Geodesic
NONNEGATIVE MULTIPLICATIVE FUNCTIONS ON SIFTED SETS, AND THE SQUARE ROOTS OF −1 MODULO SHIFTED PRIMES
Glasgow mathematical journal, Tome 62 (2020) no. 1, pp. 187-199

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DOI

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. 
POLLACK, PAUL. NONNEGATIVE MULTIPLICATIVE FUNCTIONS ON SIFTED SETS, AND THE SQUARE ROOTS OF −1 MODULO SHIFTED PRIMES. Glasgow mathematical journal, Tome 62 (2020) no. 1, pp. 187-199. doi: 10.1017/S0017089519000041
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     title = {NONNEGATIVE {MULTIPLICATIVE} {FUNCTIONS} {ON} {SIFTED} {SETS,} {AND} {THE} {SQUARE} {ROOTS} {OF} \ensuremath{-}1 {MODULO} {SHIFTED} {PRIMES}},
     journal = {Glasgow mathematical journal},
     pages = {187--199},
     year = {2020},
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