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by Igor Shparlinski, Igor Shparlinski
http://www.comp.mq.edu.au/~igor/Orders.ps
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Abstract:
Using bounds of character sums we show that one of the open questions about the possible relation between the multiplicative orders of # and # + #-1 has a negative answer. In fact we show that in some sense the multiplicative orders of these elements are independent. Running head Multiplicative orders of # and # + #-1 3 Let IF q denote the finite field of q elements. Given an non-zero element # IF # q, as usual, we define its multiplicative order ord # as the smallest positive integer t with # t
Citations
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| 1 | zur Gathen and I. Shparlinski, `Gauss periods in finite fields – von - 1999 |
