Nonnormality of Stoneham constants

• Published in: The Ramanujan journal Vol. 29; no. 1-3; pp. 409 - 422
• Main Authors: Bailey, David H., Borwein, Jonathan M.
• Format: Journal Article
• Language: English
• Published: Boston Springer US 01.12.2012
• Subjects: Combinatorics; Field Theory and Polynomials; Fourier Analysis; Functions of a Complex Variable; Mathematics; Mathematics and Statistics; Number Theory; 11K31; Normality of sums; 11K16; Normality of irrational numbers; Nonnormality of irrational numbers; Stoneham numbers

This paper examines “Stoneham constants,” namely real numbers of the form , for coprime integers b ≥2 and c ≥2. These are of interest because, according to previous studies, α b , c is known to be b -normal, meaning that every m -long string of base- b digits appears in the base- b expansion of the...