The fermat equation over quadratic fields |
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| Authors: | Fred H Hao Charles J Parry |
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| Institution: | Department of Mathematics, Valparaiso University, Valparaiso, Indiana 46383 USA;Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061-4097 USA |
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| Abstract: | Kummer's method of proof is applied to the Fermat equation over quadratic fields. The concept of an m-regular prime, p, is introduced and it is shown that for certain values of m, the Fermat equation with exponent p has no nontrivial solutions over the field Q(√m). |
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