The fourth power of the Fermat quotient |
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| Authors: | Takashi Agoh Ladislav Skula |
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| Institution: | a Department of Mathematics, Tokyo University of Science, Noda, Chiba 278-8510, Japan
b Institute of Mathematics, Faculty of Mechanical Engineering, Brno University of Technology, Technicka 2, 616 69 Brno, Czech Republic |
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| Abstract: | Let p be an odd prime and qp(a)=(ap−1−1)/p be the Fermat quotient with base a, p?a. The main purpose of this paper is to investigate the fourth power problem of qp(2) and deduce an explicit formula represented by a linear combination of Mirimanoff polynomial values. |
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| Keywords: | 11A07 11B68 11B75 |
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