Sums of digits and almost primes
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Publication:1923247
DOI10.1007/BF01444238zbMath0858.11050MaRDI QIDQ1923247
Christian Mauduit, Étienne Fouvry
Publication date: 26 November 1996
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/183004
Applications of sieve methods (11N36) Radix representation; digital problems (11A63) Automata sequences (11B85) Primes (11A41)
Related Items (39)
Sums of digits of multiples of integers ⋮ Digits of primes ⋮ Prime divisors of sparse integers ⋮ Phénomène de Moser-Newman pour les nombres sans facteur carré ⋮ On sequences with prescribed metric discrepancy behavior ⋮ Numbers with fixed sum of digits in linear recurrent number systems ⋮ Pseudorandom sequences derived from automatic sequences ⋮ Moments of a Thue-Morse generating function ⋮ Piatetski-Shapiro sequences via Beatty sequences ⋮ Normality of the Thue-Morse sequence along Piatetski-Shapiro sequences. II ⋮ Arithmetic properties of positive integers with fixed digit sum ⋮ On evil Kronecker sequences and lacunary trigonometric products ⋮ The Thue-Morse and Rudin-Shapiro sequences at primes in principal number fields ⋮ On the digits of shifted primes ⋮ \(L^\infty\)-estimation of generalized Thue-Morse trigonometric polynomials and ergodic maximization ⋮ Almost primes whose expansion in base \(r\) misses some digits ⋮ The level of distribution of the Thue–Morse sequence ⋮ Positive integers divisible by the product of their nonzero digits ⋮ Asymptotic behaviour of multiperiodic functions scaled by Pisot numbers. ⋮ Unnamed Item ⋮ On a problem of Gelfond: the sum of digits of prime numbers ⋮ The study of collision and avalanche effect in a family of pseudorandom binary sequences ⋮ Zero-density sets containing integers with at most two prime factors ⋮ METRIC RESULTS ON THE DISCREPANCY OF SEQUENCES MODULO ONE FOR INTEGER SEQUENCES OF POLYNOMIAL GROWTH ⋮ On uniformity of q‐multiplicative sequences ⋮ Euler, Pisot, Prouhet-Thue-Morse, Wallis and the duplication of sines ⋮ On finite pseudorandom binary sequences. II: The Champernowne, Rudin-Shapiro, and Thue-Morse sequences, a further construction ⋮ On Gelfond's conjecture about the sum of digits of prime numbers ⋮ Two arithmetic applications of perturbations of composition operators ⋮ Prime Numbers with a Fixed Number of One Bits or Zero Bits in Their Binary Representation ⋮ Prime numbers in two bases ⋮ Exponential sums and prime divisors of sparse integers ⋮ Divisors of numbers with missing digits ⋮ The level of distribution of the sum-of-digits function of linear recurrence number systems ⋮ On arithmetic properties of integers with missing digits. II: Prime factors ⋮ The sum of digits function in finite fields ⋮ The Thue-Morse sequence ⋮ Polynomial values and generators with missing digits in finite fields ⋮ Waring's problem with digital restrictions
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