The conductor of a cyclic quartic field using Gauss sums

Blair K. Spearman; Kenneth S. Williams

Displaying similar documents to “The conductor of a cyclic quartic field using Gauss sums”

On the diophantine equation $y^{2} + D^{m} = p^{n}$

Masao Toyoizumi (1983)

Acta Arithmetica

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On the parity of the class number of the field $ℚ (\sqrt{p}, \sqrt{q}, \sqrt{r})$

Michal Bulant (1998)

Acta Mathematica et Informatica Universitatis Ostraviensis

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On the class numbers of Q(√±2p) modulo 16, for p ≡ 1 (mod 8) a prime

Pierre Kaplan, Kenneth Williams (1982)

Acta Arithmetica

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The diophantine equation $a x^{2} + b x y + c y^{2} = N, D = b^{2} - 4 a c > 0$

Keith Matthews (2002)

Journal de théorie des nombres de Bordeaux

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We make more accessible a neglected simple continued fraction based algorithm due to Lagrange, for deciding the solubility of $a x^{2} + b x y + c y^{2} = N$ in relatively prime integers $x, y$ , where $N \neq 0$ , gcd $(a, b, c) = gcd (a, N) = 1 et D = b^{2} - 4 a c > 0$ is not a perfect square. In the case of solubility, solutions with least positive y, from each equivalence class, are also constructed. Our paper is a generalisation of an earlier paper by the author on the equation $x^{2} - D y^{2} = N$ . As in that paper, we use a lemma on unimodular matrices that gives a much simpler proof than Lagrange’s...

On the number of solutions of the generalized Ramanujan-Nagell equation $x ² - D = 2^{n + 2}$

Maohua Le (1991)

Acta Arithmetica

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A new cubic character sum

A. Rajwade, J. Parnami (1982)

Acta Arithmetica

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Displaying similar documents to “The conductor of a cyclic quartic field using Gauss sums”

On the diophantine equation y 2 + D m = p n

On the parity of the class number of the field ℚ ( p , q , r )

On the class numbers of Q(√±2p) modulo 16, for p ≡ 1 (mod 8) a prime

The diophantine equation a x 2 + b x y + c y 2 = N , D = b 2 - 4 a c &gt; 0

On the number of solutions of the generalized Ramanujan-Nagell equation x ² - D = 2 n + 2

A new cubic character sum

On the diophantine equation $y^{2} + D^{m} = p^{n}$

On the parity of the class number of the field $ℚ (\sqrt{p}, \sqrt{q}, \sqrt{r})$

The diophantine equation $a x^{2} + b x y + c y^{2} = N, D = b^{2} - 4 a c > 0$

On the number of solutions of the generalized Ramanujan-Nagell equation $x ² - D = 2^{n + 2}$