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On some generalisations of the Erdős distance problem over finite fields

Published online by Cambridge University Press:  17 April 2009

Igor E. Shparlinski
Igor E. Shparlinski
Affiliation:
Department of Computing, Macquarie University, Sydney, NSW 2109, Australia e-mail [email protected]
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We use exponential sums to obtain new lower bounds on the number of distinct distances defined by all pairs of points (a, b) ∈ A × B for two given sets where is a finite field of q elements and n ≥ 1 is an integer.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 73 , Issue 2 , April 2006 , pp. 285 - 292
Copyright
Copyright © Australian Mathematical Society 2006

References

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