Results 11 to 20 of about 670 (57)
Twisted Eisenstein series, cotangent‐zeta sums, and quantum modular forms
Transactions of the London Mathematical Society, Volume 7, Issue 1, Page 33-48, December 2020., 2020 Abstract We define twisted Eisenstein series Es±(h,k;τ) for s∈C, and show how their associated period functions, initially defined on the upper half complex plane H, have analytic continuation to all of C′:=C∖R⩽0. We also use this result, as well as properties of various zeta functions, to show that certain cotangent‐zeta sums behave like quantum ...
Amanda Folsom
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
COMPATIBLE SYSTEMS OF GALOIS REPRESENTATIONS ASSOCIATED TO THE EXCEPTIONAL GROUP $E_{6}$
Forum of Mathematics, Sigma, 2019 We construct, over any CM field, compatible systems of $l$-adic Galois representations that appear in the cohomology of algebraic varieties and have (for all $l$) algebraic monodromy groups equal to the exceptional group of type $E_{6}$.
GEORGE BOXER +5 more
doaj +1 more source
Base change and theta correspondences for supercuspidal representations of SL(2) [PDF]
, 2012 Let F be a p-adic field with p odd. Quadratic base change and theta-lifting are shown to be compatible for supercuspidal representations of SL(2,F). The argument involves the theory of types and the lattice model of the Weil representation.Comment: This ...
Manderscheid, David
core +2 more sources
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
doaj +1 more source
Distinguished representations, base change, and reducibility for unitary groups [PDF]
, 2004 We show the equality of the local Asai L-functions defined via the Rankin-Selberg method and the Langlands-Shahidi method for a square integrable representation of GL(n,E).
Anandavardhanan, U. K., Rajan, C. S.
core +2 more sources
DEFORMATION CONDITIONS FOR PSEUDOREPRESENTATIONS
Forum of Mathematics, Sigma, 2019 Given a property of representations satisfying a basic stability condition, Ramakrishna developed a variant of Mazur’s Galois deformation theory for representations with that property.
PRESTON WAKE, CARL WANG-ERICKSON
doaj +1 more source
Generalized Jacquet Modules of Parabolically Induced Representations
, 2012 In this paper we study a generalization of the Jacquet module of a parabolically induced representation and construct a filtration on it. The successive quotients of the filtration are written by using the twisting functor.
N. Abe
semanticscholar +1 more source
Geometric cycles, Albert algebras and related cohomology classes for arithmetic groups
, 2011 We discuss the construction of totally geodesic cycles in locally symmetric spaces attached to arithmetic subgroups in algebraic groups G of type F4 which originate with reductive subgroups of the group G. In many cases, it can be shown that these cycles,
J. Schwermer
semanticscholar +1 more source
On the local $L^2$ -Bound of the Eisenstein series
Forum of Mathematics, SigmaWe study the growth of the local $L^2$ -norms of the unitary Eisenstein series for reductive groups over number fields, in terms of their parameters. We derive a poly-logarithmic bound on an average, for a large class of reductive groups.
Subhajit Jana, Amitay Kamber
doaj +1 more source