J. Bruinier

activity

20022011

L

-functions and harmonic weak Maass forms

32 citations · 59 across the 16 of their papers we have counts for

collaborators

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2 papers · 1 filter

math.NT2008

Faltings heights of CM cycles and derivatives of L-functions

Jan Hendrik Bruinier, Tonghai Yang

We study the Faltings height pairing of arithmetic Heegner divisors and CM cycles on Shimura varieties associated to orthogonal groups. We compute the Archimedian contribution to t…

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…