Overconvergent modular symbols and $p$-adic $L$-functions
نویسندگان
چکیده
منابع مشابه
OVERCONVERGENT MODULAR SYMBOLS AND p-ADIC L-FUNCTIONS
Cet article est exploration constructive des rapports entre les symboles modulaires classique et les symboles modulaires p-adiques surconvergents. Plus précisément, on donne une preuve constructive d’un theorème de controle (Theoreme 1.1) du deuxiéme auteur [20]; ce theoréme preuve l’existence et l’unicité des “liftings propres” des symboles propres modulaires classiques de pente non-critique. ...
متن کاملIwasawa theory of overconvergent modular forms, I: Critical-slope p-adic L-functions
We construct an Euler system of p-adic zeta elements over the eigencurve which interpolates Kato’s zeta elements over all classical points. Applying a big regulator map gives rise to a purely algebraic construction of a two-variable p-adic L-function over the eigencurve. As a first application of these ideas, we prove the equality of the p-adic L-functions associated with a critical-slope refin...
متن کاملOverconvergent Modular Symbols
1.26920930427955342168879461700... + 0.000000000000000000000000000000...i 0.000000000000000000000000000000... + 2.91763323387699045866177922600...i 0.634604652139776710844397308500... + 1.45881661693849522933088961300...i 3.17302326069888355422198654250... +−1.45881661693849522933088961300...i 1.90381395641933013253319192550... + 1.45881661693849522933088961300...i 0.000000000000000000000000000...
متن کاملOverconvergent Modular Symbols
The theory of overconvergent modular symbols was created by Glenn Stevens over 20 years ago, and since then the subject has had many generalizations and applications central to modern number theory (e.g. overconvergent cohomology, eigenvarieties of reductive groups, families of p-adic L-functions, just to name a few). In these notes, rather than give a systematic development of the general theo...
متن کاملOverconvergent Modular Symbols
1.26920930427955342168879461700... + 0.000000000000000000000000000000...i 0.000000000000000000000000000000... + 2.91763323387699045866177922600...i 0.634604652139776710844397308500... + 1.45881661693849522933088961300...i 3.17302326069888355422198654250... +−1.45881661693849522933088961300...i 1.90381395641933013253319192550... + 1.45881661693849522933088961300...i 0.000000000000000000000000000...
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ژورنال
عنوان ژورنال: Annales scientifiques de l'École normale supérieure
سال: 2011
ISSN: 0012-9593,1873-2151
DOI: 10.24033/asens.2139