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- Manabu Oura, Cris Poor, Riccardo Salvati Manni, David S Yuen
- 2009

We complete the program indicated by the Ansatz of D'Hoker and Phong in genus 4 by proving the uniqueness of the restriction to Jacobians of the weight 8 Siegel cusp forms satisfying the Anstaz. We prove dim[Γ 4 (1, 2), 8] 0 = 2 and dim[Γ 4 (1, 2), 8] = 7. In each genus, we classify the linear relations among the self-dual lattices of rank 16. We extend the… (More)

- Cris Poor, David S. Yuen
- Math. Comput.
- 2015

- CRIS POOR, DAVID S. YUEN
- 2006

We give a theoretical lower bound for the slope of a Siegel modular cusp form that is as least as good as Eichler's lower bound. In degrees n = 5, 6 and 7 we show that our new bound is strictly better. In the process we find the forms of smallest dyadic trace on the perfect core for ranks n 8. In degrees n = 5, 6 and 7 we settle the value of the generalized… (More)

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