Prime factorization of integral Cayley octaves

Hans Peter Rehm

Annales de la Faculté des sciences de Toulouse : Mathématiques (1993)

  • Volume: 2, Issue: 2, page 271-289
  • ISSN: 0240-2963

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Peter Rehm, Hans. "Prime factorization of integral Cayley octaves." Annales de la Faculté des sciences de Toulouse : Mathématiques 2.2 (1993): 271-289. <http://eudml.org/doc/73322>.

@article{PeterRehm1993,
author = {Peter Rehm, Hans},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {Cayley-Dickson algebra; unique prime factorization for integral octaves; algebraic proof of Jacobi's formula; sums of eight squares},
language = {eng},
number = {2},
pages = {271-289},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Prime factorization of integral Cayley octaves},
url = {http://eudml.org/doc/73322},
volume = {2},
year = {1993},
}

TY - JOUR
AU - Peter Rehm, Hans
TI - Prime factorization of integral Cayley octaves
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1993
PB - UNIVERSITE PAUL SABATIER
VL - 2
IS - 2
SP - 271
EP - 289
LA - eng
KW - Cayley-Dickson algebra; unique prime factorization for integral octaves; algebraic proof of Jacobi's formula; sums of eight squares
UR - http://eudml.org/doc/73322
ER -

References

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  1. [1] Van Der Blij ( F.) and Springer ( T.A.) .— The arithmetics of octaves and the group G2, Proc. Nederl. Akad. Wet.1959, pp. 406-418. Zbl0089.25803MR152555
  2. [2] Coxeter ( H.S.M.) .— Integral Cayley numbers, Duke math. J.13 (1946), pp. 561-578. Zbl0063.01004MR19111
  3. [3] Hurwitz ( A.) . — Über die Zahlentheorie der Quaternionen, Math. Werke, Bd. 2, pp. 303-330. JFM27.0162.01
  4. [4] Jacobi ( C.B.) Ges. Werke, Bd. 1. 
  5. [5] Lamont ( P.J.C.) .— The number of Cayley integers of given norm, Proc. Edinburgh Math. Soc.25 (1982). Zbl0458.12001MR648907
  6. [6] Pall ( G.) and Taussky ( O.) .— Factorization of Cayley numbers, J. Number Theory2 (1970), pp. 74-90. Zbl0212.06602MR255514
  7. [7] Rankin ( R.A.) . — A certain class of multiplicative functions, Duke Math. J.13 (1946), pp. 281-306. Zbl0061.07708MR18683
  8. [8] Schafer ( R.D.) .— An Introduction to Nonassociative Algebras, Academic Press, New York and London (1966). Zbl0145.25601MR210757
  9. [9] Zorn ( M.) .— Alternativkörper und quadratische Systeme, Abh. Math. Sem. Hamburg Univ.9 (1933), pp. 393-402. Zbl0007.05403JFM59.0154.01

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