Geodesic
Factorisation of Two-variable p-adic L-functions
Canadian mathematical bulletin, Tome 57 (2014) no. 4, pp. 845-852

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DOI

Let $f$ be a modular form that is non-ordinary at $p$ . Loeffler has recently constructed four two-variable $p$ -adic $L$ -functions associated with $f$ . In the case where ${{a}_{p}}\,=\,0$ , he showed that, as in the one-variable case, Pollack’s plus and minus splitting applies to these new objects. In this article, we show that such a splitting can be generalised to the case where ${{a}_{p}}\ne 0$ using Sprung’s logarithmic matrix.
DOI : 10.4153/CMB-2013-044-2
Mots-clés : 11S40, 11S80, modular forms, p-adic L-functions, supersingular primes 
Lei, Antonio. Factorisation of Two-variable p-adic L-functions. Canadian mathematical bulletin, Tome 57 (2014) no. 4, pp. 845-852. doi: 10.4153/CMB-2013-044-2
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     author = {Lei, Antonio},
     title = {Factorisation of {Two-variable} p-adic {L-functions}},
     journal = {Canadian mathematical bulletin},
     pages = {845--852},
     year = {2014},
     volume = {57},
     number = {4},
     doi = {10.4153/CMB-2013-044-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2013-044-2/}
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