Zobrazeno 1 - 10
of 799
pro vyhledávání: '"p-adic modular forms"'
We produce a flat $\Lambda$-module of $\Lambda$-adic critical slope overconvergent modular forms, producing a Hida-type theory that interpolates such forms over $p$-adically varying integer weights. This provides a Hida-theoretic explanation for an o
Externí odkaz:
http://arxiv.org/abs/2406.08460
Autor:
Howe, Sean
Following a suggestion of Peter Scholze, we construct an action of $\hat{\mathbb{G}}_m$ on the Katz moduli problem, a profinite-\'{e}tale cover of the ordinary locus of the $p$-adic modular curve whose ring of functions is Serre's space of $p$-adic m
Externí odkaz:
http://arxiv.org/abs/2003.11129
Autor:
Papanikolas, Matthew A., Zeng, Guchao
Publikováno v:
J. Th\'eor. Nombres Bordeaux 29 (2017), no. 3, 729-753
We investigate hyperderivatives of Drinfeld modular forms and determine formulas for these derivatives in terms of Goss polynomials for the kernel of the Carlitz exponential. As a consequence we prove that v-adic modular forms in the sense of Serre,
Externí odkaz:
http://arxiv.org/abs/1605.04235
Autor:
Bergdall, John, Pollack, Robert
Publikováno v:
Proc London Math Soc (2016) 113 (4): 419-444
We study the relationship between recent conjectures on slopes of overconvergent p-adic modular forms "near the boundary" of p-adic weight space. We also prove in tame level 1 that the coefficients of the Fredholm series of the U_p operator never van
Externí odkaz:
http://arxiv.org/abs/1506.05307
Bloch-Okounkov studied certain functions on partitions $f$ called shifted symmetric polynomials. They showed that certain $q$-series arising from these functions (the so-called \emph{$q$-brackets} $\left_q$) are quasimodular forms. We revisi
Externí odkaz:
http://arxiv.org/abs/1509.07161
Autor:
Howe, Sean1 (AUTHOR)
Publikováno v:
Transactions of the American Mathematical Society, Series B. 11/5/2020, Vol. 7, p186-226. 41p.
Autor:
Brasca, Riccardo
Publikováno v:
Compositio Math. 149 (2013) 32-62
In this work, we set up a theory of p-adic modular forms over Shimura curves over totally real fields which allows us to consider also non-integral weights. In particular, we define an analogue of the sheaves of k-th invariant differentials over the
Externí odkaz:
http://arxiv.org/abs/1106.2712
Publikováno v:
Transactions of the American Mathematical Society, 2012 May 01. 364(5), 2393-2410.
Externí odkaz:
http://dx.doi.org/10.1090/S0002-9947-2012-05525-5
Autor:
Goss, David
The classical theory of $p$-adic (elliptic) modular forms arose in the 1970's from the work of J.-P.\ Serre \cite{se1} who took $p$-adic limits of the $q$-expansions of these forms. It was soon expanded by N.\ Katz \cite{ka1} with a more functorial a
Externí odkaz:
http://arxiv.org/abs/1306.4344