Abstract
The main purpose of this paper is to use the Fourier expansion for character sums and the mean value theorem of Dirichlet L–functions to study the asymptotic property of the difference between a D. H. Lehmer number and its inverse modulo p (an odd prime). A interesting mean square value formula is also given.
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This work is supported by the NSF (10271093) and the PSF of P. R. China
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Liu, H.N., Zhang, W.P. On a Problem of D. H. Lehmer. Acta Math Sinica 22, 61–68 (2006). https://doi.org/10.1007/s10114-004-0464-6
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DOI: https://doi.org/10.1007/s10114-004-0464-6