Abstract
The diophantine equations tx3−(t−1)y2=1 (or x) can be completely solved in ℂ(t) by complex multiplication in the ring of sixth (or fourth) roots of unity. Relations to well-known diophantine equations in Φ are indicated.
Keywords
- Complex Multiplication
- Elliptic Curf
- Elliptic Function
- Function Field
- Polynomial Identity
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© 1979 Springer-Verlag
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Cohn, H. (1979). Diophantine equations over ℂ(t) and complex multiplication. In: Nathanson, M.B. (eds) Number Theory Carbondale 1979. Lecture Notes in Mathematics, vol 751. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062702
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DOI: https://doi.org/10.1007/BFb0062702
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