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 -