Results 41 to 50 of about 3,783 (150)
Linear relations between modular forms for Г0+(p)
Open Mathematics, 2015 We find linear relations among the Fourier coefficients of modular forms for the group Г0+(p) of genus zero. As an application of these linear relations, we derive congruence relations satisfied by the Fourier coefficients of normalized Hecke eigenforms.
Choi SoYoung, Kim Chang Heon
doaj +1 more source
Algebraic formulas for the coefficients of mock theta functions and Weyl vectors of Borcherds products [PDF]
, 2017 We present some applications of the Kudla-Millson and the Millson theta lift. The two lifts map weakly holomorphic modular functions to vector valued harmonic Maass forms of weight $3/2$ and $1/2$, respectively.
Bruinier, Jan Hendrik +1 more
core +1 more source
On the algebraicity of coefficients of half-integral weight mock modular forms
Open Mathematics, 2018 Extending works of Ono and Boylan to the half-integral weight case, we relate the algebraicity of Fourier coefficients of half-integral weight mock modular forms to the vanishing of Fourier coefficients of their shadows.
Choi SoYoung, Kim Chang Heon
doaj +1 more source
Duality and differential operators for harmonic Maass forms [PDF]
, 2013 Due to the graded ring nature of classical modular forms, there are many interesting relations between the coefficients of different modular forms. We discuss additional relations arising from Duality, Borcherds products, theta lifts.
Bringmann, K, Kane, B, Rhoades, RC
core +1 more source
Regularized inner products and errors of modularity [PDF]
, 2016 We develop a regularization for Petersson inner products of arbitrary weakly holomorphic modular forms, generalizing several known regularizations. As one application, we extend work of Duke, Imamoglu, and Toth on regularized inner products of weakly ...
Alfes +11 more
core +2 more sources
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
core +2 more sources
Zeros of certain weakly holomorphic modular forms for the Fricke group ${\varGamma }_0^+(3)$
Acta Arithmetica, 2021 Comment: 19 ...
Hanamoto, Seiichi, Kuga, Seiji
openaire +2 more sources
Open Mathematics, 2019 After the significant work of Zagier on the traces of singular moduli, Jeon, Kang and Kim showed that the Galois traces of real-valued class invariants given in terms of the singular values of the classical Weber functions can be identified with the ...
Eum Ick Sun, Jung Ho Yun
doaj +1 more source
Zeros of modular forms of half integral weight [PDF]
, 2016 We study canonical bases for spaces of weakly holomorphic modular forms of level 4 and weights in $\mathbb{Z}+\frac{1}{2}$ and show that almost all modular forms in these bases have the property that many of their zeros in a fundamental domain for ...
Folsom, Amanda, Jenkins, Paul
core +2 more sources
Algebraic de Rham theory for weakly holomorphic modular forms of level one [PDF]
Algebra & Number Theory, 2018 We establish an Eichler-Shimura isomorphism for weakly modular forms of level one. We do this by relating weakly modular forms with rational Fourier coefficients to the algebraic de Rham cohomology of the modular curve with twisted coefficients. This leads to formulae for the periods and quasi-periods of modular forms.
Brown, Francis, Hain, Richard
openaire +4 more sources