2 papers
math.NT2026
Bounded continued fractions and quadratic orders in $\Q(\sqrt{127})$
Shirali Kadyrov, Aiken Kazin, Alibek Orynbassar +1
We study the least periods and multiplier orders in two constructions of Mercat for continued fractions with bounded partial quotients. Our main explicit result concerns a family i…
math.NT2021
On the solutions of second order difference equations with variable coefficients
Shirali Kadyrov, Alibek Orynbassar
In this article we study solutions to second order linear difference equations with variable coefficients. Under mild conditions we provide closed form solutions using finite conti…