Factorisation of Two-variable $p$-adic $L$-functions

Canadian mathematical bulletin

Antonio Lei¹ 

[1] Department of Mathematics and Statistics, Burnside Hall, McGill University, Montreal QC, H3A 0B9

关键词: modular forms;    p-adic L-functions;    supersingular primes;   

DOI  :  10.4153/CMB-2013-044-2

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

Let $f$ be a modular form which is non-ordinary at $p$. Loeffler hasrecently constructed four two-variable $p$-adic $L$-functionsassociated to $f$. In the case where $a_p=0$, he showed that, as inthe one-variable case, Pollack's plus and minus splitting applies tothese new objects. In this article, we show that such a splitting canbe generalised to the case where $a_pe0$ using Sprung's logarithmicmatrix.

【 授权许可】

Unknown