Ergodic Properties of a Complex Continued Fraction Transformation
On irrationality of the values of certain series
Correction to my paper: Arithmetic properties of certain power series with algebraic coefficents
Arithmetic properties of certain power series with algebraic coefficients
Rational approximations to the Rogers-Ramanujan continued fraction
Discrepancy estimates for a class of normal numbers
Normality of numbers generated by the values of polynomials at primes
Algebraic independence results for reciprocal sums of Fibonacci numbers
Approximation of values of hypergeometric functions by restricted rationals
We compute upper and lower bounds for the approximation of hyperbolic functions at points by rationals , such that satisfy a quadratic equation. For instance, all positive integers with solving the Pythagorean equation satisfy Conversely, for every there are infinitely many coprime integers , such that and hold simultaneously for some integer . A generalization to the approximation of for rational functions ...
Algebraic relations for reciprocal sums of Fibonacci numbers
Asymptotic representations for Fibonacci reciprocal sums and Euler’s formulas for zeta values
We present asymptotic representations for certain reciprocal sums of Fibonacci numbers and of Lucas numbers as a parameter tends to a critical value. As limiting cases of our results, we obtain Euler’s formulas for values of zeta functions.
Complexity of sequences defined by billiard in the cube
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