Prime factorization of integral Cayley octaves

DOI10.5802/afst.767zbMath0830.17017OpenAlexW2333203085MaRDI QIDQ1327535

Hans Peter Rehm

Publication date: 19 June 1994

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1993_6_2_2_271_0

zbMATH Keywords

Cayley-Dickson algebraalgebraic proof of Jacobi's formulasums of eight squaresunique prime factorization for integral octaves

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Alternative rings (17D05)

Related Items (3)

Convergence of improper Iwasawa continued fractions ⋮ Symmetric and asymmetric cryptographic key exchange protocols in the octonion algebra ⋮ Unnamed Item

Cites Work

• Factorzation of Cayley numbers
• A certain class of multiplicative functions
• Integral Cayley numbers
• The number of Cayley integers of given norm
• Unnamed Item
• Unnamed Item

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