Results 61 to 70 of about 260 (137)
, 2017 This compilation thesis stems from a project with the purpose of determining non-perturbative contributions to scattering amplitudes in string theory carrying important information about instantons, black hole quantum states and M-theory.
Gustafsson, Henrik,
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Scaling Limits of Lattice Quantum Fields by Wavelets. [PDF]
Commun Math Phys, 2021 Morinelli V +3 more
europepmc +1 more source
On Jacobi forms of lattice index [PDF]
, 2019 Jacobi forms arise naturally in number theory in several ways: theta series arise as functions of lattices, Siegel modular forms give rise to Jacobi forms through their Fourier-Jacobi expansion and the largest Mathieu group gives rise to semi-holomorphic
Mocanu, Andreea
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On the Fourier-Jacobi Expansion of Quaternionic Modular Forms on Spin(8) [PDF]
In this dissertation, we study a class of non-holomorphic, cohomological automorphic functions on the split, simply connected, spin group G=Spin(4,4). Following ideas of Gross-Wallach, Gan-Gross-Savin, M. Weissman, and A.
McGlade, Finn
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86th Annual Meeting of the Meteoritical Society (2024)
Meteoritics &Planetary Science, Volume 59, Issue S1, Page A1-A468, August 2024.
wiley +1 more source
Regularized inner products and meromorphic modular forms
, 2017 In this talk, we consider a regularization of Petersson's inner product which is well-defined (and finite) between two meromorphic modular forms and agrees with Petersson's inner product whenever the latter exists.
Kane, BR
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The Ramanujan conjecture and its applications. [PDF]
Philos Trans A Math Phys Eng Sci, 2020 Winnie Li WC.
europepmc +1 more source
Galois representations with quaternion multiplication associated to noncongruence modular forms
, 2013 In this paper we study the compatible family of degree-4 Scholl representations ρℓ associated with a space S of weight κ \u3e 2 noncongruence cusp forms satisfying QuaternionMultiplication over a biquadratic extension of ℚ.
Liu, Tong +3 more
core +1 more source
Construction of automorphic forms and integrals
, 1974 It is well known that modular forms of positive dimension have Fourier coefficients given by certain infinite series involving Kloostermann sums and the modified Bessel function of the first kind.
Douglas Niebur
core +1 more source
Automorphic representations, Whittaker vectors, and black holes
, 2017 Automorphic forms on exceptional Lie groups appear naturally in string theory compactifications. They manifest themselves as couplings in higher derivative corrections and in terms of generating functions of black hole microstates.
Persson, Daniel
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