DENOMINATORS OF DEDEKIND SUMS IN FUNCTION FIELDS

作者:Hamahata Yoshinori*
来源:International Journal of Number Theory, 2013, 9(6): 1423-1430.
DOI:10.1142/S1793042113500358

摘要

We consider the Dedekind sum s(a, c) in rational function fields. It is very similar to the classical Dedekind sum D(a, c). The objective of this study is to give a good upper bound of the degree of the denominator of s(a, c). As an application of our result, we present a condition on the elements a(1), a(2), and c of F-q[T] such that s(a(1), c) = s(a(2), c).

  • 出版日期2013-9