Results 21 to 30 of about 670 (58)
2‐adic slopes of Hilbert modular forms over Q(5)
Bulletin of the London Mathematical Society, Volume 52, Issue 4, Page 716-729, August 2020., 2020 Abstract We show that for arithmetic weights with a fixed finite‐order character, the slopes of Up for p=2 (which is inert) acting on overconvergent Hilbert modular forms of level U0(4) are independent of the (algebraic part of the) weight and can be obtained by a simple recipe from the classical slopes in parallel weight 3.
Christopher Birkbeck
wiley +1 more source
p‐adic L‐functions on metaplectic groups
Journal of the London Mathematical Society, Volume 102, Issue 1, Page 229-256, August 2020., 2020 Abstract With respect to the analytic‐algebraic dichotomy, the theory of Siegel modular forms of half‐integral weight is lopsided; the analytic theory is strong, whereas the algebraic lags behind. In this paper, we capitalise on this to establish the fundamental object needed for the analytic side of the Iwasawa main conjecture — the p‐adic L‐function ...
Salvatore Mercuri
wiley +1 more source
Linear correlations of multiplicative functions
Proceedings of the London Mathematical Society, Volume 121, Issue 2, Page 372-425, August 2020., 2020 Abstract We prove a Green–Tao type theorem for multiplicative functions.
Lilian Matthiesen
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A generalization of a theorem of Rodgers and Saxl for simple groups of bounded rank
Bulletin of the London Mathematical Society, Volume 52, Issue 3, Page 464-471, June 2020., 2020 Abstract We prove that if G is a finite simple group of Lie type and S1,⋯,Sk are subsets of G satisfying ∏i=1k|Si|⩾|G|c for some c depending only on the rank of G, then there exist elements g1,⋯,gk such that G=(S1)g1⋯(Sk)gk. This theorem generalizes an earlier theorem of the authors and Short.
N. Gill, L. Pyber, E. Szabó
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Central L‐values of elliptic curves and local polynomials
Proceedings of the London Mathematical Society, Volume 120, Issue 5, Page 742-769, May 2020., 2020 Abstract Here we study the recently introduced notion of a locally harmonic Maass form and its applications to the theory of L‐functions. In particular, we find a criterion for vanishing of certain twisted central L‐values of a family of elliptic curves, whereby vanishing occurs precisely when the values of two finite sums over canonical binary ...
Stephan Ehlen +3 more
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Forum of Mathematics, Sigma, 2014 We prove a simple level-raising result for regular algebraic, conjugate self-dual automorphic forms on $\mathrm{GL}_n$ .
JACK A. THORNE
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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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The dual pair $\mathrm {Aut}(C)\times F_{4}$ (p-adic case)
Forum of Mathematics, SigmaWe study the local theta correspondence for dual pairs of the form $\mathrm {Aut}(C)\times F_{4}$ over a p-adic field, where C is a composition algebra of dimension $2$ or $4$ , by restricting the minimal representation of a group of ...
Edmund Karasiewicz, Gordan Savin
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Twisting formula of epsilon factors
, 2017 For characters of a non-Archimedean local field we have explicit formula for epsilon factors. But in general, we do not have any generalized twisting formula of epsilon factors.
Biswas, Sazzad Ali
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Local newforms for generic representations of unramified even unitary groups I: Even conductor case
Forum of Mathematics, SigmaIn this paper, we define compact open subgroups of quasi-split even unitary groups for each even non-negative integer and establish the theory of local newforms for irreducible tempered generic representations with a certain condition on the central ...
Hiraku Atobe
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