A binary additive problem of Erdős and the order of \(2 \bmod {p^2}\)

DOI10.1023/A:1009786614584zbMath0912.11003MaRDI QIDQ1265273

Andrew Granville, Kannan Soundararajan

Publication date: 6 January 1999

Published in: The Ramanujan Journal (Search for Journal in Brave)

zbMATH Keywords

congruencespower residuesbinary additive problemorder of \(2\bmod p^2\)representations of odd integerssum of squarefree number and power of two

Mathematics Subject Classification ID

Applications of sieve methods (11N36) Congruences; primitive roots; residue systems (11A07) Distribution of integers in special residue classes (11N69) Density, gaps, topology (11B05) Distribution of integers with specified multiplicative constraints (11N25) Power residues, reciprocity (11A15) Additive number theory; partitions (11P99) Representation functions (11B34)

Related Items (6)

On integers of the forms \(k\pm 2^{n}\) and \(k2^{n}\pm 1\) ⋮ On Wieferich and non-Wieferich primes with prime bases ⋮ Extremal values for the sum \(\sum^\tau_{r=1} e(a2^r/q)\) ⋮ On Romanoff's constant ⋮ Five consecutive positive odd numbers none of which can be expressed as a sum of two prime powers. II ⋮ Estimates for Wieferich numbers

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