Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

On arbitrary products of eigenforms

100%

Kumar A., Meher J.

Acta Arithmetica

2016

tom 173

nr 3

283-295

We characterize all the cases in which products of arbitrary numbers of nearly holomorphic eigenforms and products of arbitrary numbers of quasimodular eigenforms for the full modular group SL₂(ℤ) are again eigenforms.

Asymptotic formulas for the coefficients of certain automorphic functions

100%

Meher J., Deo Shankhadhar K.

Acta Arithmetica

2015

tom 169

nr 1

59-76

We derive asymptotic formulas for the coefficients of certain classes of weakly holomorphic Jacobi forms and weakly holomorphic modular forms (not necessarily of integral weight) without using the circle method. Then two applications of these formulas are given. Namely, we estimate the growth of the Fourier coefficients of two important weak Jacobi forms of index 1 and non-positive weights and obtain an asymptotic formula for the Fourier coefficients of the modular functions $θ^{k}/η^{l}$ for all integers k,l ≥ 1, where θ is the weight 1/2 modular form and η is the Dedekind eta function.

Ograniczanie wyników

2 Acta Arithmetica

2 Meher J.

1 Deo Shankhadhar K.

1 Kumar A.

1 2016

1 2015

Wyniki wyszukiwania

On arbitrary products of eigenforms

Asymptotic formulas for the coefficients of certain automorphic functions