Absolute derivations and zeta functions (Q1419620)
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scientific article; zbMATH DE number 2028844
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Absolute derivations and zeta functions |
scientific article; zbMATH DE number 2028844 |
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Absolute derivations and zeta functions (English)
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19 January 2004
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Summary: Just as the function ring case we expect the existence of the coefficient field for the integer ring. Using the notion of one element field in place of such a coefficient field, we calculate absolute derivations of arithmetic rings. Notable examples are the matrix rings over the integer ring, where we obtain some absolute rigidity. Knitting up prime numbers via absolute derivations we speculate the arithmetic landscape. Our result is only a trial to a proper foundation of arithmetic.
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