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: 0232-0525

How to cite

top

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

top
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.