Notes sur la théorie des fractions continues et sur certaines séries.
Nový řetězec pro číslo
O přibližných hodnotách řetězce se stálým jmenovatelem
O přidružených zlomcích přibližných a jich upotřebení
On a Conjecture of Zaremba.
On arithmetic properties of the convergents of Euler's number
On certain continued fraction expansions of fixed period length
On certain statistical properties of continued fractions with even and with odd partial quotients
On Dispersion and Markov Constants.
On Eisenstein's problem
On fundamental solutions of binary quadratic form equations
We show that, with suitable modification, the upper bound estimates of Stolt for the fundamental integer solutions of the Diophantine equation Au²+Buv+Cv²=N, where A>0, N≠0 and B²-4AC is positive and nonsquare, in fact characterize the fundamental solutions. As a corollary, we get a corresponding result for the equation u²-dv²=N, where d is positive and nonsquare, in which case the upper bound estimates were obtained by Nagell and Chebyshev.
On generalization of continued fraction of Gauss.
On Hurwitzian and Tasoev's continued fractions
On numbers containing each block infinitely often.
On prime-detecting sequences from Apéry's recurrence formulae for and .
On Ramanujan's continued fraction
On Ramanujan's cubic continued fraction
On Shanks' algorithm for computing the continued fraction of .
On Tate-Shafarevich groups of .
On the average growth of random Fibonacci sequences.