Let $\Lambda$ be a unimodular lattice in R^d. Then there are constants such that
$$\sum_{\gamma\in \Lambda, |\gamma|<R} \frac{1}{|\gamma|^d} = c_1 \log R + c_2 + o(1)$$
My question is : does $c_2$ depend on the lattice ? If yes, how ?
what is the equivalent of the Euler constant for higher dimensional lattices
Yannick Bonthonneau
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