most citedMultidimensional Gaussian sums arising from distribution of Birkhoff sums in zero entropy dynamical systems

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nlin.CD2004★ 1 cited

Multidimensional Gaussian sums arising from distribution of Birkhoff sums in zero entropy dynamical systems

M. Bernardo, M. Courbage, T. T. Truong

A duality formula, of the Hardy and Littlewood type for multidimensional Gaussian sums, is proved in order to estimate the asymptotic long time behavior of distribution of Birkhoff…