Results 21 to 30 of about 481,122 (286)
Mathieu moonshine and Siegel Modular Forms
Journal of High Energy Physics, 2021 A second-quantized version of Mathieu moonshine leads to product formulae for functions that are potentially genus-two Siegel Modular Forms analogous to the Igusa Cusp Form. The modularity of these functions do not follow in an obvious manner.
Suresh Govindarajan, Sutapa Samanta
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Polar harmonic Maass forms and their applications [PDF]
, 2016 In this survey, we present recent results of the authors about non-meromorphic modular objects known as polar harmonic Maass forms. These include the computation of Fourier coefficients of meromorphic modular forms and relations between inner products of
Bringmann, Kathrin, Kane, Ben
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Weighted modular inequalities for monotone functions
Journal of Inequalities and Applications, 1997 Weight characterizations of weighted modular inequalities for operators on the cone of monotone functions are given in terms of composition operators on arbitrary non-negative functions with changes in weights. The results extend to modular inequalities,
Heinig HP, Kufner A, Drábek P
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Modular graph functions and odd cuspidal functions. Fourier and Poincaré series
Journal of High Energy Physics, 2019 Modular graph functions are SL(2, ℤ)-invariant functions associated with Feynman graphs of a two-dimensional conformal field theory on a torus of modulus τ. For one-loop graphs they reduce to real analytic Eisenstein series. We obtain the Fourier series,
Eric D’Hoker, Justin Kaidi
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Asymptotic expansions, $L$-values and a new Quantum Modular Form [PDF]
, 2013 In 2010 Zagier introduced the notion of a quantum modular form. One of his first examples was the "strange" function $F(q)$ of Kontsevich. Here we produce a new example of a quantum modular form by making use of some of Ramanujan's mock theta functions ...
Costa, Edgar +2 more
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Koshliakov zeta functions I: Modular relations [PDF]
Advances in Mathematics, 2021 34 pages, submitted for publication; comments are ...
Dixit, Atul, Gupta, Rajat
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Minimal Polynomials of Some Eta-Quotients Evaluated at CM Points
MathematicsWe study certain eta-quotients of weight zero evaluated at CM points of imaginary quadratic orders. Using the theory of extended form class groups, we show that these special values generate the corresponding ring class fields and we provide explicit ...
Ho Yun Jung
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Lattice realizations of unitary minimal modular invariant partition functions [PDF]
, 1995 The conformal spectra of the critical dilute A-D-E lattice models are studied numerically. The results strongly indicate that, in branches 1 and 2, these models provide realizations of the complete A-D-E classification of unitary minimal modular ...
Andrews G E +13 more
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On the modular invariance of mass eigenstates and CP violation [PDF]
, 2001 We investigate the modular transformation properties of observable (light) fields in heterotic orbifolds, in the light of recent calculations of CP-violating quantities.
Dent, Thomas
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On the transcendence degree of the differential field generated by Siegel modular forms
, 2000 It is a classical fact that the elliptic modular functions satisfies an algebraic differential equation of order 3, and none of lower order. We show how this generalizes to Siegel modular functions of arbitrary degree.
Andre Y. +7 more
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