Results 11 to 20 of about 193 (35)
THE BERNSTEIN CENTER OF THE CATEGORY OF SMOOTH $W(k)[\text{GL}_{n}(F)]$ -MODULES
Forum of Mathematics, Sigma, 2016 We consider the category of smooth $W(k)[\text{GL}_{n}(F)]$ -modules, where $F$
DAVID HELM
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UNRAMIFIEDNESS OF GALOIS REPRESENTATIONS ARISING FROM HILBERT MODULAR SURFACES
Forum of Mathematics, Sigma, 2017 Let $p$ be a prime number and $F$ a totally real number ...
MATTHEW EMERTON +2 more
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Gauss-Manin connections for p-adic families of nearly overconvergent modular forms [PDF]
, 2014 We interpolate the Gauss-Manin connection in p-adic families of nearly overconvergent modular forms. This gives a family of Maass-Shimura type differential operators from the space of nearly overconvergent modular forms of type r to the space of nearly ...
Harron, Robert, Xiao, Liang
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Mock theta functions and weakly holomorphic modular forms modulo 2 and 3 [PDF]
, 2013 We prove that the coefficients of certain mock theta functions possess no linear congruences modulo 3. We prove similar results for the moduli 2 and 3 for a wide class of weakly holomorphic modular forms and discuss applications.
Ahlgren, Scott, Kim, Byungchan
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Sturm Bounds for Siegel Modular Forms [PDF]
, 2015 We establish Sturm bounds for degree g Siegel modular forms modulo a prime p, which are vital for explicit computations. Our inductive proof exploits Fourier-Jacobi expansions of Siegel modular forms and properties of specializations of Jacobi forms to ...
Richter, Olav K. +1 more
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Congruences Among Power Series Coefficients of Modular Forms [PDF]
, 2013 Many authors have investigated the congruence relations amongst the coefficients of power series expansions of modular forms $f$ in modular functions $t$. In a recent paper, R. Osburn and B. Sahu examine several power series expansions and prove that the
Moy, Richard
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Theta operators, Goss polynomials, and v-adic modular forms [PDF]
, 2016 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.
Papanikolas, Matthew A., Zeng, Guchao
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Newton slopes for Artin-Schreier-Witt towers [PDF]
, 2015 We fix a monic polynomial $f(x) \in \mathbb F_q[x]$ over a finite field and consider the Artin-Schreier-Witt tower defined by $f(x)$; this is a tower of curves $\cdots \to C_m \to C_{m-1} \to \cdots \to C_0 =\mathbb A^1$, with total Galois group $\mathbb
Davis, Christopher +2 more
core +4 more sources
On the modularity of reducible mod l Galois representations [PDF]
, 2016 We prove that every odd semisimple reducible (2-dimensional) mod l Galois representation arises from a cuspidal eigenform. In addition, we investigate the possible different types (level, weight, character) of such a modular form. When the representation
Billerey, Nicolas, Menares, Ricardo
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Congruences for traces of singular moduli
, 2004 We extend a result of Ahlgren and Ono on congruences for traces of singular moduli of level 1 to traces defined in terms of Hauptmodul associated to certain groups of genus 0 of higher levels.Comment: 8 pages, to appear in The Ramanujan ...
Osburn, Robert
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