On generalized quaternions

On generalized quaternions
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by Gordon Pall

Trans. Amer. Math. Soc. 59 (1946), 280-332

DOI: https://doi.org/10.1090/S0002-9947-1946-0018702-X

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References

Die Arithmetik der quadratischen Formen

H. Brandt, Idealtheorie in Quaternionenalgebren, Math. Ann. 99 (1928), no. 1, 1–29 (German). MR 1512436, DOI 10.1007/BF01459083

Algebras and their arithmetics

Algebren und ihre Zahlentheorie

Studies in the theory of numbers

Über die Äquivalenz quadratischer Formen in Körper der rationalen Zahlen

Zahlentheorie

Sur la théorie des formes quadratiques

Vorlesungen über die Zahlentheorie der Quaternionen

Burton W. Jones and Gordon Pall, Regular and semi-regular positive ternary quadratic forms, Acta Math. 70 (1939), no. 1, 165–191. MR 1555447, DOI 10.1007/BF02547347
A. Korkine and G. Zolotareff, Sur les formes quadratiques positives quaternaires, Math. Ann. 5 (1872), no. 4, 581–583 (French). MR 1509795, DOI 10.1007/BF01442912
Claiborne G. Latimer, The classes of integral sets in a quaternion algebra, Duke Math. J. 3 (1937), no. 2, 237–247. MR 1545983, DOI 10.1215/S0012-7094-37-00317-X
U. V. Linnik, On certain results relating to positive ternary quadratic forms, Rec. Math. [Mat. Sbornik] N.S. 5 (47) (1939), 453–471 (English, with Russian summary). MR 0002346
Gordon Pall, On the factorization of generalized quaternions, Duke Math. J. 4 (1938), no. 4, 696–704. MR 1546090, DOI 10.1215/S0012-7094-38-00461-2

Collected mathematical papers

S. B. Townes, Table of reduced positive quaternary quadratic forms, Ann. of Math. (2) 41 (1940), 57–58. MR 830, DOI 10.2307/1968819