On strong Lehmer pseudoprimes in the case of negative discriminant in arithmetic progressions

A. Rotkiewicz

Acta Arithmetica (1994)

  • Volume: 68, Issue: 2, page 145-151
  • ISSN: 0065-1036

How to cite

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A. Rotkiewicz. "On strong Lehmer pseudoprimes in the case of negative discriminant in arithmetic progressions." Acta Arithmetica 68.2 (1994): 145-151. <http://eudml.org/doc/206651>.

@article{A1994,
author = {A. Rotkiewicz},
journal = {Acta Arithmetica},
keywords = {Lehmer sequence; arithmetic progression; pseudoprimes},
language = {eng},
number = {2},
pages = {145-151},
title = {On strong Lehmer pseudoprimes in the case of negative discriminant in arithmetic progressions},
url = {http://eudml.org/doc/206651},
volume = {68},
year = {1994},
}

TY - JOUR
AU - A. Rotkiewicz
TI - On strong Lehmer pseudoprimes in the case of negative discriminant in arithmetic progressions
JO - Acta Arithmetica
PY - 1994
VL - 68
IS - 2
SP - 145
EP - 151
LA - eng
KW - Lehmer sequence; arithmetic progression; pseudoprimes
UR - http://eudml.org/doc/206651
ER -

References

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  1. [1] L. K. Durst, Exceptional real Lehmer sequences, Pacific J. Math. 9 (1959), 437-441. Zbl0091.04204
  2. [2] D. H. Lehmer, An extended theory of Lucas functions, Ann. of Math. (2) 31 (1930), 419-448. Zbl56.0874.04
  3. [3] A. Rotkiewicz, On the pseudoprimes of the form ax+b with respect to the sequence of Lehmer, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 20 (1972), 349-354. Zbl0249.10012
  4. [4] A. Rotkiewicz, On Euler Lehmer pseudoprimes and strong Lehmer pseudoprimes with parameters L, Q in arithmetic progressions, Math. Comp. 39 (1982), 239-247. Zbl0492.10002
  5. [5] A. Schinzel, The intrinsic divisors of Lehmer numbers in the case of negative discriminant, Ark. Mat. 4 (1962), 413-416. Zbl0106.03105
  6. [6] C. L. Stewart, Primitive divisors of Lucas and Lehmer numbers, in: Transcendence Theory: Advances and Applications, Academic Press, 1977, 79-92. 
  7. [7] M. Ward, The intrinsic divisors of Lehmer numbers, Ann. of Math. (2) 62 (1955), 230-236. Zbl0065.27102

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