arXiv Analytics

Sign in

arXiv:1408.0909 [math.NT]AbstractReferencesReviewsResources

A short note on reduced residues

Pascal Stumpf

Published 2014-08-05, updated 2014-08-06Version 2

We solve a problem due to Recam\'an about the lower bound behavior of the maximum possible length among all arithmetic progressions in the least reduced residue system modulo $n$, as $n \to \infty$.

Comments: For Bernardo Recam\'an on his 60th birthday; UPDATE: more printer-friendly version, and special thanks to Prof. J\"orn Steuding
Categories: math.NT
Related articles: Most relevant | Search more
arXiv:1708.08085 [math.NT] (Published 2017-08-27)
Valuations, arithmetic progressions, and prime numbers
arXiv:1406.7326 [math.NT] (Published 2014-06-27)
Bounding sums of the Möbius function over arithmetic progressions
arXiv:1802.00085 [math.NT] (Published 2018-01-31)
Explicit bounds for primes in arithmetic progressions