Results 131 to 140 of about 3,429,146 (271)

Cancellation of divergences up to three loops in exceptional field theory

Journal of High Energy Physics, 2018
We consider the tetrahedral three-loop diagram in E d exceptional field theory evaluated as a scalar diagram for four external gravitons. At lowest order in momenta, this diagram contributes to the ∇6 R 4 term in the low-energy effective action for M ...
Guillaume Bossard, Axel Kleinschmidt
doaj   +1 more source

An exceptional arithmetic group and its Eisenstein series [PDF]

, 1969
Walter L. Baily
openalex   +1 more source

Deformations of Theta Integrals and A Conjecture of Gross-Zagier

Forum of Mathematics, Sigma
In this paper, we complete the proof of the conjecture of Gross and Zagier concerning algebraicity of higher Green functions at a single CM point on the product of modular curves. The new ingredient is an analogue of the incoherent Eisenstein series over
Jan H. Bruinier, Yingkun Li, Tonghai Yang   +2 more
doaj   +1 more source

On a formula of spin sums, Eisenstein-Kronecker series in higher genus Riemann surfaces

Nuclear Physics B, 2023
We discuss a decomposition formula of simple products of fermion correlation functions with cyclic constrains and its applications to spin sums of super string amplitudes.Based on some facts which are noted or derived in this paper, we propose a ...
A.G. Tsuchiya
doaj  

On the Eisenstein Series for the Principal Congruence Subgroups [PDF]

, 1969
Akio Orihara
openalex   +1 more source

Higher d Eisenstein series and a duality-invariant distance measure

Journal of High Energy Physics
The Petersson inner product is a natural inner product on the space of modular invariant functions. We derive a formula, written as a convergent sum over elementary functions, for the inner product E s (G, B) of the real analytic Eisenstein series $${E}_{
Nathan Benjamin, A. Liam Fitzpatrick
doaj   +1 more source

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 with characters and the values of Dirichlet L-functions [PDF]

, 1975
Bruce C. Berndt
openalex   +1 more source

Explicit calculations with Eisenstein series

Journal of Number Theory, 2019
We find explicit change-of-basis formulas between Eisenstein series attached to cusps, and newform Eisenstein series attached to pairs of primitive Dirichlet characters. As a consequence, we prove a Bruggeman-Kuznetsov formula for newforms of square-free level and trivial nebentypus.
openaire   +3 more sources

Eisenstein series in hyperbolic 3-space and Kronecker limit formula for biquadratic field [PDF]

, 1989
Shuji Konno
openalex   +1 more source