论文信息 - Generalizing Gauss's Gem

Generalizing Gauss's Gem

Abstract Gauss's Cyclotomic Formula is extended to a formula with p variables, where p is an odd prime. This new formula involves the determinant of a circulant matrix. An application involving the Wendt determinant is given.

Marc Chamberland | Ezra Brown | Ezra Brown | M. Chamberland

[1] D. Djukic. Pell’s Equation , 2007 .

[2] H. O. Foulkes. Abstract Algebra , 1967, Nature.

[3] Carl Friedrich Gauss,et al. Untersuchungen über höhere Arithmetik , 1965 .

[4] Steven H. Weintraub. A Guide to Advanced Linear Algebra , 2011 .

[5] Robert H. Halstead,et al. Matrix Computations , 2011, Encyclopedia of Parallel Computing.

[6] Paulo Ribenboim,et al. Fermat's last theorem for amateurs , 1999 .

[7] Gene H. Golub,et al. Matrix Computations, Third Edition , 1996 .