Cyclotomy of Order 15 Over Gf (p2), p = 4, 11 (Mod 15)

Christian Friesen; Joseph B. Muskat; Blair K. Spearman; Kenneth S. Williams

doi:10.1155/S0161171286000832

Cyclotomy of Order 15 Over Gf (p²), p = 4, 11 (Mod 15)

Christian Friesen
, Joseph B. Muskat
, Blair K. Spearman
, Kenneth S. Williams

University of New Brunswick
Department of Mathematics and Computer Science Bar-Πan University Ramat-Gan
Department of Mathematics College of New Caledonia Prince George
Carleton University

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

For primes p ≡ 4, 11 (mod 15) explicit formulae are obtained for the cyclotomic numbers of order 15 over GF (p²).

Original language	English
Pages (from-to)	665-704
Number of pages	40
Journal	International Journal of Mathematics and Mathematical Sciences
Volume	9
Issue number	4
DOIs	https://doi.org/10.1155/S0161171286000832
State	Published - 1986
Externally published	Yes

Keywords

Cyclotomic numbers
Eisenstein sums
Gauss sums
Jacobi sums

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10.1155/S0161171286000832

Cite this

@article{ed838a12ea0844e09680ba001854e674,

title = "Cyclotomy of Order 15 Over Gf (p2), p = 4, 11 (Mod 15)",

abstract = "For primes p ≡ 4, 11 (mod 15) explicit formulae are obtained for the cyclotomic numbers of order 15 over GF (p2).",

keywords = "Cyclotomic numbers, Eisenstein sums, Gauss sums, Jacobi sums",

author = "Christian Friesen and Muskat, \{Joseph B.\} and Spearman, \{Blair K.\} and Williams, \{Kenneth S.\}",

year = "1986",

doi = "10.1155/S0161171286000832",

language = "אנגלית",

volume = "9",

pages = "665--704",

journal = "International Journal of Mathematics and Mathematical Sciences",

issn = "0161-1712",

publisher = "John Wiley and Sons Ltd",

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T1 - Cyclotomy of Order 15 Over Gf (p2), p = 4, 11 (Mod 15)

AU - Friesen, Christian

AU - Muskat, Joseph B.

AU - Spearman, Blair K.

AU - Williams, Kenneth S.

PY - 1986

Y1 - 1986

N2 - For primes p ≡ 4, 11 (mod 15) explicit formulae are obtained for the cyclotomic numbers of order 15 over GF (p2).

AB - For primes p ≡ 4, 11 (mod 15) explicit formulae are obtained for the cyclotomic numbers of order 15 over GF (p2).

KW - Cyclotomic numbers

KW - Eisenstein sums

KW - Gauss sums

KW - Jacobi sums

UR - https://www.scopus.com/pages/publications/84907329651

U2 - 10.1155/S0161171286000832

DO - 10.1155/S0161171286000832

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AN - SCOPUS:84907329651

SN - 0161-1712

VL - 9

SP - 665

EP - 704

JO - International Journal of Mathematics and Mathematical Sciences

JF - International Journal of Mathematics and Mathematical Sciences

IS - 4

ER -

Cyclotomy of Order 15 Over Gf (p²), p = 4, 11 (Mod 15)

Abstract

Keywords

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