Uniform Distribution Theory
Journal license

Journal

Uniform Distribution Theory


Volume
& Issue

Volume 8, Issue 1


Published
on

August 1, 2012


Pages

67-72


DOI

Article

Joint Distribution of Discrete Logarithms


Authors

Igor E. Shparlinski Affiliation:
Department of Computing Macquarie University Sydney, NW 2109 AUSTRALIA


Abstract

We improve a recent result by D. J. Gibson on the joint distribution of discrete logarithms modulo a prime p of integers x1, . . . , xr that run inde- pendently through short arithmetic progressions. This improvement is based on an alternative approach, which makes use of bounds of multiplicative character sums.


Keywords

Discrete logarithm, joint distribution, character sums.


Citation

Shparlinski, I. E. (2013). Joint distribution of discrete logarithms. Uniform Distribution Theory, 8(1), 67–72.

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