Hilbert modular forms at supersingular primes
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超奇异素数处 Hilbert 模形式的 p 进 L 函数
DOI：
10.1016/j.jnt.2010.09.005
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发表时间：
2011
影响因子：
0.7
通讯作者：
Bei Zhang
中科院分区：
文献类型：
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作者：
Bei Zhang
In this paper, I discuss the construction of the p-adic L-function attached to a Hilbert modular form f, supersingular or ordinary, which turns out to be the non-archimedean Mellin transform of an h-admissible measure. And h is explicitly given. As a special case, when the Fourier coefficient of f at p|p is zero, plus/minus p-adic L-functions are furthermore defined as bounded functions, and they interpolate special values of L(f,χ,s) for cyclotomic characters χ. This can be used to formulate Iwasawa main conjecture for supersingular elliptic curve defined over a totally real field.
CM 椭圆曲线的超奇异素数处的 p 进 L 函数
DOI：
--
发表时间：
2008
期刊：
影响因子：
--
作者：
Osamu Iyama;Idun Reiten;小林真一;Osamu Iyama;Osamu Iyama;S. KOBAYASHI
通讯作者：
S. KOBAYASHI