journal6 ›› 2001, Vol. 22 ›› Issue (1): 56-58.

• Mathematics • Previous Articles     Next Articles

Distribution of Difference Between Lehmer D H Number and Its Inverse


  1. ( Dep. of Math. , Yan’an University, Yan’an 716000, Shanxi China)
  • Online:2001-03-15 Published:2013-01-05

Abstract: Let n ≥3 be an odd number and contain a primitive root, for each 1≤a < n with ( a, n ) = 1, It is clear that there exists one and only one 1  a < n such that a a ≡1(mod n) . Such number a is called as lehmer D H number if a and  a are of opposite parity. This paper is to study the dist ribution property of difference between lehmer D H number and its inverse by use the estimation of kloos terman’s sum. and given an asymptotic formula.

Key words: Lehmer D H number, primitive root, inverse, distribution property, asymptotic formula

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