Distributions modulo subgroups of GF(q)
β 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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π SIMILAR VOLUMES
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.
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.