On the divisors of $a^k + b^k$

• Autorzy: Pieter Moree
• Języki publikacji: EN

Kategorie tematyczne

• 11N25: Distribution of integers with specified multiplicative constraints
• 11B83: Special sequences and polynomials

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1997
• Tom: 80
• Numer: 3
• Strony: 197-212

Daty

wydano

1997

otrzymano

1996-01-02

poprawiono

1996-10-28

Twórcy

autor

Pieter Moree

• Max-Planck-Institut für Mathematik, Gottfried-Claren Str. 26, 53225 Bonn, Germany

Bibliografia

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• [4] P. Chowla and S. Chowla, Determination of the Stufe of certain cyclotomic fields, ibid. 2 (1970), 271-272.
• [5] B. Fein, B. Gordon and J. H. Smith, On the representation of -1 as a sum of two squares in an algebraic number field, ibid. 3 (1971), 310-315.
• [6] H. Halberstam, unpublished manuscript, 1995.
• [7] H. Hasse, Über die Dichte der Primzahlen p, für die eine vorgegebene ganzrationale Zahl a ≠ 0 von gerader bzw. ungerader Ordnung mod. p ist, Math. Ann. 166 (1966), 19-23.
• [8] E. V. Krishnamurthy, An observation concerning the decimal periods of prime reciprocals, J. Recreational Math. 24 (1969), 212-213.
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• [10] P. Moree, Psixyology and Diophantine equations, Ph.D. Thesis, Leiden University, 1993.
• [11] P. Moree, Counting divisors of Lucas numbers, MPI-Bonn preprint No. 34, 1996.
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• [13] R. W. K. Odoni, A problem of Rankin on sums of powers of cusp-form coefficients, J. London Math. Soc. 44 (1991), 203-217.
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• [16] A. R. Rajwade, Squares, Cambridge University Press, 1993.
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• [20] K. Wiertelak, On the density of some sets of primes. IV, Acta Arith. 43 (1984), 177-190.
• [21] K. Wiertelak, On the density of some sets of primes p, for which $ord_p(n) = d$, Funct. Approx. Comment. Math. 21 (1992), 69-73.