Article
On the Distribution of the Values of Multivariate Rational Functions
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Abstract
We investigate the distribution of the values taken by multivari- ate rational functions with integral coefficients in different directions. Firstly we consider the problem of estimating the maximum of a nonnegative multivariate polynomial on the n-dimensional hypercube [0, 1]n in terms of the arithmetical properties of the exponents of their constituting monomials. Secondly we are in- terested by the distribution of the values of expander polynomials in prime fields. And finally we focus on some multivariate covering rational functions on prime fields.
Keywords
Uniform distribution, expanders.
Citation
Hegyvari, N. & Hennecart, F. (2014). On the distribution of the values of multivariate rational functions. Uniform Distribution Theory, 9(2), 103–123.
N. Hegyvari and F. Hennecart, “On the distribution of the values of multivariate rational functions,” Uniform Distribution Theory, vol. 9, no. 2, pp. 103–123, 2014.
Hegyvari N, Hennecart F. On the distribution of the values of multivariate rational functions. Uniform Distribution Theory. 2014;9(2):103–123.
Hegyvari, N. and Hennecart, F. (2014), ‘On the distribution of the values of multivariate rational functions’, Uniform Distribution Theory, 9(2), pp. 103–123.
Hegyvari, Norbert, and Francois Hennecart. “On the Distribution of the Values of Multivariate Rational Functions.” Uniform Distribution Theory, vol. 9, no. 2, 2014, pp. 103–123.
Hegyvari, Norbert, and Francois Hennecart. “On the Distribution of the Values of Multivariate Rational Functions.” Uniform Distribution Theory 9, no. 2 (2014): 103–123.
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Published by: Engineering Journals
