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VISIBLE POINTS ON EXPONENTIAL CURVES

Part of: Sequences and sets Elementary number theory

Published online by Cambridge University Press:  07 March 2018

SIMON MACOURT Open the ORCID record for SIMON MACOURT [Opens in a new window]
SIMON MACOURT*
Affiliation:
Department of Pure Mathematics, University of New South Wales, Sydney, NSW 2052, Australia email s.macourt@student.unsw.edu.au
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Abstract

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We provide two new bounds on the number of visible points on exponential curves modulo a prime for all choices of primes. We also provide one new bound on the number of visible points on exponential curves modulo a prime for almost all primes.

Keywords

exponential curvevisible points

MSC classification

Primary: 11A07: Congruences; primitive roots; residue systems
Secondary: 11B30: Arithmetic combinatorics; higher degree uniformity
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 97 , Issue 3 , June 2018 , pp. 353 - 359
Copyright
© 2018 Australian Mathematical Publishing Association Inc. 

References

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