Results 31 to 40 of about 52,325 (233)

Linear dependence of quasi-periods over the rationals

Comptes Rendus. Mathématique, 2021
In this note we shall show that a lattice $\mathbb{Z}\omega _1+\mathbb{Z}\omega _2$ in $\mathbb{C}$ has $\mathbb{Q}$-linearly dependent quasi-periods if and only if $\omega _2/\omega _1$ is equivalent to a zero of the Eisenstein series $E_2$ under the ...
Kumar, K. Senthil
doaj   +1 more source

Utilization of Ramanujan-type Eisenstein series in the generation of differential equations

AIMS Mathematics
In his lost notebook, Ramanujan presented unique categories of remarkable infinite series, known as the Ramanujan-type Eisenstein series. The objective of this paper is to generate various differential identities related to classical $ \eta $-functions ...
H. C. Vidya, B. A. Rao
doaj   +1 more source

Normalizations of Eisenstein integrals for reductive symmetric spaces

, 2017
We construct minimal Eisenstein integrals for a reductive symmetric space G/H as matrix coefficients of the minimal principal series of G. The Eisenstein integrals thus obtained include those from the \sigma-minimal principal series.
Ban, Erik P. van den, Kuit, Job J.
core   +1 more source

Eisenstein series for infinite-dimensional U-duality groups [PDF]

, 2012
We consider Eisenstein series appearing as coefficients of curvature corrections in the low-energy expansion of type II string theory four-graviton scattering amplitudes.
A Basu, A Basu, A Font, A Kleinschmidt, A Kleinschmidt, A Kleinschmidt, A Kleinschmidt, A Sen, Axel Kleinschmidt, B Julia, B Julia, B Pioline, B Pioline, B Pioline, C Hull, C Moeglin, D Ginzburg, D Kazhdan, D Maison, DH Peterson, DJ Gross, E Cremmer, E Cremmer, E Cremmer, E Kiritsis, F Englert, F Gubay, G Bossard, G Bossard, G Bossard, H Garland, H Garland, H Nicolai, H Nicolai, I Antoniadis, J Brown, K Meissner, K Narain, L Bao, L Bao, M Blau, MB Green, MB Green, MB Green, MB Green, MB Green, MB Green, MB Green, MB Green, MB Green, MB Green, N Beisert, N Lambert, N Lambert, N Obers, N Obers, N Obers, P Breitenlohner, PC West, Philipp Fleig, R Kallosh, RP Geroch, RP Langlands, S Elitzur, S Kudla, S Mizoguchi, T Damour, T Damour, T Damour, T Damour, T Damour, V Belinskii, V Kac, VG Kac, Y Michel   +74 more
core   +2 more sources

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

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

Virasoro blocks at large exchange dimension

Nuclear 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

Eisenstein series and quantum groups [PDF]

, 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

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

, 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

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