论文标题
卷积和平方II
Convolution and square in abelian groups II
论文作者
论文摘要
奇数d的ABELIAN G组的临界值是一个值$λ$,使函数方程f $ \ star $ f(2 t)= $λ$ f(t)^2上的g具有非零溶液f。我们通过使用具有复杂乘法的Abelian品种来构建许多临界值。
A critical value on an abelian group G of odd order d is a value $λ$ such that the functional equation f$\star$f (2 t) = $λ$f (t)^2 on G has a nonzero solution f. We construct many critical values by using abelian varieties with complex multiplication.