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

Voir la notice de l'article provenant de la source Cambridge University Press

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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