scholarly journals Fermat's equation for matrices or quaternions over q-adic fields

2004 ◽  
Vol 113 (3) ◽  
pp. 241-250 ◽  
Author(s):  
Paulo Ribenboim
Keyword(s):  
Fermat's Equation

On Fermat's Equation in

1969 ◽  
Vol 76 (7) ◽  
pp. 808-809
Author(s):  
Newcomb Greenleaf
Keyword(s):  
Fermat's Equation

Fermat's equation over the tower of cyclotomic fields

2001 ◽  
Vol 65 (3) ◽  
pp. 503-541
Author(s):  
V A Kolyvagin
Keyword(s):  
Cyclotomic Fields ◽  
Fermat's Equation

scholarly journals On Fermat's equation with exponent 2p

1981 ◽  
Vol 45 (1) ◽  
pp. 101-102
Author(s):  
A. Rotkiewicz
Keyword(s):  
Fermat's Equation

Fermat's Equation Ap+Bp=Cp for Matrices of Integers

1972 ◽  
Vol 45 (1) ◽  
pp. 12-15 ◽  
Author(s):  
J. L. Brenner ◽  
J. De Pillis
Keyword(s):  
Fermat's Equation

A Note on Bernoulli-Goss Polynomials

1984 ◽  
Vol 27 (2) ◽  
pp. 179-184 ◽  
Author(s):  
K. Ireland ◽  
D. Small
Keyword(s):  
Closed Form ◽  
Existence Theorem ◽  
Function Fields ◽  
Bernoulli Polynomials ◽  
Bernoulli Polynomial ◽  
Computer Search ◽  
Quadratic Polynomials ◽  
Fermat's Equation

AbstractIn an important series of papers ([3], [4], [5]), (see also Rosen and Galovich [1], [2]), D. Goss has developed the arithmetic of cyclotomic function fields. In particular, he has introduced Bernoulli polynomials and proved a non-existence theorem for an analogue to Fermat’s equation for regular “exponent”. For each odd prime p and integer n, l ≤ n ≤ p2-2 we derive a closed form for the nth Bernoulli polynomial. Using this result a computer search for regular quadratic polynomials of the form x2-a was made. For primes less than or equal to 269 regular quadratics exist for p= 3, 5, 7, 13, 31.

Fermat's Equation Ap+Bp=Cp for Matrices of Integers

1972 ◽  
Vol 45 (1) ◽  
pp. 12 ◽  
Author(s):  
J. L. Brenner ◽  
J. De Pillis
Keyword(s):  
Fermat's Equation

ELLIPTIC FUNCTIONS AND FERMAT'S EQUATION

1994 ◽  
Vol 77 (1) ◽  
pp. 11-23
Author(s):  
V A Dem'yanenko
Keyword(s):  
Elliptic Functions ◽  
Fermat's Equation

On Fermat's equation in integral 2×2 matrices

1995 ◽  
Vol 31 (3) ◽  
pp. 219-222
Author(s):  
Maouha Le ◽  
Ching Li
Keyword(s):  
Fermat's Equation
Sign in / Sign up

Export Citation Format

Share Document