TY - JOUR

T1 - Ratios of Small Integers in Multiplicative Subgroups of Residue Rings

AU - Shparlinski, Igor E.

PY - 2016/7/2

Y1 - 2016/7/2

N2 - We obtain a new estimate, on average, over primes p in a dyadic interval, on the number of integers u, v of absolute value at most h which fall in a given multiplicative subgroup of the residue ring modulo p. Our result is based on an application of a large sieve inequality. We also present some numerical results comparing the new bound with several previously known bounds.

AB - We obtain a new estimate, on average, over primes p in a dyadic interval, on the number of integers u, v of absolute value at most h which fall in a given multiplicative subgroup of the residue ring modulo p. Our result is based on an application of a large sieve inequality. We also present some numerical results comparing the new bound with several previously known bounds.

UR - http://www.scopus.com/inward/record.url?scp=84961869790&partnerID=8YFLogxK

U2 - 10.1080/10586458.2015.1091754

DO - 10.1080/10586458.2015.1091754

M3 - Article

AN - SCOPUS:84961869790

SN - 1058-6458

VL - 25

SP - 273

EP - 280

JO - Experimental Mathematics

JF - Experimental Mathematics

IS - 3

ER -