On 3rd and 4th moments of finite upper half plane graphs

Abstract

Terras [A. Terras, Fourier Analysis on Finite Groups and Applications, Cambridge Univ. Press, 1999] gave a conjecture on the distribution of the eigenvalues of finite upper half plane graphs. This is known as a finite analogue of Sato–Tate conjecture. There are several modified versions of them. In this paper, we show that this conjecture is not correct in… (More)
DOI: 10.1016/j.ffa.2005.09.008

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