arXiv Analytics

Sign in

arXiv:1604.01007 [math.NT]AbstractReferencesReviewsResources

On period polynomials of degree $2^m$ for finite fields

Ioulia N. Baoulina

Published 2016-04-04Version 1

We obtain explicit factorizations of reduced period polynomials of degree $2^m$, $m\ge 4$, for finite fields of characteristic $p\equiv 3$ or $5\pmod{8}$. This extends the results of G. Myerson, who considered the cases $m=1$ and $m=2$, and S. Gurak, who studied the case $m=3$.

Comments: 16 pages
Categories: math.NT
Subjects: 11L05, 11T22, 11T24
Related articles: Most relevant | Search more
arXiv:1108.1763 [math.NT] (Published 2011-08-08, updated 2012-05-13)
Graphs associated with the map $x \mapsto x + x^{-1}$ in finite fields of characteristic three
arXiv:1107.4565 [math.NT] (Published 2011-07-22, updated 2011-08-30)
Graphs associated with the map $x \mapsto x+x^{-1}$ in finite fields of characteristic two
arXiv:1304.0521 [math.NT] (Published 2013-04-02, updated 2014-07-01)
The Number of Irreducible Polynomials over Finite Fields of Characteristic 2 with Given Trace and Subtrace

Links

Toolbox