The errors are large owing to the southern declination The following ephemeris has been calculated from of the star. elements II by aid of the formulae: Q C O S B = -0 ! 0 ~4 6 + 0 ! ' 5 1 4 6 s i n ( 1 ~~~~\* -E ) Q sin B = -0!'6661 + 1!2682 sin (79" 46' -E) f z = -o!'1947 + 1!'0297 sin (zoo 46' +
On the Multiplicative Orders of γ and γ+γ−1 over finite fields
✍ Scribed by Igor Shparlinski
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 261 KB
- Volume
- 7
- Category
- Article
- ISSN
- 1071-5797
No coin nor oath required. For personal study only.
✦ Synopsis
Using bounds of character sums we show that one of the open questions about the possible relation between the multiplicative orders of and # \ has a negative answer. In fact we show that in some sense the multiplicative orders of these elements are independent.
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Some geometry of Hermitian matrices of order three over GF(q 2 ) is studied. The variety coming from rank 2 matrices is a cubic hypersurface M 3 7 of PG(8, q) whose singular points form a variety H corresponding to all rank 1 Hermitian matrices. Beside M 3 7 turns out to be the secant variety of H.
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