Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Abstract 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.  also present some numerical results comparing the new bound with several previously known bounds.
['Igor E. Shparlinski']
I am writing a research paper on a idea Ratios of Small Integers in Multiplicative Subgroups of Residue Rings
[{"from": "human", "value": "I am writing a research paper on a idea Ratios of Small Integers in Multiplicative Subgroups of Residue Rings"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Abstract 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.  also present some numerical results comparing the new bound with several previously known bounds."}]