Results 11 to 20 of about 10,568 (138)
On cycle integrals of weakly holomorphic modular forms [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2014 In this paper, we investigate cycle integrals of weakly holomorphic modular forms. We show that these integrals coincide with the cycle integrals of classical cusp forms.
K. Bringmann, P. Guerzhoy, B. Kane
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On Fourier coefficients of modular forms of half integral weight at squarefree integers [PDF]
Mathematische Zeitschrift, 2016 We show that the Dirichlet series associated to the Fourier coefficients of a half-integral weight Hecke eigenform at squarefree integers extends analytically to a holomorphic function in the half-plane Res>12\documentclass[12pt]{minimal} \usepackage ...
Y.-J. Jiang +4 more
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Shintani lifts and fractional derivatives for harmonic weak Maass forms [PDF]
, 2014 In this paper, we construct Shintani lifts from integral weight weakly holomorphic modular forms to half-integral weight weakly holomorphic modular forms.
Bringmann, Kathrin +2 more
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, 2016 We describe an implementation for computing holomorphic and skew-holomorphic Jacobi forms of integral weight and scalar index on the full modular group. This implementation is based on formulas derived by one of the authors which express Jacobi forms in ...
Ryan, Nathan C. +3 more
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Faber polynomials and poincare series [PDF]
, 2011 In this paper we consider weakly holomorphic modular forms (i.e., those meromorphic modular forms for which poles only possibly occur at the cusps) of weight 2−k∈2\Z for the full modular group \SL2(\Z).
Kane, B
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Eichler integrals and harmonic weak Maass forms [PDF]
, 2013 Recently, K. Bringmann, P. Guerzhoy, Z. Kent and K. Ono studied the connection between Eichler integrals and the holomorphic parts of harmonic weak Maass forms on the full modular group.
Choi, Dohoon +2 more
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Regularized inner products of meromorphic modular forms and higher Green's functions [PDF]
, 2018 In this paper we study generalizations of quadratic form Poincar\'e series, which naturally occur as outputs of theta lifts. Integrating against them yields evaluations of higher Green's functions.
Bringmann, Kathrin +2 more
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The twisted second moment of modular half-integral weight $L$-functions [PDF]
Journal of the European Mathematical Society (Print), 2019 Given a half-integral weight holomorphic Kohnen newform f on \Gamma_{0}(4) , we prove an asymptotic formula for large primes p with power saving error term for \sum_{\chi \pmod{p}}^{\qquad{}{}_{\scriptsize{*}}}| L(1/2,f,\chi) |^{
Alexander Dunn, A. Zaharescu
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Rankin-Selberg methods for closed strings on orbifolds [PDF]
, 2013 In recent work we have developed a new unfolding method for computing one-loop modular integrals in string theory involving the Narain partition function and, possibly, a weak almost holomorphic elliptic genus. Unlike the traditional approach, the Narain
Angelantonj, Carlo +2 more
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One-Loop BPS amplitudes as BPS-state sums [PDF]
, 2012 Recently, we introduced a new procedure for computing a class of one-loop BPS-saturated amplitudes in String Theory, which expresses them as a sum of one-loop contributions of all perturbative BPS states in a manifestly T-duality invariant fashion.
Angelantonj, Carlo +2 more
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