Abstract
Abstract Let Q Q be an integral positive definite quadratic form of level N N in 2 k 2k variables. Further, we assume that ( − 1 ) k N {\left(-1)}^{k}N is a fundamental discriminant. We express the average theta function of Q Q as an explicit sum of Eisenstein series, which are Hecke eigenforms by applying Atkin-Lehner involution.
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