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Abstract
For an integer r, a prime power q and a polynomial f over a finite field F_{q} ^{r} of q^{r} elements, we obtain an upper bound on the frequency of elements in an orbit generated by iterations of f which fall in a proper subfield of F_{q} ^{r} . We also obtain similar results for elements in affine subspaces of F_{q} ^{r} , considered as a linear space over F_{q}.
Original language  English 

Pages (fromto)  693706 
Number of pages  14 
Journal  Quarterly Journal of Mathematics 
Volume  66 
Issue number  2 
DOIs  
Publication status  Published  2015 
Externally published  Yes 
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Dive into the research topics of 'Polynomial values in subfields and affine subspaces of finite fields'. Together they form a unique fingerprint.Projects
 1 Finished

New Applications of Additive Combinatorics in Number Theory and Graph Theory
Mans, B., Shparlinski, I., MQRES, M. & PhD Contribution (ARC), P. C. (.
1/01/14 → 31/12/17
Project: Research