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On the error term in Weyl's law for the Heisenberg manifolds by Zhai, Wenguang is a scholarly article available to read on EtoBox.

What is On the error term in Weyl's law for the Heisenberg manifolds about?

For a fixed integer $l\geq 1$, let $R(t)$ denote the error term in the Weyl's law of a $(2l+1)$-dimensional Heisenberg manifold with the metric $g_l.$ In this paper we shall prove the asymptotic formula of the $k$-th power moment for any integers $3\leq k\leq 9.$ We shall also prove that the function $t^{-(l-1/4)}R(t)$ has a distribution function.

Author

Zhai, Wenguang

Published

2008

Language

EN