Collisions of digit sums in bases 2 and 3

DOI10.1007/s11856-023-2478-8MaRDI QIDQ6584683

Lukas Spiegelhofer

Publication date: 8 August 2024

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Large deviations (60F10) Radix representation; digital problems (11A63) Arithmetic progressions (11B25) Sequences (mod (m)) (11B50)

Cites Work

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• On the irrationality measure of \(\log 3\)
• On the digits of shifted primes
• The sum of digits of squares
• On the representation of Fibonacci and Lucas numbers in an integer base
• Prime numbers in two bases
• On divisors of binomial coefficients. I
• Prime numbers along Rudin-Shapiro sequences
• S-unit equations over number fields
• Linear equations in integers with bounded sum of digits
• On a problem of Gelfond: the sum of digits of prime numbers
• The sum of digits of primes in \(\mathbb Z[i\)]
• Sur les entiers qui s'écrivent simplement en différentes bases. (On integers simply represented in different bases)
• The ring of \(k\)-regular sequences
• On the joint distribution of \(q\)-additive functions in residue classes
• The ring of \(k\)-regular sequences. II.
• On the Diophantine equation \(p^{x_1} - p^{x_2} = q^{y_1} - q^{y_2}\)
• Automatic sequences fulfill the Sarnak conjecture
• Normality along squares
• On Furstenberg's intersection conjecture, self-similar measures, and the \(L^q\) norms of convolutions
• Generalized Thue-Morse sequences of squares
• On digits of Mersenne numbers
• A proof of Furstenberg's conjecture on the intersections of \(\times p\)- and \(\times q\)-invariant sets
• Sum of digits and change of base
• Primes with restricted digits
• PV-numbers and sets of multiplicity
• On the distribution in residue classes of integers with a fixed sum of digits
• Sur le septième problème de D. Hilbert.
• Sur le septième Problème de Hilbert.
• The joint distribution of q-additive functions
• On a problem of Chen and Liu concerning the prime power factorization of 𝑛!
• Théorème des nombres premiers pour les fonctions digitales
• Primes with an average sum of digits
• Ternary expansions of powers of 2
• On the representation of an integer in two different bases.
• Some Unconventional Problems in Number Theory
• On the arithmetic structure of the integers whose sum of digits is fixed
• The Rudin–Shapiro Sequence and Similar Sequences Are Normal Along Squares
• PROPRIÉTÉS LOCALES DES CHIFFRES DES NOMBRES PREMIERS
• Sums of the Digits in Bases 2 and 3
• Rudin–Shapiro sequences along squares
• Explicit bounds on exponential sums and the scarcity of squarefree binomial coefficients
• A lower bound for Cusick’s conjecture on the digits of n + t
• The level of distribution of the Thue–Morse sequence
• Effective results for linear equations in members of two recurrence sequences
• On The diophantine equationFn+F_m=2^a
• Fonctions digitales le long des nombres premiers
• Sur les nombres qui ont des propriétés additives et multiplicatives données
• Linear forms in the logarithms of algebraic numbers
• Linear forms in the logarithms of algebraic numbers (II)
• Linear forms in the logarithms of algebraic numbers (III)
• Indépendance statistique d'ensembles liés à la fonction "somme des chiffres"
• On the numeration system of Ostrowski
• A new proof of Nishioka's theorem in Mahler's method
• The binary digits of n+t

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