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math.NT2016★ 6 cited
Distribution of class numbers in continued fraction families of real quadratic fields
Alexander Dahl, Vítězslav Kala
We construct a random model to study the distribution of class numbers in special families of real quadratic fields arising from continued fractions. These fam…
math.LO2016
Fermat's Last Theorem and Catalan's Conjecture in Weak Exponential Arithmetics
Petr Glivický, Vítězslav Kala
We study Fermat's Last Theorem and Catalan's conjecture in the context of weak arithmetics with exponentiation. We deal with expansions (B,e) of models of arithmetical theories (in…