Page URL:
http://www.maths.warwickac.uk/~masfaw/preprint.html
Please refer to the original URL for this document as it may be more up-to-date than the version you have.
Publications:
Modular
Equations and Eta Evaluations - Aust. Math. Soc.
Gazette,
Vol. 31 No. 1, Mar 2004, pp. 43--47.
Evaluation
of the Dedekind Eta Function - (with Robin Chapman), Canad. Math. Bull. Vol. 49 (1), 2006, pp. 21--35.
Schlaefli Modular
Equations
for Generalized
Weber Functions Ramanujan Journal, 15, 2008, pp. 435-468.
A New
Class of Modular Equation for Weber Functions International Journal of Number Theory, Vol. 3, No. 1, (2007), pp. 141-157.
An Identity for the Eta Function Involving Two Independent Complex Variables - (with Bruce Berndt), Bulletin of the London Mathematical Society 2007 39(2), pp. 345-347.
Algorithm M4RM: Efficient Multiplication of Dense Matrices over GF(2), - (With Gregory Bard and Martin Albrecht), To appear in Transactions of Mathematical Software (14 pages).
Preprints:
Eta
Evaluations from Modular Equations for Weber Functions
A New Class of Theta Function Identities in Two Variables (with Robin Chapman and Pee Choon Toh)
Congruent number theta coefficients to 10^12 (with Robert Bradshaw, David Harvey, Gonzalo Tornaria, Mark Watkins)
Software Projects:
FLINT : Fast Library for Number Theory
MPIR : Multiple Precision Integers and Rationals
Expositions:
Computing local Artin symbols in MAGMA
Obstructions to the Hasse Principle for Curves: Covers of Elliptic Curves
Notes on the GL_2 Main Conjecture a la
Coates, Fukaya, Kato, Sujatha and Venjakob (2004)
PhD Thesis, Macquarie University:
Evaluation
of
the Dedekind Eta Function (2004)
Other Notes:
Algebraic Number Theory - The Basics
Algebraic Number Theory - The
Algebraic
Method
A Guide to Theta Functions and Weber's
Modular Equations
Notes on Cohomology (following
MacLane's
"Homology") - Not Yet Fully Complete
Comments and Corrections: Please email them to me.
Last Updated: (Nov 8, 2006)