On the irreducibility of neighbouring polynomials

K. Győry

Acta Arithmetica (1994)

  • Volume: 67, Issue: 3, page 283-294
  • ISSN: 0065-1036

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K. Győry. "On the irreducibility of neighbouring polynomials." Acta Arithmetica 67.3 (1994): 283-294. <http://eudml.org/doc/206632>.

@article{K1994,
author = {K. Győry},
journal = {Acta Arithmetica},
keywords = {irreducibility of polynomials; partial solution to Turán’s problem; resultant; decomposable form equation},
language = {eng},
number = {3},
pages = {283-294},
title = {On the irreducibility of neighbouring polynomials},
url = {http://eudml.org/doc/206632},
volume = {67},
year = {1994},
}

TY - JOUR
AU - K. Győry
TI - On the irreducibility of neighbouring polynomials
JO - Acta Arithmetica
PY - 1994
VL - 67
IS - 3
SP - 283
EP - 294
LA - eng
KW - irreducibility of polynomials; partial solution to Turán’s problem; resultant; decomposable form equation
UR - http://eudml.org/doc/206632
ER -

References

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  1. [1] R. K. Guy (ed.), Reviews in Number Theory, 1973-83 , Vol. I, Ch. C, Amer. Math. Soc., Providence, R.I., 1984. 
  2. [2] K. Győry, On the irreducibility of a class of polynomials, III , J. Number Theory 15 (1982), 164-181. Zbl0509.12001
  3. [3] K. Győry, On the irreducibility of a class of polynomials, IV , Acta Arith. 62 (1992), 399-405. Zbl0772.11042
  4. [4] K. Győry, On the numbers of solutions of systems of decomposable form equations, Publ. Math. Debrecen 42 (1993), 65-101. Zbl0792.11004
  5. [5] K. Győry, Some applications of decomposable form equations, Colloq. Math. 65 (1993), 267-275. Zbl0820.11018
  6. [6] K. Győry, On a problem of A. M. Odlyzko on algebraic units of bounded degree, Acta Math. Hungar., to appear. Zbl0862.11061
  7. [7] K. Győry and J. Rimán, On irreducibility criteria of Schur type, Mat. Lapok 24 (1973), 225-253 (in Hungarian). Zbl0366.12014
  8. [8] K. Langmann, Der Hilbertsche Irreduzibilitätssatz und Primzahlfragen, J. Reine Angew. Math. 413 (1991), 213-219. 
  9. [9] W. J. LeVeque (ed.), Reviews in Number Theory, 1940-72 , Vol. I, Ch. C, Amer. Math. Soc., Providence, R.I., 1974. 
  10. [10] L. Rédei, Algebra, Akadémiai Kiadó, Budapest, 1967. 
  11. [11] J. B. Rosser and L. Schoenfeld, Approximate formulas for some functions of prime numbers, Illinois J. Math. 6 (1962), 64-94. Zbl0122.05001
  12. [12] A. Schinzel, Reducibility of polynomials and covering systems of congruences, Acta Arith. 13 (1967), 91-101. Zbl0171.00701
  13. [13] A. Schinzel, Reducibility of lacunary polynomials II, Acta Arith. 16 (1970), 371-392. Zbl0206.05204
  14. [14] A. Schinzel, Selected Topics on Polynomials, University of Michigan, Ann Arbor, 1982. 
  15. [15] H. P. Schlickewei, S-unit equations over number fields, Invent. Math. 102 (1990), 95-107. Zbl0711.11017
  16. [16] H. P. Schlickewei, The quantitative Subspace Theorem for number fields, Compositio Math. 82 (1992), 245-273. Zbl0751.11033
  17. [17] W. M. Schmidt, Simultaneous approximation to algebraic numbers by elements of a number field, Monatsh. Math. 79 (1975), 55-66. Zbl0317.10042
  18. [18] T. N. Shorey and R. Tijdeman, Exponential Diophantine Equations, Cambridge University Press, 1986. Zbl0606.10011
  19. [19] R. G. Swan, Factorization of polynomials over finite fields, Pacific J. Math. 12 (1962), 1099-1106. Zbl0113.01701
  20. [20] N. Tschebotaröw und H. Schwerdtfeger, Grundzüge der Galois'schen Theorie, Noordhoff, Groningen/Djakarta, 1950. 

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