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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.NT2026
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…