Abstract
We prove that the mean value of the real parts of the nontrivial zeros of the Epstein zeta-function 
associated with a positive definite quadratic form 
in n variables is equal to 
. Furthermore, we show that Epstein zeta-functions in general have an asymmetric zero-distribution with respect to the critical line Re 
.
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Steuding, J. On the zero-distribution of Epstein zeta-functions. Math. Ann. 333, 689–697 (2005). https://doi.org/10.1007/s00208-005-0695-6
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DOI: https://doi.org/10.1007/s00208-005-0695-6