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DERIVATIVE FORMULAE FOR MODULAR FORMS AND THEIR PROPERTIES
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 Title & Authors
DERIVATIVE FORMULAE FOR MODULAR FORMS AND THEIR PROPERTIES
Aygunes, Aykut Ahmet;
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 Abstract
In this paper, by using the modular forms of weight nk ( and ), we construct a formula which generates modular forms of weight 2nk+4. This formula consist of some known results in [14] and [4]. Moreover, we obtain Fourier expansion of these modular forms. We also give some properties of an operator related to the derivative formula. Finally, by using the function , we obtain the Fourier coefficients of modular forms with weight 4.
 Keywords
Eisenstein series;modular forms;cusp forms;Fourier series;operators;derivative formula;theta function;Jacobi theta function;
 Language
English
 Cited by
 References
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