arXiv Analytics

Sign in

arXiv:1308.6670 [math.NT]AbstractReferencesReviewsResources

Extensions of the class of multiplicative functions

Pentti Haukkanen

Published 2013-08-30Version 1

We consider the classes of quasimultiplicative, semimultiplicative and Selberg multiplicative functions as extensions of the class of multiplicative functions. We apply these concepts to Ramanujan's sum and its analogue with respect to regular integers (mod r).

Comments: arXiv admin note: text overlap with arXiv:1008.5239
Journal: East-West Journal of Mathematics 14 (2), 2012, 101-113
Categories: math.NT
Subjects: 11A25
Related articles: Most relevant | Search more
arXiv:1008.5239 [math.NT] (Published 2010-08-31)
An analogue of Ramanujan's sum with respect to regular integers (mod $r$)
arXiv:1006.2610 [math.NT] (Published 2010-06-14, updated 2012-05-03)
Functions which are PN on infiitely many extensions of Fp, p odd
arXiv:2210.09119 [math.NT] (Published 2022-10-17)
Hasse norm principle for $M_{11}$ extensions