Results 1 to 10 of about 8,982 (113)
Half-integral weight p-adic coupling of weakly holomorphic and holomorphic modular forms [PDF]
Research in Number Theory, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kathrin Bringmann +2 more
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Scalar‐valued depth two Eichler–Shimura integrals of cusp forms
Transactions of the London Mathematical Society, 2023 Given cusp forms f and g of integral weight k⩾2, the depth two holomorphic iterated Eichler–Shimura integral If,g is defined by ∫τi∞f(z)(X−z)k−2Ig(z;Y)dz, where Ig is the Eichler integral of g and X,Y are formal variables.
Tobias Magnusson, Martin Raum
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Analogues of the Bol operator for half-integral weight weakly holomorphic modular forms
Proceedings of the American Mathematical Society, 2023 We define an analogue of the Bol operator on spaces of weakly holomorphic modular forms of half-integral weight. We establish its main properties and relation with other objects.
Diamantis, Nikolaos +2 more
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p-Adic limit of the Fourier coefficients of weakly holomorphic modular forms of half integral weight [PDF]
Israel Journal of Mathematics, 2010 From the authors' abstract: Serre obtained the \(p\)-adic limit of the integral Fourier coefficients of modular forms on \(\text{SL}_2(\mathbb Z)\) for \(p=2,3,5,7\). In this paper, we extend the result of Serre to weakly holomorphic modular forms of half integral weight on \(\Gamma_0(4N)\) for \(N=1,2,4\).
Choi, D, Choie, Y
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On cycle integrals of weakly holomorphic modular forms [PDF]
, 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.
Bringmann, Kathrin +2 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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Weakly holomorphic modular forms of half-integral weight with nonvanishing constant terms modulo $\ell $ [PDF]
Transactions of the American Mathematical Society, 2009 Summary: Let \( \ell\) be a prime and \( \lambda,j\geq 0\) be an integer. Suppose that \( f(z)=\sum_{n}a(n)q^n\) is a weakly holomorphic modular form of weight \( \lambda+\frac{1}{2}\) and that \( a(0)\not \equiv 0 \pmod{\ell}\). We prove that if the coefficients of \( f(z)\) are not ``well-distributed'' modulo \( \ell^j\), then \[ \lambda=0\text{ or }
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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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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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