On the Distribution of Pseudopowers
2010 ◽
Vol 62
(3)
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pp. 582-594
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Keyword(s):
AbstractAn x-pseudopower to base g is a positive integer that is not a power of g, yet is so modulo p for all primes p ≤ x. We improve an upper bound for the least such number, due to E. Bach, R. Lukes, J. Shallit, and H. C. Williams. The method is based on a combination of some bounds of exponential sums with new results about the average behaviour of the multiplicative order of g modulo prime numbers.
Keyword(s):
1996 ◽
Vol 48
(3)
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pp. 483-495
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Keyword(s):
2012 ◽
Vol 08
(02)
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pp. 299-309
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2001 ◽
Vol 44
(1)
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pp. 87-92
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1989 ◽
Vol 46
(3)
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pp. 423-437
1991 ◽
Vol 34
(1)
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pp. 121-142
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Keyword(s):
1988 ◽
Vol 42
(2)
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pp. 197-204
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