On digits of Mersenne numbers

DOI10.4171/RMI/1316MaRDI QIDQ2104853

Igor E. Shparlinski, László Mérai, Bryce Kerr

Publication date: 8 December 2022

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.03380

zbMATH Keywords

exponential sumsMersenne numbers\(q\)-ary digits

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Radix representation; digital problems (11A63) Factorization; primality (11A51)

Related Items (1)

Distribution of recursive matrix pseudorandom number generator modulo prime powers

Cites Work

• Unnamed Item
• Unnamed Item
• The cubic case of the main conjecture in Vinogradov's mean value theorem
• Proof of the main conjecture in Vinogradov's mean value theorem for degrees higher than three
• Estimation of Kloosterman sums with primes and its application
• Sequences, discrepancies and applications
• Effective Vinogradov's mean value theorem via efficient boxing
• EXPONENTIAL AND CHARACTER SUMS WITH MERSENNE NUMBERS
• Exponential sums over Mersenne numbers
• A local Benford Law for a class of arithmetic sequences
• VINOGRADOV'S INTEGRAL AND BOUNDS FOR THE RIEMANN ZETA FUNCTION
• Complexity of Leading Digit Sequences
• Leading Digits of Mersenne Numbers
• ON THE DISTRIBUTION OF DIGITS IN PERIODIC FRACTIONS

This page was built for publication: On digits of Mersenne numbers