A formula for generating weakly modular forms with weight 12 | Zendy

Aykut Ahmet Aygunes | Zendy

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A formula for generating weakly modular forms with weight 12

Author(s) -

Aykut Ahmet Aygunes

Publication year - 2016

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1604001a

Subject(s) - mathematics , modular form , eisenstein series , modular design , pure mathematics , generating function , function (biology) , weight function , series (stratigraphy) , algebra over a field , discrete mathematics , mathematical analysis , paleontology , evolutionary biology , computer science , biology , operating system

In this short paper, generally, we define a family of functions fk depends on the Eisenstein series with weight 2k, for k2 N. More detail, by considering the function fk, we define a derivative formula for generating weakly modular forms with weight 12. As a result for this, we claim that this formula gives an advantage to find the special solutions of some di erential equations.

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