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Distributions modulo subgroups of GF(q)

✍ Scribed by Kjell Kjeldsen


Publisher
Elsevier Science
Year
1973
Tongue
English
Weight
160 KB
Volume
15
Category
Article
ISSN
0097-3165

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πŸ“œ SIMILAR VOLUMES


Generating orthomorphisms of GF(q)+
✍ Anthony B. Evans πŸ“‚ Article πŸ“… 1987 πŸ› Elsevier Science 🌐 English βš– 403 KB
On the Distribution of ap Modulo One
✍ C.H. Jia πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 234 KB

In this paper, we prove: "Suppose \(\alpha\) is an irrational number and let \(\|y\|\) denote the smallest distance of \(y\) from an integer. Then, for any real number \(\beta\), there are infinitely many primes \(p\) such that \(\|\alpha p-\beta\|<p^{-4 / 13}\)." 1993 Academic Press, Inc.

The Existence of Complete Mappings of SL
✍ Anthony B Evans πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 209 KB

In 1955, Hall and Paige conjectured that any "nite group with a noncyclic Sylow 2-subgroup admits complete mappings. For the groups GΒΈ(2, q), SΒΈ(2, q), PSΒΈ(2, q), and PGΒΈ(2, q) this conjecture has been proved except for SΒΈ(2, q), q odd. We prove that SΒΈ(2, q), q,1 modulo 4 admits complete mappings.