Square Lehmer numbers

Wayne McDaniel

Colloquium Mathematicae (1993)

  • Volume: 66, Issue: 1, page 85-93
  • ISSN: 0010-1354

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McDaniel, Wayne. "Square Lehmer numbers." Colloquium Mathematicae 66.1 (1993): 85-93. <http://eudml.org/doc/210237>.

@article{McDaniel1993,
author = {McDaniel, Wayne},
journal = {Colloquium Mathematicae},
keywords = {perfect squares; Lehmer sequences; congruences; Jacobi symbol},
language = {eng},
number = {1},
pages = {85-93},
title = {Square Lehmer numbers},
url = {http://eudml.org/doc/210237},
volume = {66},
year = {1993},
}

TY - JOUR
AU - McDaniel, Wayne
TI - Square Lehmer numbers
JO - Colloquium Mathematicae
PY - 1993
VL - 66
IS - 1
SP - 85
EP - 93
LA - eng
KW - perfect squares; Lehmer sequences; congruences; Jacobi symbol
UR - http://eudml.org/doc/210237
ER -

References

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  1. [1] J. H. E. Cohn, Eight Diophantine equations, Proc. London Math. Soc. (3) 16 (1966), 153-166. Zbl0136.02806
  2. [2] J. H. E. Cohn, Five Diophantine equations, Math. Scand. 21 (1967), 61-70. Zbl0169.37401
  3. [3] J. H. E. Cohn, Squares in some recurrent sequences, Pacific J. Math. (3) 41 (1972), 631-646. Zbl0248.10016
  4. [4] D. H. Lehmer, An extended theory of Lucas' functions, Ann. of Math. 31 (1930), 419-448. Zbl56.0874.04
  5. [5] W. L. McDaniel, The g.c.d. in Lucas sequences and Lehmer number sequences, Fibonacci Quart. 29 (1991), 24-29. Zbl0732.11008
  6. [6] W. L. McDaniel and P. Ribenboim, The square terms in Lucas sequences, to appear. Zbl0851.11011
  7. [7] A. Rotkiewicz, Applications of Jacobi's symbol to Lehmer's numbers, Acta Arith. 42 (1983), 163-187. Zbl0519.10004

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