2 results
ON
$\boldsymbol{\theta} $-CONGRUENT NUMBERS OVER REAL NUMBER FIELDS
- Part of
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- Journal:
- Bulletin of the Australian Mathematical Society / Volume 103 / Issue 2 / April 2021
- Published online by Cambridge University Press:
- 09 September 2020, pp. 218-229
- Print publication:
- April 2021
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- Article
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The notion of
$\theta $
-congruent numbers is a generalisation of congruent numbers where one considers triangles with an angle
$\theta $
such that
$\cos \theta $
is a rational number. In this paper we discuss a criterion for a natural number to be
$\theta $
-congruent over certain real number fields.
Congruent Number Elliptic Curves with Rank at Least Three
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- Journal:
- Canadian Mathematical Bulletin / Volume 53 / Issue 4 / 01 December 2010
- Published online by Cambridge University Press:
- 20 November 2018, pp. 661-666
- Print publication:
- 01 December 2010
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- Article
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