Cubic norms represented by quadratic sequences

Jacek Pomykała

Colloquium Mathematicae (1993)

  • Volume: 66, Issue: 2, page 283-297
  • ISSN: 0010-1354

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Pomykała, Jacek. "Cubic norms represented by quadratic sequences." Colloquium Mathematicae 66.2 (1993): 283-297. <http://eudml.org/doc/210249>.

@article{Pomykała1993,
author = {Pomykała, Jacek},
journal = {Colloquium Mathematicae},
keywords = {cubic normal extension; sieve methods; Kloosterman sums},
language = {eng},
number = {2},
pages = {283-297},
title = {Cubic norms represented by quadratic sequences},
url = {http://eudml.org/doc/210249},
volume = {66},
year = {1993},
}

TY - JOUR
AU - Pomykała, Jacek
TI - Cubic norms represented by quadratic sequences
JO - Colloquium Mathematicae
PY - 1993
VL - 66
IS - 2
SP - 283
EP - 297
LA - eng
KW - cubic normal extension; sieve methods; Kloosterman sums
UR - http://eudml.org/doc/210249
ER -

References

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  1. [1] E. Bombieri, J. B. Friedlander and H. Iwaniec, Primes in arithmetic progressions to large moduli. II, Math. Ann. 277 (1987), 361-393. Zbl0625.10036
  2. [2] J. M. Deshouillers and H. Iwaniec, Kloosterman sums and Fourier coefficients of cusp forms, Invent. Math. 70 (1982), 219-288. 
  3. [3] J. Friedlander and H. Iwaniec, Quadratic polynomials and quadratic forms, Acta Math. 141 (1978), 1-15. Zbl0393.10049
  4. [4] H. Iwaniec, On sums of two norm from cubic fields, in: Journées de théorie additive des nombres, Univ. de Bordeaux I, 1977, 71-89. 
  5. [5] H. Iwaniec, Rosser's sieve, Acta Arith. 36 (1980), 171-202. 
  6. [6] H. Iwaniec, On the greatest prime factor of n 2 + 1 , Ann. Inst. Fourier (Grenoble) 32 (4) (1982), 1-11. Zbl0489.10038
  7. [7] H. Iwaniec and J. Pomykała, Sums and differences of quartic norms, Mathematika, to appear. 
  8. [8] J. Pomykała, On the greatest prime divisor of quadratic sequences, Sém. Théorie des Nombres Bordeaux 3 (1991), 361-375. Zbl0762.11030
  9. [9] H. J. S. Smith, Report on the theory of numbers, Part III, Report of the British Association for 1861, 292-340; reprinted in: The Collected Mathematical Papers of Henry John Stephen Smith, Vol. I, Chelsea, 1965, 163-228. 

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