Results 21 to 30 of about 4,611,369 (275)
AdS Virasoro-Shapiro amplitude with KK modes
Journal of High Energy Physics, 2023 We determine the first curvature correction for the string amplitude of two supergravity states and two Kaluza-Klein modes on AdS5×S5, which is dual to the correlator O 2 O 2 O p O p $$ \left\langle {\mathcal{O}}_2{\mathcal{O}}_2{\mathcal{O}}_p{\mathcal ...
Giulia Fardelli +2 more
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Journal of Function Spaces, 2020 Let Gu,v be a homogeneous nonnegative function of order λ,Kn,xm,ρ=Gnλ1,xm,ρλ2. By using the weight coefficient method, the equivalent parameter conditions and best constant factors for the validity of the following half-discrete Hilbert-type multiple ...
Qiang Chen, Bing He, Yong Hong, Zhen Li
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Mathematics, 2020 In this paper we establish a new half-discrete Hilbert-type inequality involving the variable upper limit integral and partial sums. As applications, an inequality obtained from the special case of the half-discrete Hilbert-type inequality is further ...
Jianquan Liao, Shanhe Wu, Bicheng Yang
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Integrating three-loop modular graph functions and transcendentality of string amplitudes
Journal of High Energy Physics, 2022 Modular graph functions (MGFs) are SL(2, ℤ)-invariant functions on the Poincaré upper half-plane associated with Feynman graphs of a conformal scalar field on a torus.
Eric D’Hoker, Nicholas Geiser
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Endpoint contributions to excited-state modular Hamiltonians
Journal of High Energy Physics, 2020 We compute modular Hamiltonians for excited states obtained by perturbing the vacuum with a unitary operator. We use operator methods and work to first order in the strength of the perturbation.
Daniel Kabat +3 more
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Subconvexity for half integral weight L-functions [PDF]
Mathematische Zeitschrift, 2015 33 ...
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Equidistribution of signs for modular eigenforms of half integral weight [PDF]
Archiv der Mathematik, 2013 8 pages; typos corrected, final version, accepted for publication in Archiv der ...
Inam, Ilker, Wiese, Gabor
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On the algebraicity of coefficients of half-integral weight mock modular forms
Open Mathematics, 2018 Extending works of Ono and Boylan to the half-integral weight case, we relate the algebraicity of Fourier coefficients of half-integral weight mock modular forms to the vanishing of Fourier coefficients of their shadows.
Choi SoYoung, Kim Chang Heon
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Frontiers in Digital Health, 2021 Parents/caregivers are consistently described as integral targets given their influential role in supporting and managing behaviors such as diet and physical activity.
Jennifer Sanchez-Flack +8 more
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Newforms of half-integral weight [PDF]
Nagoya Mathematical Journal, 1996 Two very different definitions of a newform of half-integral weight are present and continued to be developed in the literature. The first definition originated with Serre and Stark for forms of weight 1/2 [5], and is analogous to the definition of newform for integral weight forms, which uses forms of lower level and shifts of such forms to ...
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