On the distribution of the truncated sum-of-digits function of polynomial sequences in residue classes

DOI10.1007/s10474-021-01151-9zbMath1488.11019OpenAlexW3169791438MaRDI QIDQ2043738

Huaning Liu, Christian Mauduit

Publication date: 3 August 2021

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-021-01151-9

zbMATH Keywords

character sumexponential sumsum-of-digits functionresidue class

Mathematics Subject Classification ID

Estimates on character sums (11L40) Radix representation; digital problems (11A63) Trigonometric and exponential sums (general theory) (11L03) Distribution functions associated with additive and positive multiplicative functions (11N60)

Cites Work

• On simultaneous digital expansions of polynomial values
• The sum of digits of squares
• Sums of digits of multiples of integers
• Prime numbers along Rudin-Shapiro sequences
• On a problem of Gelfond: the sum of digits of prime numbers
• Sur la fonction sommatoire de la fonction 'somme des chiffres'
• Distribution of the values of \(q\)-additive functions on polynomial sequences
• The sum of digits of polynomial values in arithmetic progressions
• On a second conjecture of Stolarsky: the sum of digits of polynomial values
• Stolarsky’s conjecture and the sum of digits of polynomial values
• CONGRUENCES DE SOMMES DE CHIFFRES DE VALEURS POLYNOMIALES
• Primes with an average sum of digits
• On the sum of digits of prime numbers
• The Binary Digits of a Power
• Automatic Sequences
• The summatory function of the sum-of-digits function on polynomial sequences
• Rudin–Shapiro sequences along squares
• The sum-of-digits function of polynomial sequences
• Sur les nombres qui ont des propriétés additives et multiplicatives données
• The Sum-of-Digits Function of Squares
• Note on Normal Decimals
• Note on normal numbers

This page was built for publication: On the distribution of the truncated sum-of-digits function of polynomial sequences in residue classes