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Korolev, M. A.
Proceedings of the Steklov Institute of Mathematics, 09/2021, Letnik: 314, Številka: 1Journal Article, Conference Proceeding
The problem of the solvability of the congruence in primes , , , is addressed. Here , is the inverse of the residue , i.e., , , and , , , and are arbitrary integers with . The analysis of this congruence is based on new estimates of the Kloosterman sums with primes. The main result of the study is an asymptotic formula for the number of solutions in the case when the modulus is divisible by neither nor .
