Cubic norms represented by quadratic sequences

• Autorzy: Jacek Pomykała
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1993
• Tom: 66
• Numer: 2
• Strony: 283-297

Daty

wydano

1993

otrzymano

1989-12-13

poprawiono

1993-04-15

Twórcy

autor

Jacek Pomykała

• Institute of Mathematics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

Bibliografia

• [1] E. Bombieri, J. B. Friedlander and H. Iwaniec, Primes in arithmetic progressions to large moduli. II, Math. Ann. 277 (1987), 361-393.
• [2] J. M. Deshouillers and H. Iwaniec, Kloosterman sums and Fourier coefficients of cusp forms, Invent. Math. 70 (1982), 219-288.
• [3] J. Friedlander and H. Iwaniec, Quadratic polynomials and quadratic forms, Acta Math. 141 (1978), 1-15.
• [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] H. Iwaniec, Rosser's sieve, Acta Arith. 36 (1980), 171-202.
• [6] H. Iwaniec, On the greatest prime factor of $n^2+1$, Ann. Inst. Fourier (Grenoble) 32 (4) (1982), 1-11.
• [7] H. Iwaniec and J. Pomykała, Sums and differences of quartic norms, Mathematika, to appear.
• [8] J. Pomykała, On the greatest prime divisor of quadratic sequences, Sém. Théorie des Nombres Bordeaux 3 (1991), 361-375.
• [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.