AbstractWe 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.
['Igor E. Shparlinski']
Ratios of Small Integers in Multiplicative Subgroups of Residue Rings