Results 31 to 40 of about 52,441 (236)

Kernels for products of L-functions [PDF]

open access: yes, 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   +10 more
core   +3 more sources

Eisenstein Series Identities Involving the Borweins' Cubic Theta Functions

open access: yesJournal 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

MONTASE MEWUJUDKAN FANTASI DALAM FILM POHON PENGHUJAN

open access: yesCapture, 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

Virasoro blocks at large exchange dimension

open access: yesNuclear Physics B, 2021
In this paper, we analyze Virasoro conformal blocks in the limit when the operator exchange dimension is taking to be large in comparison with the other parameters dependence of the block. We do this by using Zamolodchikov's recursion relations. We found
Carlos Cardona
doaj   +1 more source

Whittaker coefficients of geometric Eisenstein series

open access: yesForum 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

Double Shuffle Relations of Double Zeta Values and Double Eisenstein Series of Level N

open access: yes, 2015
In their seminal paper "Double zeta values and modular forms" Gangl, Kaneko and Zagier defined a double Eisenstein series and used it to study the relations between double zeta values.
Yuan, Haiping, Zhao, Jianqiang
core   +1 more source

Hybrid subconvexity for class group $L$-functions and uniform sup norm bounds of Eisenstein series

open access: yes, 2020
In this paper we prove a hybrid subconvexity bound for class group $L$-functions associated to a quadratic extension $K/\mathbb{Q}$ (real or imaginary). Our proof relies on relating the class group $L$-functions to Eisenstein series evaluated at Heegner ...
Nordentoft, Asbjorn Christian
core   +1 more source

Eisenstein series and quantum groups [PDF]

open access: yes, 2016
We sketch a proof of a conjecture of [FFKM] that relates the geometric Eisenstein series sheaf with semi-infinite cohomology of the small quantum group with coefficients in the tilting module for the big quantum ...
Gaitsgory, Dennis
core   +3 more sources

New modular invariants in N $$ \mathcal{N} $$ = 4 Super-Yang-Mills theory

open access: yesJournal of High Energy Physics, 2021
We study modular invariants arising in the four-point functions of the stress tensor multiplet operators of the N $$ \mathcal{N} $$ = 4 SU(N) super-Yang-Mills theory, in the limit where N is taken to be large while the complexified Yang-Mills coupling τ ...
Shai M. Chester   +4 more
doaj   +1 more source

Noncommutative modular symbols and Eisenstein series

open access: yes, 2018
We form real-analytic Eisenstein series twisted by Manin's noncommutative modular symbols. After developing their basic properties, these series are shown to have meromorphic continuations to the entire complex plane and satisfy functional equations in ...
Chinta, Gautam   +2 more
core   +1 more source

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