Results 21 to 30 of about 162 (133)
Regularized inner products and weakly holomorphic Hecke eigenforms [PDF]
, 2017 An interpretation of Guerzhoy's integral weight weakly holomorphic Hecke eigenforms via regularized inner products is given in this paper. In particular, Guerzhoy's eigenforms are eigenvectors in the quotient space of weakly holomorphic modular forms ...
Bringmann, K +5 more
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ZAGIER DUALITY FOR HARMONIC WEAK MAASS FORMS OF INTEGRAL WEIGHT
, 2019 We show the existence of "Zagier duality" between vector valued harmonic weak Maass forms and vector valued weakly holomorphic modular forms of integral weight.
Cho, B, Choie, Y
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, 2018 We define canonical real analytic versions of modular forms of integral weight for the full modular group, generalising real analytic Eisenstein series. They are harmonic Maass waveforms with poles at the cusp, whose Fourier coefficients involve periods ...
Brown, Francis, Brown, FCS
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Basis Decompositions and a Mathematica Package for Modular Graph Forms
, 2021 Modular graph forms (MGFs) are a class of non-holomorphic modular forms which naturally appear in the low-energy expansion of closed-string genus-one amplitudes and have generated considerable interest from pure mathematicians.
Gerken, J.
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Mock modular Eisenstein series with Nebentypus [PDF]
, 2021 By the theory of Eisenstein series, generating functions of various divisor functions arise as modular forms. It is natural to ask whether further divisor functions arise systematically in the theory of mock modular forms.
Mertens, Michael H +2 more
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Petersson inner products of weight-one modular forms
, 2019 In this paper we study the regularized Petersson product between a holomorphic theta series associated to a positive definite binary quadratic form and a weakly holomorphic weight-one modular form with integral Fourier coefficients.
Viazovska, Maryna
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ON CYCLE INTEGRALS OF WEAKLY HOLOMORPHIC MODULAR FORMS
, 2020 . 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.
Kathrin Bringmann +2 more
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On harmonic weak Maass forms of half integral weight
, 2019 Since Zwegers found a connection between mock theta functions and harmonic weak Maass forms, this subject has been of vast research interest. In this paper, we obtain isomorphisms among the space H-k+1/2(+) (Gamma(0)(4m)) of (scalar valued) harmonic weak
Choie, Y, Bumkyu Cho
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Solvability of invariant systems of differential equations on H2$\mathbb {H}^2$ and beyond
Mathematische Nachrichten, Volume 299, Issue 2, Page 456-479, February 2026.Abstract We show how the Fourier transform for distributional sections of vector bundles over symmetric spaces of non‐compact type G/K$G/K$ can be used for questions of solvability of systems of invariant differential equations in analogy to Hörmander's proof of the Ehrenpreis–Malgrange theorem.
Martin Olbrich, Guendalina Palmirotta
wiley +1 more source
Modular forms of small weight and their applications
, 2017 In number theory, as well as many areas in mathematics, modular forms (or in general, automorphic forms) are powerful tools which have many applications. In this thesis, the author focuses on modular forms of small weight and their applications.
馮競鏘, Fung, King-cheong
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