On the greatest prime divisor of quadratic sequences

J. Pomykała

Journal de théorie des nombres de Bordeaux (1991)

  • Volume: 3, Issue: 2, page 361-375
  • ISSN: 1246-7405

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Pomykała, J.. "On the greatest prime divisor of quadratic sequences." Journal de théorie des nombres de Bordeaux 3.2 (1991): 361-375. <http://eudml.org/doc/93545>.

@article{Pomykała1991,
author = {Pomykała, J.},
journal = {Journal de théorie des nombres de Bordeaux},
keywords = {greatest prime divisor; thin set of primes; multilinear forms in Kloosterman sums},
language = {eng},
number = {2},
pages = {361-375},
publisher = {Université Bordeaux I},
title = {On the greatest prime divisor of quadratic sequences},
url = {http://eudml.org/doc/93545},
volume = {3},
year = {1991},
}

TY - JOUR
AU - Pomykała, J.
TI - On the greatest prime divisor of quadratic sequences
JO - Journal de théorie des nombres de Bordeaux
PY - 1991
PB - Université Bordeaux I
VL - 3
IS - 2
SP - 361
EP - 375
LA - eng
KW - greatest prime divisor; thin set of primes; multilinear forms in Kloosterman sums
UR - http://eudml.org/doc/93545
ER -

References

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  1. [1] J.-M. Deshouillers and H. Iwaniec, On the greatest prime factor of n2 + 1, Ann. Inst. Fourier, Grenoble32, 4(1982), 1-11. Zbl0489.10038MR694125
  2. [2] J.-M. Deshouillers and H. Iwaniec, Kloosterman sums and Fourier coefficients of cusp forms, Inv. math.70 (1982), 219-288. Zbl0502.10021MR684172
  3. [3] C. Hooley, Applications of sieve methods to the theory of numbers, Cambridge University Press, London (1976). Zbl0327.10044MR404173
  4. [4] C. Hooley, On the greatest prime factor of a quadratic polynomial, Acta Math.117 (1967), 281-299. Zbl0146.05704MR204383
  5. [5] H. Iwaniec, Rosser's sieve, Acta Arith.36 (1980), 171-202. Zbl0435.10029MR581917
  6. [6] H.J.S. Smith, Report on the theory of numbers, Collected Mathematical Papers, vol. I, reprint, Chelsea, 1965. 

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