Collected Papers of Kenneth S. Williams

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1962-1969 - 1970-1979 - 1980-1989 - 1990-1999 - 2000 - 2001 - 2002 - 2003 - 2004 - 2005 - 2006 - 2007 - 2008 - 2009 - 2010 - 2011 - 2012 - 2013 - 2014 - 2015 - 2016-2017 - All

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Algebraic Number Theory - Analytic Number Theory - Elementary Number Theory - Computational Number Theory - Analysis - Algebra - Geometry - Linear Algebra - Other

ALNT On the density of cyclic quartic fields, Canad. Math. Bull. 44 (2001), 97-104. (with Z. M. Ou)
Algebra Conditions for the insolvability of the quintic equation x5 + ax + b = 0, Far East J. Math. Sci. 3 (2001), 209-225. (with B. K. Spearman)
ALNT, ANNT Integers which are discriminants of bicyclic or cyclic quartic fields, JP J. Algebra Number Theory Appl. 1 (2001), 179-194. (with B.K. Spearman)
ENT On the relative sizes of A and B in p=A²+B², where p is a prime=1(mod 4), Far East J. Math. Sci. 3 (2001), 129-132.
ENT An arithmetic proof of Jacobi's eight squares theorem, Far East J. Math. Sci. 3 (2001), 1001-1005.
ALNT Cubic fields with a power basis, Rocky Mountain J. Math. 31 (2001), 1103-1109. (with B. K. Spearman)
Algebra Note on a paper of Kobayashi and Nakagawa, Sci. Math. Jpn. 53 (2001), 323-334. (with B. K. Spearman)
ALNT The cubic congruence x³+Ax²+Bx+C = 0 (mod p) and binary quadratic forms II, J. London Math. Soc. 64 (2001), 273-274. (with B. K. Spearman)