Results 31 to 40 of about 1,077,663 (191)
Combinatorics of traces of Hecke operators [PDF]
Proceedings of the National Academy of Sciences, 2004 We investigate the combinatorial properties of the traces of the n th Hecke operators on the spaces of weight 2k cusp forms of level N . We establish examples in which these traces are expressed in terms of classical objects in enumerative combinatorics (e.g., tilings ...
Frechette, Sharon +2 more
openaire +3 more sources
Statistics of Hecke eigenvalues for GL(đ)
Forum mathematicum, 2018 A two-dimensional central limit theorem for the eigenvalues of GL ⢠( n ) {\mathrm{GL}(n)} HeckeâMaass cusp forms is newly derived. The covariance matrix is diagonal and hence verifies the statistical independence between the real and imaginary parts of ...
Y. Lau, M. Ng, Yingnan Wang
semanticscholar +1 more source
Hecke Algebras With Unequal Parameters [PDF]
, 2002 Introduction Coxeter groups Partial order on $W$ The algebra ${\mathcal H}$ The bar operator The elements $c_w$ Left or right multiplication by $c_s$ Dihedral groups Cells Cosets of parabolic subgroups Inversion The longest element for a finite $W ...
G. Lusztig
semanticscholar +1 more source
Hypergeometric motives from Euler integral representations
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract We revisit certain oneâparameter families of affine covers arising naturally from Euler's integral representation of hypergeometric functions. We introduce a partial compactification of this family. We show that the zeta function of the fibers in the family can be written as an explicit product of L$L$âseries attached to nondegenerate ...
Tyler L. Kelly, John Voight
wiley +1 more source
A bar operator for involutions in a Coxeter group [PDF]
, 2012 In [LV] the authors defined a Hecke algebra action and a bar involution on a vector space spanned by the involutions in a Weyl group. In this paper we give a new definition of the Hecke algebra action and the bar operator which, unlike the one in [LV ...
Lusztig, G.
core +2 more sources
Orthogonality and Hecke operators
Proceedings - Mathematical Sciences, 2009 In this article we analyze orthogonality relations between old forms and the connection to the theory of Hecke operators.
Winfried Kohnen, Christian WeiĂ
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Agribusiness, Volume 42, Issue 1, Page 381-399, Winter 2026.Abstract The exponential expansion of the global cider market positions it as a viable alternative to traditional choices such as wine and beer. Nevertheless, there exists a paucity of research examining the various factors influencing consumer interest in cider.
Eva Parga Dans +3 more
wiley +1 more source
Hecke Operators and Hilbert Modular Forms [PDF]
, 2008 Let F be a real quadratic field with ring of integers O and with class number 1. Let Gamma be a congruence subgroup of GL_2 (O). We describe a technique to compute the action of the Hecke operators on the cohomology H^3 (Gamma; C). For F real quadratic this cohomology group contains the cuspidal cohomology corresponding to cuspidal Hilbert modular ...
Gunnells, PE, Yasaki, D
openaire +2 more sources
Weylâs law for Hecke operators on GL(n) over imaginary quadratic number fields [PDF]
, 2013 We prove Weyl's law for Hecke operators acting on cusp forms of ${\rm GL}(n)$ over imaginary quadratic number fields together with an upper bound for the error term depending explicitly on the Hecke operator.
Jasmin Matz
semanticscholar +1 more source
Magnetic Resonance in Medicine, Volume 95, Issue 1, Page 204-219, January 2026.Abstract Purpose Rotational invariants (RIs) are at the root of many dMRI applications. Among others, they are presented as a sensible way of reducing the dimensionality of biophysical models. While thermal noise impact on diffusion metrics has been well studied, little is known on its effect on spherical harmonicsâbased RI (RISH) features and derived ...
Guillem ParĂs +5 more
wiley +1 more source