Nonnegative Multiplicative Functions on Sifted Sets, and the Square Roots of −1 modulo Shifted Primes

Content Provider	Semantic Scholar
Author	Pollack, Paul
Copyright Year	2020
Abstract	An oft-cited result of Peter Shiu bounds the mean value of a nonnegative multiplicative function over a coprime arithmetic progression. We prove a variant where the arithmetic progression is replaced by a sifted set. As an application, we show that the normalized square roots of −1 (mod m) are equidistributed (mod 1) as m runs through the shifted primes q − 1.
Starting Page	187
Ending Page	199
Page Count	13
File Format	PDF HTM / HTML
DOI	10.1017/s0017089519000041
Volume Number	62
Alternate Webpage(s)	http://pollack.uga.edu/brunmultiplicative3.pdf
Alternate Webpage(s)	https://doi.org/10.1017/s0017089519000041
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article