A rational sixteenth power reciprocity law
Philip Leonard, Kenneth Williams (1977)
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Philip Leonard, Kenneth Williams (1977)
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Let denote the field of rational numbers. Let be a cyclic quartic extension of . It is known that there are unique integers , , , such that where The conductor of is , where A simple proof of this formula for is given, which uses the basic properties of quartic Gauss sums.
L. Mordell (1960)
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Kenneth Williams, Kenneth Hardy, Christian Friesen (1985)
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K. Inkeri (1964)
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A. Rotkiewicz, R. Wasén (1980)
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Masao Toyoizumi (1983)
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