8 citations · 16 across the 20 of their papers we have counts for
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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…
Infinitely Many Off-Critical-Line Zeros of the Tempered Xi Function: A Disproof of Yang's Conjecture
Aiken Kazin, Shirali Kadyrov
Yang introduced a tempered xi function by replacing the hyperbolic cosine in a classical integral representation of the Riemann xi function by a hyperbolic sine, and…
Effective Intrinsic Ergodicity for renewal-type potentials on S-gap shifts
Farhod Haydarov, Shirali Kadyrov, Mirmukhsin Makhmudov +1
We establish effective intrinsic ergodicity for renewal-type potentials on one-sided \(S\)-gap shifts. Inducing on the one-symbol cylinder \([1]\) reduces the system to a full shif…
Limit-Cycle Replication via Chebyshev Pullbacks and a Quadratic Ceiling for Separable Schemes
Olimjon Eshkobilov, Shirali Kadyrov, Khudoyor Mamayusupov
Let \(H(n)\) denote the Hilbert number, i.e.\ the maximal number of limit cycles of planar polynomial vector fields of degree \(\le n\). A classical lower-bound mechanism for \(H(n…