Criterion for 3 to be eleventh power

Stanislav Jakubec

Acta Mathematica et Informatica Universitatis Ostraviensis (1995)

  • Volume: 03, Issue: 1, page 37-(43)
  • ISSN: 1804-1388

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Jakubec, Stanislav. "Criterion for 3 to be eleventh power." Acta Mathematica et Informatica Universitatis Ostraviensis 03.1 (1995): 37-(43). <http://eudml.org/doc/23771>.

@article{Jakubec1995,
author = {Jakubec, Stanislav},
journal = {Acta Mathematica et Informatica Universitatis Ostraviensis},
keywords = {eleventh power; representation; quadratic diophantine equation},
language = {eng},
number = {1},
pages = {37-(43)},
publisher = {University of Ostrava},
title = {Criterion for 3 to be eleventh power},
url = {http://eudml.org/doc/23771},
volume = {03},
year = {1995},
}

TY - JOUR
AU - Jakubec, Stanislav
TI - Criterion for 3 to be eleventh power
JO - Acta Mathematica et Informatica Universitatis Ostraviensis
PY - 1995
PB - University of Ostrava
VL - 03
IS - 1
SP - 37
EP - (43)
LA - eng
KW - eleventh power; representation; quadratic diophantine equation
UR - http://eudml.org/doc/23771
ER -

References

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  1. Alderson H. P., On the septimic character of 2 and 3, Proc. Camb. Phil. Soc. 74 (1973), 421-433. (1973) Zbl0265.10003MR0323763
  2. Ankeny N. C., Criterion for rth power residuacity, Pacific J. Math. 10 (1960), 1115-1124. (1960) Zbl0113.26801MR0118708
  3. Jacobi C. G. J., De residuis cubicis commentatio numerosa, J. für Reine und Angew. Math. 2 (1827), 66-69. Zbl002.0047cj
  4. Jakubec S., Note on the Jacobi sum, Seminaire de theorie des nombres de Bordeaux to appear (1994). (1994) 
  5. Lehmer E., The quintic character of 2 and 3, Duke Math. J. 18 (1951), 11-18. (1951) Zbl0045.02002MR0040338
  6. Leonard P. A., Williams K. S., The septic character of 2, 3, 5 and 7, Pacific J. Math. 52 (1974), 143-147. (1974) MR0364064
  7. Muskat J. B., [unknown], Pacific J. Math. 14 (1964), 257-260. (1964) Zbl0117.27701MR0159781
  8. Parnami J. C., Agrawal M. K., Rajwade A.R., Criterion for 2 to be l-th power, Acta Arith. 43 (1984), 361-364. (1984) MR0756287
  9. Williams K. S., Explicit criteria for quintic residuacity, Math. Comp. 30 (1974), 1-6. (1974) MR0412089

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