4 papers
Some reciprocity formulas for generalized Dedekind-Rademacher sums
Yuan He, Yong-Guo Shi
In this paper, we study the generalized Dedekind-Rademacher sums considered by Hall, Wilson and Zagier. We establish a formula for the products of two Bernoulli functions. The proo…
The asymptotic power series of three kinds of sequences
Yong-Guo Shi
We present a general method to obtain asymptotic power series for three kinds of sequences. And we give recurrence relations for determining the coefficients of asymptotic power se…
Single-valley-extended solutions with platforms of FKS equation
Yong-Guo Shi
The Feigenbaum-Kadanoff-Shenker (FKS) equation is a nonlinear iterative functional equation, which characterizes the quasiperiodic route to chaos for circle maps. Instead of FKS eq…
Conjugacy problem of strictly monotone maps with only one jump discontinuity
Jinghua Liu, Yong-Guo Shi
The conjugacy problem is one of the central questions in iteration theory. As far as we, for discontinuous strictly monotone maps there is no complete result. In this paper, we inv…