Analogues of the Bol operator for half-integral weight weakly holomorphic modular forms
Proceedings of the American Mathematical Society, 2022 We define an analogue of the Bol operator on spaces of weakly holomorphic modular forms of half-integral weight.
Lee, M. +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, 2018 Serre obtained the p-adic limit of the integral Fourier coefficients of modular forms on SL (2)(a"currency sign) 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 I"(0)(4N) for
Choi, D, Choie, Y
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On coefficients of Poincaré series and single-valued periods of modular forms [PDF]
Res Math Sci, 2020 We prove that the field generated by the Fourier coefficients of weakly holomorphic Poincaré series of a given level 0() and integral weight ≥2 coincides with the field generated by the single-valued periods of a certain motive attached to 0().
Jardim Da Fonseca, Tiago
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On cycle integrals of weakly holomorphic modular forms [PDF]
, 2015 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.
Kane, B. +11 more
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A Burgess-like subconvex bound for twisted L-functions [PDF]
, 2007 Let g be a cuspidal newform (holomorphic or Maass) of arbitrary level and nebentypus, X a primitive character of conductor q, and s a point on the critical line Rs = 1/2.
Michel, Philippe +6 more
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Weakly holomorphic modular forms of half-integral weight with nonvanishing constant terms modulo ℓ [PDF]
Transactions of the American Mathematical Society, 2009 Let ℓ \ell be a prime and
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Congruences for Fourier coefficients of half integral weight modular forms and special values of L-functions [PDF]
, 1996 Congruences for Fourier coefficients of integer weight modular forms have been the focal point of a number of investigations. In this note we shall ex-hibit congruences for Fourier coefficients of a slightly different type.
Antal Balog, Henri Darmon, Ken Ono
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Linear dependence of certain L-values of half-integral weight modular forms [PDF]
, 2009 For two holomorphic modular forms h1(z) = 1∑ m=
Hidenori Katsurada +3 more
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$p$-adic Limit of Weakly Holomorphic Modular Forms of Half Integral Weight
, 2007 Serre obtained the p-adic limit of the integral Fourier coefficient of modular forms on $SL_2(\mathbb{Z})$ 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 $Γ_{0}(4N)$ for $N=1,2,4$.
Choi, Dohoon, Choie, YoungJu
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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.
Guerzhoy, P +5 more
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