Outputs (2)

Cycles with local coefficients for orthogonal groups and vector-valued Siegel modular forms (2006)
Journal Article
Funke, J., & Millson, J. (2006). Cycles with local coefficients for orthogonal groups and vector-valued Siegel modular forms. American Journal of Mathematics, 128(4), 899-948. https://doi.org/10.1353/ajm.2006.0032

The purpose of this paper is to generalize the relation between intersection numbers of cycles in locally symmetric spaces of orthogonal type and Fourier coefficients of Siegel modular forms to the case where the cycles have local coefficients. Now t... Read More about Cycles with local coefficients for orthogonal groups and vector-valued Siegel modular forms.

Traces of CM values of modular functions (2006)
Journal Article
Bruinier, J., & Funke, J. (2006). Traces of CM values of modular functions. Journal für die reine und angewandte Mathematik, 594, 1-33. https://doi.org/10.1515/crelle.2006.034

Zagier proved that the traces of singular moduli, i.e., the sums of the values of the classical j-invariant over quadratic irrationalities, are the Fourier coefficients of a modular form of weight 3/2 with poles at the cusps. Using the theta correspo... Read More about Traces of CM values of modular functions.