ON THE BITS COUNTING FUNCTION OF REAL NUMBERS

DOI10.1017/S1446788708000591zbMath1234.11099MaRDI QIDQ3549357

Tanguy Rivoal

Publication date: 22 December 2008

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

algebraic numbersbinary expansions

Mathematics Subject Classification ID

Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Approximation to algebraic numbers (11J68)

Related Items (12)

Extremality Properties of Some Diophantine Series ⋮ On a question of Mendès France on normal numbers ⋮ On the size of a restricted sumset with application to the binary expansion of √d ⋮ Combinatorial constructions for the Zeckendorf sum of digits of polynomial values ⋮ Rational approximation to values of \(G\)-functions, and their expansions in integer bases ⋮ ON THE BINARY DIGITS OF ALGEBRAIC NUMBERS ⋮ On the \(b\)-ary expansion of an algebraic number ⋮ On the binary expansion of irrational algebraic numbers ⋮ On the binary digits of $\sqrt{2}$ ⋮ Stolarsky’s conjecture and the sum of digits of polynomial values ⋮ Sums of digits in q-ary expansions ⋮ On the beta-expansions of 1 and algebraic numbers for a Salem number beta

Cites Work

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• Convergents and irrationality measures of logarithms
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• On the complexity of algebraic numbers
• Mahler functions and transcendence
• On the binary expansions of algebraic numbers
• Irrationalitätsmaße für \(e^ a , a \neq 0\) rational oder Liouville-Zahl
• An "Oceans of Zeros" Proof That a Certain Non-Liouville Number is Transcendental
• The Binary Digits of a Power
• Automatic Sequences

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