Results 101 to 110 of about 50,891 (201)

Towards the n-point one-loop superstring amplitude. Part III. One-loop correlators and their double-copy structure

Journal of High Energy Physics, 2019
In this final part of a series of three papers, we will assemble supersymmetric expressions for one-loop correlators in pure-spinor superspace that are BRST invariant, local, and single valued.
Carlos R. Mafra, Oliver Schlotterer
doaj   +1 more source

On Eisenstein Series of GLn

Journal of Number Theory, 1995
Since the results are very technical it is difficult to state them here explicitly and so we quote from the author's introduction: ``In this paper we present a new method of obtaining an analytic continuation and explicit functional equation for an Eisenstein series attached to any standard maximal parabolic subgroup of \(GL_ n\). One main idea of this
openaire   +2 more sources

The global Gan-Gross-Prasad conjecture for unitary groups. II. From Eisenstein series to Bessel periods

Forum of Mathematics, Pi
We state and prove an extension of the global Gan-Gross-Prasad conjecture and the Ichino-Ikeda conjecture to the case of some Eisenstein series on unitary groups $U_n\times U_{n+1}$ .
Raphaël Beuzart-Plessis, Pierre-Henri Chaudouard   +1 more
doaj   +1 more source

On Hermitian Eisenstein series

Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1994
Let \(\Gamma_ n(K)\) denote the Hermitian modular group of degree \(n\) in the sense of \textit{H. Braun} [Ann. Math., II. Ser. 50, 827-855 (1949; Zbl 0038.238)] associated with an imaginary quadratic number field \(K\) of class number 1. The author considers the Eisenstein series \[ E_ k^{(n)} (Z,s) : =\sum_{{AB \choose CD} : {** \choose 0 ...
openaire   +3 more sources

A Tapestry of Ideas with Ramanujan’s Formula Woven In

Axioms
Zeta-functions play a fundamental role in many fields where there is a norm or a means to measure distance. They are usually given in the forms of Dirichlet series (additive), and they sometimes possess the Euler product (multiplicative) when the domain ...
Nianliang Wang, Takako Kuzumaki, Shigeru Kanemitsu   +2 more
doaj   +1 more source

Holographic thermal propagator from modularity

Journal of High Energy Physics
It is known that the holographic thermal propagator in 4 spacetime dimensions can be related to the Nekrasov-Shatashvili limit of the Ω-deformed $$\mathcal{N}=2$$ supersymmetric SU(2) Yang-Mills theory with N f = 4 hypermultiplets.
Borut Bajc, Katarina Trailović
doaj   +1 more source

Traces of partition Eisenstein series and almost holomorphic modular forms. [PDF]

Res Number Theory
Bringmann K, Pandey BV.
europepmc   +1 more source

Geometric sieve over number fields for higher moments. [PDF]

Res Number Theory, 2023
Micheli G, Schraven S, Tinani S, Weger V.   +3 more
europepmc   +1 more source

<i>P</i>-adic <i>L</i>-functions for GL ( 3 ). [PDF]

Math Ann
Loeffler D, Williams C.
europepmc   +1 more source

Cones of Noether-Lefschetz divisors and moduli spaces of hyperkähler manifolds. [PDF]

Math Ann
Barros I, Beri P, Flapan L, Williams B.
europepmc   +1 more source