On the rationality of Cantor and Ahmes series (Q1866481)
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scientific article; zbMATH DE number 1893653
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the rationality of Cantor and Ahmes series |
scientific article; zbMATH DE number 1893653 |
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On the rationality of Cantor and Ahmes series (English)
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5 June 2003
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The main results of this paper are several criteria for the sums of the Cantor series to be irrational. The authors also prove that if the simple numerators and denominators satisfy some growth conditions then every real number from a certain interval can be expressed in a special form. The proofs are based on interesting tricks. Some remarkable examples are included.
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infinite series
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irrational numbers
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Cantor series
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