The Bergé–martinet Constant and Slopes of Siegel Cusp Forms
نویسندگان
چکیده
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 Hermite constant γ′ n introduced by Bergé and Martinet and find all dual-critical pairs.
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