论文标题
卷积和广场我
Convolution and square in abelian groups I
论文作者
论文摘要
我们证明，在奇数d的循环基团上，存在非零函数的卷积平方f*f（2t）与它们的正方形f（t）^2成比例，当比例性常数通过标准二次二次整数d给出，该数字d等于1 Modulo 2。证明涉及theta涉及theta涉及复杂型的Elliptic curvers conffectip corpliptip corpliptip corpectial繁殖。
We prove that on the cyclic groups of odd order d, there exist non zero functions whose convolution square f*f(2t) is proportional to their square f(t)^2 when the proportionality constant is given by an imaginary quadratic integer of norm d which is equal to 1 modulo 2. The proof involves theta functions on elliptic curves with complex multiplication.
