TY - JOUR
T1 - Evaluation of Some Sums of Polynomials in Fq[t]
AU - Diene, Adama
N1 - Funding Information:
An earlier version of this paper was presented in 12th Annual International Conference on Mathematics and Statistics: Teaching, Theory and Applications, which took place in July 2018 in Athens, Greece. The author would like to sincerely thank and encourage the three undergraduate students (Tas-nim I. Kreishan, Nada M. Alsereidi, and Fatima A. Albreiki) for their involvement in the project during the summer and fall 2017. The author is also very grateful to the Research and Sponsored Office at the United Arab Emirates University for accepting to fund this project. This work was supported by the Summer Undergraduate Research Program [SURE PLUS 2017] at the United Arab Emirates University [Grant 31S267 (G00002400)].
Publisher Copyright:
© 2019 Adama Diene.
PY - 2019
Y1 - 2019
N2 - We prove the polynomial analogues of some Liouville identities from elementary number theory. Consequently several sums defined over the finite fields Fq[t] are evaluated by combining the results obtained and some of the results from sums of reciprocals of polynomials over Fq[t].
AB - We prove the polynomial analogues of some Liouville identities from elementary number theory. Consequently several sums defined over the finite fields Fq[t] are evaluated by combining the results obtained and some of the results from sums of reciprocals of polynomials over Fq[t].
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U2 - 10.1155/2019/2896847
DO - 10.1155/2019/2896847
M3 - Article
AN - SCOPUS:85069767957
SN - 1110-757X
VL - 2019
JO - Journal of Applied Mathematics
JF - Journal of Applied Mathematics
M1 - 2896847
ER -