On the arithmetic structure of sets characterized by sum of digits properties
From MaRDI portal
Publication:678391
DOI10.1006/jnth.1996.0134zbMath0868.11004OpenAlexW1967599019MaRDI QIDQ678391
Christian Mauduit, András Sárközy
Publication date: 17 April 1997
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jnth.1996.0134
Distribution of integers in special residue classes (11N69) Radix representation; digital problems (11A63) Well-distributed sequences and other variations (11K36)
Related Items (30)
Prime divisors of sparse integers ⋮ Prime divisors in Beatty sequences ⋮ On integers with missing digits: sum of digits and distribution in congruence classes ⋮ Multiplicative character sums with the sum of \(g\)-ary digits function ⋮ Numbers with fixed sum of digits in linear recurrent number systems ⋮ Simultaneous distribution of \(S(n)\) and \(S(n+1)\) in arithmetic progressions ⋮ Arithmetic properties of positive integers with fixed digit sum ⋮ On the distribution of the sum of digits of sums \(a+b\) ⋮ Digital functions and sums involving the largest prime factor of an integer ⋮ Beatty sequences and prime numbers with restrictions on strongly \(q\)-additive functions ⋮ Sum of digits and distribution in congruence classes for palindromes with missing digits ⋮ Drunken man infinite words complexity ⋮ The sum-of-digits function of canonical number systems: distribution in residue classes ⋮ On the digits of shifted primes ⋮ Positive integers divisible by the product of their nonzero digits ⋮ Communication complexity of some number theoretic functions ⋮ An Erdős-Kac theorem for systems of \(q\)-additive functions ⋮ Unnamed Item ⋮ On a problem of Gelfond: the sum of digits of prime numbers ⋮ The complex sum of digits function and primes ⋮ Weyl sums over integers with affine digit restrictions ⋮ A central limit theorem for integer partitions ⋮ STRONGLY -ADDITIVE FUNCTIONS AND DISTRIBUTIONAL PROPERTIES OF THE LARGEST PRIME FACTOR ⋮ On uniformity of q‐multiplicative sequences ⋮ On arithmetic properties of integers with missing digits. I: Distribution in residue classes ⋮ Power-free values of strongly \(q\)-additive functions ⋮ The sum of digits function in number fields: distribution in residue classes ⋮ Exponential sums and prime divisors of sparse integers ⋮ On arithmetic properties of integers with missing digits. II: Prime factors ⋮ Waring's problem with digital restrictions
This page was built for publication: On the arithmetic structure of sets characterized by sum of digits properties
