On the number of irreducible polynomials with 0,1 coefficients

S. V. Konyagin

Acta Arithmetica (1999)

  • Volume: 88, Issue: 4, page 333-350
  • ISSN: 0065-1036

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S. V. Konyagin. "On the number of irreducible polynomials with 0,1 coefficients." Acta Arithmetica 88.4 (1999): 333-350. <http://eudml.org/doc/207251>.

@article{S1999,
author = {S. V. Konyagin},
journal = {Acta Arithmetica},
keywords = {polynomials; irreducibility},
language = {eng},
number = {4},
pages = {333-350},
title = {On the number of irreducible polynomials with 0,1 coefficients},
url = {http://eudml.org/doc/207251},
volume = {88},
year = {1999},
}

TY - JOUR
AU - S. V. Konyagin
TI - On the number of irreducible polynomials with 0,1 coefficients
JO - Acta Arithmetica
PY - 1999
VL - 88
IS - 4
SP - 333
EP - 350
LA - eng
KW - polynomials; irreducibility
UR - http://eudml.org/doc/207251
ER -

References

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  1. [1] I. Bárány and Z. Füredi, Computing the volume is difficult, Discrete Comput. Geom. 2 (1987), 319-326. Zbl0628.68041
  2. [2] J. Brillhart, M. Filaseta and A. M. Odlyzko, On an irreducibility theorem of A. Cohn, Canad. J. Math. 33 (1981), 1055-1059. Zbl0481.12006
  3. [3] E. Dobrowolski, On a question of Lehmer and the number of irreducible factors of a polynomial, Acta Arith. 34 (1979), 391-401. Zbl0416.12001
  4. [4] M. Filaseta, Irreducibility criteria for polynomials with nonnegative coefficients, Canad. J. Math. 40 (1988), 339-351. 
  5. [5] L. Kronecker, Zwei Sätze über Gleichungen mit ganzzahligen Coefficienten, J. Reine Angew. Math. 53 (1857), 133-175. 
  6. [6] R. Lidl and H. Niederreiter, Finite Fields, Addison-Wesley, 1983. 
  7. [7] A. M. Odlyzko and B. Poonen, Zeros of polynomials with 0,1 coefficients, Enseign. Math. 39 (1993), 317-348. 
  8. [8] K. Prachar, Primzahlverteilung, Springer, Berlin, 1957. 
  9. [9] V. Tikhomirov, Some Problems of Approximation Theory, Moscow State University, Moscow, 1976 (in Russian). 
  10. [10] E. C. Titchmarsh, The Theory of Functions, 2nd ed., Oxford Univ. Press, 1939. Zbl0022.14602

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