The problem of the number of zeros of an elliptic integral is semialgebraic (Q914012)
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scientific article; zbMATH DE number 4148549
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The problem of the number of zeros of an elliptic integral is semialgebraic |
scientific article; zbMATH DE number 4148549 |
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The problem of the number of zeros of an elliptic integral is semialgebraic (English)
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1988
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The author continues his investigations on the number of zeroes of periods of elliptic integrals taken on a one-parameter family of elliptic curves, all defined over \({\mathbb{R}}\) [see his previous work in Funkts. Anal. Prilozh. 18, No.2, 73-74 (1984; Zbl 0547.14003)]. Although the assumption on reality is fundamental for the proofs, it would be interesting to compare his results with the general estimates provided by Chudnovsky's method on Fuchs' relation on twists of hypergeometric equations.
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Picard-Fuchs equations
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elliptic integrals
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