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In this paper we give an exact formula for the Fourier coefficients of the Jacobi-Eisenstein series of square free discriminant lattice index. For a special case the discriminant of lattice is prime we show that the Jacobi-Eisenstein series corresponds to a well known Eisenstein series of modular forms.
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참고문헌 (7)
참고문헌 신청
A. Ajouz / 2015 / Hecke operators on Jacobi forms of lattice index and the relation to elliptic modular forms
Jan Hendrik Bruinier / 2003 / On Borcherds products associated with lattices of prime discriminant / The Ramanujan Journal 7(1/3):49~61
Jan Hendrik Bruinier / 2001 / Eisenstein series attached to lattices¶and modular forms on orthogonal groups / manuscripta mathematica 106(4):443~459
J. H. Conway / 1999 / Sphere Packings, Lattices and Groups / Springer-Verlag
M. Eichler / 1985 / The theory of Jacobi forms / Birkhauser Boston, Inc
Jan Hendrik Bruinier / 2003 / On Borcherds products associated with lattices of prime discriminant / The Ramanujan Journal 7(1/3):49~61
Jan Hendrik Bruinier / 2001 / Eisenstein series attached to lattices¶and modular forms on orthogonal groups / manuscripta mathematica 106(4):443~459
J. H. Conway / 1999 / Sphere Packings, Lattices and Groups / Springer-Verlag
M. Eichler / 1985 / The theory of Jacobi forms / Birkhauser Boston, Inc
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