Results 21 to 30 of about 211 (57)

Quasitriangular coideal subalgebras of Uq(g) in terms of generalized Satake diagrams

Bulletin of the London Mathematical Society, Volume 52, Issue 4, Page 693-715, August 2020., 2020
Abstract Let g be a finite‐dimensional semisimple complex Lie algebra and θ an involutive automorphism of g. According to Letzter, Kolb and Balagović the fixed‐point subalgebra k=gθ has a quantum counterpart B, a coideal subalgebra of the Drinfeld–Jimbo quantum group Uq(g) possessing a universal K‐matrix K.
Vidas Regelskis, Bart Vlaar
wiley   +1 more source

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
wiley   +1 more source

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
wiley   +1 more source

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, Pavel Guerzhoy, Ben Kane, Larry Rolen   +3 more
wiley   +1 more source

Doubling constructions and tensor product L-functions: coverings of the symplectic group

Forum of Mathematics, Sigma
In this work, we develop an integral representation for the partial L-function of a pair $\pi \times \tau $ of genuine irreducible cuspidal automorphic representations, $\pi $ of the m-fold covering of Matsumoto of the symplectic group $
Eyal Kaplan
doaj   +1 more source

Eisenstein Cohomology for $\mathrm {GL}_N$ and the special values of Rankin–Selberg L-functions over a totally imaginary number field

Forum of Mathematics, Sigma
This article presents new rationality results for the ratios of critical values of Rankin–Selberg L-functions of $\mathrm {GL}(n) \times \mathrm {GL}(n')$ over a totally imaginary field $F.$ The proof is based on a cohomological ...
A. Raghuram
doaj   +1 more source

Uniqueness of Rankin-Selberg products

, 2013
In the present paper, we show the equality of the $\gamma$-factors defined by Jacquet, Piatetski-Shapiro and Shalika with those obtained via the Langlands-Shahidi method.
Henniart, Guy, Lomelí, Luis
core   +1 more source

Remarks on the arithmetic fundamental lemma

, 2017
W. Zhang's arithmetic fundamental lemma (AFL) is a conjectural identity between the derivative of an orbital integral on a symmetric space with an arithmetic intersection number on a unitary Rapoport-Zink space.
Li, Chao, Zhu, Yihang
core   +1 more source