Fermat and Wilson quotients for p -adic integers

Ladislav Skula

Acta Mathematica et Informatica Universitatis Ostraviensis (1998)

  • Volume: 06, Issue: 1, page 167-181
  • ISSN: 1804-1388

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Skula, Ladislav. "Fermat and Wilson quotients for $p$-adic integers." Acta Mathematica et Informatica Universitatis Ostraviensis 06.1 (1998): 167-181. <http://eudml.org/doc/23810>.

@article{Skula1998,
author = {Skula, Ladislav},
journal = {Acta Mathematica et Informatica Universitatis Ostraviensis},
keywords = {Fermat quotient; Euler quotient; Wilson quotient; -adic number},
language = {eng},
number = {1},
pages = {167-181},
publisher = {University of Ostrava},
title = {Fermat and Wilson quotients for $p$-adic integers},
url = {http://eudml.org/doc/23810},
volume = {06},
year = {1998},
}

TY - JOUR
AU - Skula, Ladislav
TI - Fermat and Wilson quotients for $p$-adic integers
JO - Acta Mathematica et Informatica Universitatis Ostraviensis
PY - 1998
PB - University of Ostrava
VL - 06
IS - 1
SP - 167
EP - 181
LA - eng
KW - Fermat quotient; Euler quotient; Wilson quotient; -adic number
UR - http://eudml.org/doc/23810
ER -

References

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  1. T. Agoh K. Dilcher, and L. Skula, 10.1006/jnth.1997.2162, J. Number Theory 66 (1997), 29-50. (1997) MR1467188DOI10.1006/jnth.1997.2162
  2. T. Agoh K. Dilcher, and L. Skula, 10.1090/S0025-5718-98-00951-X, Math. Comp. 67, No. 222 (1998), 843-861. (1998) MR1464140DOI10.1090/S0025-5718-98-00951-X
  3. Z. I. Borevich I. R. Shafarevich, Number Theory, Academic Press, Orlando, 1966. (1966) MR0195803
  4. G. Eisenstein, Eine neue Gattung zahlentheoretischer Funktionen, welche von zwei Elementen abhängen und durch gewisse lineare Funktional-Gleichungen definiert werden, Bericht über die zur Bekanntmachung geeigenten Verhandlungen der Königl. Preuss. Akademie der Wissenschaften zu Berlin (1850), 36-42 (p.41). "Math. Werke, Gotthold Eisenstein", Band II, Chelsea, New York, 2nd ed. 1989, 705-711 (p. 7-10). (1989) 
  5. A. Friedmann J. Tamarkine, Quelques formules concernant la théorie de la fonction [x] et des nombres de Bernoulli, J. Reine Angew. Math. 135 (1909), 146-156. (1909) 
  6. H. Koch, Galoissche Theorie der p-Erweiterungen, , Berlin 1970. (1970) Zbl0216.04704MR0291139
  7. H.-W. Leopoldt, 10.1007/BF02992777, Abh. Math. Sem, Univ. Hamburg 25 (1961), 77-81. (1961) Zbl0099.02603MR0125838DOI10.1007/BF02992777
  8. M. Lerch, 10.1007/BF01561092, Math. Ann. 60 (1905), 471-490. (1905) MR1511321DOI10.1007/BF01561092
  9. M. Lerch, Sur les théorèmes de Sylvester concernant le quotient de Fermat, C. R. Acad. Sci. Paris 142 (1906), 35-38. (1906) 
  10. L. C. Washington, Introduction to Cyclotomic Fields, Second Edition, Springer, 1997. (1997) Zbl0966.11047MR1421575

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