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19982011
most citedThe fluctuations in the number of points on a hyperelliptic curve over a finite field

5 citations · 7 across the 10 of their papers we have counts for

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Showing 2006 · math.NTShow all

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math.NT2006

Poisson spacing statistics for value sets of polynomials

P. Kurlberg

If f is a polynomial with integer coefficients and q is an integer, we may regard f as a map from Z/qZ to Z/qZ. We show that the distribution of the (normalized) spacings between c…

math.NT2006

Bounds on supremum norms for Hecke eigenfunctions of quantized cat maps

Par Kurlberg

We study extreme values of desymmetrized eigenfunctions (so called Hecke eigenfunctions) for the quantized cat map, a quantization of a hyperbolic linear map of the torus. In a pre…