Results 131 to 140 of about 3,429,146 (271)
Cancellation of divergences up to three loops in exceptional field theory
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
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An exceptional arithmetic group and its Eisenstein series [PDF]
Walter L. Baily
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Deformations of Theta Integrals and A Conjecture of Gross-Zagier
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+2 more
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On a formula of spin sums, Eisenstein-Kronecker series in higher genus Riemann surfaces
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
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On the Eisenstein Series for the Principal Congruence Subgroups [PDF]
Akio Orihara
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Higher d Eisenstein series and a duality-invariant distance measure
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
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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
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On Eisenstein series with characters and the values of Dirichlet L-functions [PDF]
Bruce C. Berndt
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Explicit calculations with Eisenstein series
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.
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Eisenstein series in hyperbolic 3-space and Kronecker limit formula for biquadratic field [PDF]
Shuji Konno
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