Abstract
Let be a positive integer which is not a perfect -th power with , be a prime number and be the set of primes such that the residual order of in is congruent to modulo . In this paper, which is a sequel of our previous papers [1] and [6], under the assumption of the Generalized Riemann Hypothesis, we determine the natural densities of for if , if is an odd prime, and for an arbitrary nonzero integer (the main results of this paper are announced without proof in [3], [7] and [2]).
Citation
Koji CHINEN. Leo MURATA. "On a distribution property of the residual order of a (mod p)- III." J. Math. Soc. Japan 58 (3) 693 - 720, July, 2006. https://doi.org/10.2969/jmsj/1156342034
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