Polynomials of the form g ( x k ) and pseudoprimes with respect to linear recurring sequences

František Marko

Mathematica Slovaca (1992)

  • Volume: 42, Issue: 5, page 621-639
  • ISSN: 0139-9918

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Marko, František. "Polynomials of the form $g(x^k)$ and pseudoprimes with respect to linear recurring sequences." Mathematica Slovaca 42.5 (1992): 621-639. <http://eudml.org/doc/32165>.

@article{Marko1992,
author = {Marko, František},
journal = {Mathematica Slovaca},
keywords = {polynomial with rational coefficients; splitting field; existence of pseudoprimes; linear recurrence},
language = {eng},
number = {5},
pages = {621-639},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Polynomials of the form $g(x^k)$ and pseudoprimes with respect to linear recurring sequences},
url = {http://eudml.org/doc/32165},
volume = {42},
year = {1992},
}

TY - JOUR
AU - Marko, František
TI - Polynomials of the form $g(x^k)$ and pseudoprimes with respect to linear recurring sequences
JO - Mathematica Slovaca
PY - 1992
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 42
IS - 5
SP - 621
EP - 639
LA - eng
KW - polynomial with rational coefficients; splitting field; existence of pseudoprimes; linear recurrence
UR - http://eudml.org/doc/32165
ER -

References

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  1. ADAMS W., SHANKS D., Strong primality tests that are not sufficient, Math. Comp. 39 (1982), 255-300. (1982) Zbl0492.10005MR0658231
  2. CASSELS J. W. S., FROHLICH A., Algebraic Number Theory, Academic Press, London, 1967. (1967) MR0215665
  3. HASSE H., Bencht über neuere Untersuchungen und Probleme aus der Theorie der algebraischen Zahlkörper, , Jahresber. Deutsch. Math.-Verein. 35 (1926), 1-55, (Addendum, ibid. 36 (1927), 233-311). (1926) 
  4. JAKUBEC S., NEMOGA K., On a conjecture concerning sequences of the third order, Math. Slovaca 36 (1986), 85-89. (1986) Zbl0583.10007MR0832373
  5. MARKO P., Schinzel's conjecture H and divisibility in abelian linear recurring sequences, Colloq. Math. LIX (1990), 1-7. (1990) Zbl0715.11008
  6. MARKO F., Pseudoprimes with respect to linear recurring sequences, (Slovak), Thesis, Bratislava, 1991. (1991) 
  7. NARKIEWICZ W., Elementary and Analytic Theory of Algebraic Numbers, Polish Scientific Publishers, Warszawa, 1974. (1974) Zbl0276.12002MR0347767
  8. PRACHAR K., Primzahlverteilung, Springer Verlag, Berlin-Gottingen-Heidelberg, 1957. (1957) Zbl0080.25901MR0087685
  9. SCHINZEL A., Selected Topics on Polynomials, University of Michigan Press, Ann Arbor, 1982. (1982) Zbl0487.12002MR0649775
  10. SCHINZEL A., Abelian binomials, power residues and exponential congruences, Acta Arith. 32 (1977), 245-274, (Addendum, ibid. 36 (1980), pp.101-104). (1977) Zbl0409.12029MR0429819

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