Continued fractions, Fibonacci numbers, and some classes of irrational numbers.
Continued fractions for finite sums
Continued fractions for some algebraic numbers.
Continued fractions of period five and real quadratic fields of class number one
Continuous fractions and reduced algebraic formal power series. (Fractions continues et séries formelles algébriques réduites.)
Contribution à la théorie des résidus cubiques et biquadratiques
Contribution à la théorie des résidus cubiques et biquadratiques
Convergence of series of dilated functions and spectral norms of GCD matrices
We establish a connection between the L² norm of sums of dilated functions whose jth Fourier coefficients are for some α ∈ (1/2,1), and the spectral norms of certain greatest common divisor (GCD) matrices. Utilizing recent bounds for these spectral norms, we obtain sharp conditions for the convergence in L² and for the almost everywhere convergence of series of dilated functions.
Convergents of folded continued fractions
Coprimality of integers in Piatetski-Shapiro sequences
We use the estimation of the number of integers such that belongs to an arithmetic progression to study the coprimality of integers in , , .
Correction to our paper 'On the average order of an arithmetical function'
Correction to the paper: On the sum-of-Divisors Function of the numbers of Fermat and Ferentinou-Nicolacopoulou
Corrections to the paper "Quasiperfect numbers"
Corrigendum : “Complexity of infinite words associated with beta-expansions”
We add a sufficient condition for validity of Propo- sition 4.10 in the paper Frougny et al. (2004). This condition is not a necessary one, it is nevertheless convenient, since anyway most of the statements in the paper Frougny et al. (2004) use it.
Corrigendum: Complexity of infinite words associated with beta-expansions
We add a sufficient condition for validity of Propo- sition 4.10 in the paper Frougny et al. (2004). This condition is not a necessary one, it is nevertheless convenient, since anyway most of the statements in the paper Frougny et al. (2004) use it.
Corrigendum to “Congruences for certain binomial sums”
Theorem 1 of J.-J. Lee, Congruences for certain binomial sums. Czech. Math. J. 63 (2013), 65–71, is incorrect as it stands. We correct this here. The final result is changed, but the essential idea of above mentioned paper remains valid.
Corrigendum to “On short sums of certain multiplicative functions”.
Counting Keith numbers.
Counting optimal joint digit expansions.
Counting with Gauss' sums.