Jan Hendrik Bruinier

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math.NT2008

Differential operators for harmonic weak Maass forms and the vanishing of Hecke eigenvalues

Jan H. Bruinier, Ken Ono, Robert C. Rhoades

For integers $k \geq 2$ , we study two differential operators on harmonic weak Maass forms of weight $2 - k$ . The operator $ξ_{2 - k}$ (resp. $D^{k - 1}$ ) defines a map to the space of wei…

math.NT2007★ 32 cited

Heegner divisors, $L$ -functions and harmonic weak Maass forms

Jan H. Bruinier, Ken Ono

Recent works, mostly related to Ramanujan's mock theta functions, make use of the fact that harmonic weak Maass forms can be combinatorial generating functions. Generalizing works…

math.NT2006

Hilbert modular forms and their applications

Jan Hendrik Bruinier

The present notes contain the material of the lectures given by the author at the summer school on ``Modular Forms and their Applications'' at the Sophus Lie Conference Center in t…

Differential operators for harmonic weak Maass forms and the vanishing of Hecke eigenvalues

Heegner divisors, L-functions and harmonic weak Maass forms

Hilbert modular forms and their applications

Heegner divisors, $L$ -functions and harmonic weak Maass forms