On an assertion of Ramanujan concerning binary quadratic forms
β Scribed by Kenneth S. Williams
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 653 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0022-314X
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π SIMILAR VOLUMES
We consider actions of SLΓ°2; ZΓ and SLΓ°2; ZΓ ΓΎ (semigroup of matrices with nonnegative integral entries) on the projective space P and on P Γ P. Results are obtained on orbit-closures under these actions and they are applied to describe a class of binary quadratic forms Q such that the sets QΓ°Z 2 Γ
We give an efficient algorithm for the resolution of index form equations, especially for determining power integral bases, in sextic fields with an imaginary quadratic subfield. The method reduces the problem to the resolution of a cubic relative Thue equation over the quadratic subfield. At the en