Results 1 to 10 of about 6,196 (99)

Rankin-Selberg without unfolding and bounds for spherical Fourier coefficients of Maass forms

open access: yes, 2007
We use the uniqueness of various invariant functionals on irreducible unitary representations of PGL(2,R) in order to deduce the classical Rankin-Selberg identity for the sum of Fourier coefficients of Maass cusp forms and its new anisotropic analog.
Reznikov, Andre
core   +1 more source

Borcherds-Kac-Moody Symmetry of N=4 Dyons

open access: yes, 2008
We consider compactifications of heterotic string theory to four dimensions on CHL orbifolds of the type T^6 /Z_N with 16 supersymmetries. The exact partition functions of the quarter-BPS dyons in these models are given in terms of genus-two Siegel ...
Cheng, Miranda C. N., Dabholkar, Atish
core   +1 more source

Hyperbolic band theory. [PDF]

open access: yesSci Adv, 2021
Maciejko J, Rayan S.
europepmc   +1 more source

On the convolution sum of Fourier coefficients of automorphic forms

open access: yesThe Ramanujan Journal
Abstract Let $$\lambda _{\pi }(1,n)$$ λ π ( 1 , n )
openaire   +1 more source

Pointwise monotonicity of heat kernels. [PDF]

open access: yesRev Mat Complut, 2023
Alonso-Orán D   +3 more
europepmc   +1 more source

Density results for automorphic forms on Hilbert modular groups

open access: yes, 2002
We give density results for automorphic representations of Hilbert modular groups. In particular, we show that there are infinitely many automorphic representations that have a prescribed discrete series factor at some (but not all) real places.Comment ...
Bruggeman, R. W.   +2 more
core  

Scaling Limits of Lattice Quantum Fields by Wavelets. [PDF]

open access: yesCommun Math Phys, 2021
Morinelli V   +3 more
europepmc   +1 more source

The Ramanujan conjecture and its applications. [PDF]

open access: yesPhilos Trans A Math Phys Eng Sci, 2020
Winnie Li WC.
europepmc   +1 more source

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