Results 71 to 80 of about 3,429,146 (271)

Kernels for products of L-functions [PDF]

, 2011
The Rankin-Cohen bracket of two Eisenstein series provides a kernel yielding products of the periods of Hecke eigenforms at critical values. Extending this idea leads to a new type of Eisenstein series built with a double sum.
Cohen, Cormac O’Sullivan, Diaconu, Iwaniec, Jorgenson, Koblic, Kohnen, Kontsevich, Manin, Nikolaos Diamantis, Shimura   +10 more
core   +3 more sources

Kloosterman sums and Fourier coefficients of Eisenstein series [PDF]

The Ramanujan journal, 2017
We derive explicit formulas for some Kloosterman sums on Γ0(N)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength ...
E. M. Kıral, M. Young
semanticscholar   +1 more source

Whittaker coefficients of geometric Eisenstein series

Forum of Mathematics, Sigma
Geometric Langlands predicts an isomorphism between Whittaker coefficients of Eisenstein series and functions on the moduli space of $\check {N}$ -local systems.
Jeremy Taylor
doaj   +1 more source

Eisenstein Series Identities Involving the Borweins' Cubic Theta Functions

Journal of Applied Mathematics, 2012
Based on the theories of Ramanujan's elliptic functions and the (p, k)-parametrization of theta functions due to Alaca et al. (2006, 2007, 2006) we derive certain Eisenstein series identities involving the Borweins' cubic theta functions with the help of
Ernest X. W. Xia, Olivia X. M. Yao
doaj   +1 more source

Two-loop master integrals for pseudo-scalar quarkonium and leptonium production and decay

Journal of High Energy Physics, 2022
We compute the master integrals relevant for the two-loop corrections to pseudo-scalar quarkonium and leptonium production and decay. We present both analytic and high-precision numerical results.
Samuel Abreu, Matteo Becchetti, Claude Duhr, Melih A. Ozcelik   +3 more
doaj   +1 more source

Integrality and cuspidality of pullbacks of nearly holomorphic Siegel Eisenstein series [PDF]

Publicacions matemàtiques, 2019
We study nearly holomorphic Siegel Eisenstein series of general levels and characters on $\mathbb{H}_{2n}$, the Siegel upper half space of degree $2n$.
Ameya Pitale, A. Saha, Ralf Schmidt
semanticscholar   +1 more source

A p-adic Eisenstein measure for unitary groups

, 2013
We construct a p-adic Eisenstein measure with values in the space of p-adic automorphic forms on certain unitary groups. Using this measure, we p-adically interpolate certain special values of both holomorphic and non-holomorphic Eisenstein series, as ...
Eischen, Ellen E.
core   +1 more source

Correction to: Equidistribution of Eisenstein Series in the Level Aspect [PDF]

Communications in Mathematical Physics, 2019
The second author formulated quantum unique ergodicity for Eisenstein series in the prime level aspect in “Equidistribution of Eisenstein series in the level aspect”, Commun. Math. Phys. 289(3) 1150 (2009). We point out errors and correct the proofs with
I. Kaneko, S. Koyama
semanticscholar   +1 more source

Eisenstein series for the Weil representation [PDF]

Journal of Number Theory, 2018
We compute the Fourier expansion of vector valued Eisenstein series for the Weil representation associated to an even lattice. To this end, we define certain twists by Dirichlet characters of the usual Eisenstein series associated to isotropic elements in the discriminant form of the underlying lattice.
openaire   +2 more sources

MONTASE MEWUJUDKAN FANTASI DALAM FILM POHON PENGHUJAN

Capture, 2017
The research titled Montage Realizing Fantasy in the Rain Tree Film (Montase Mewujudkan Fantasi dalam Film Pohon Penghujan)uses qualitative research methods with a formalist esthetic approach and Eisenstein's montage theory.
Naafi Nur Rohma, Matius Ali
doaj   +1 more source