On the divisors of ak+bk
Pieter Moree
Acta Arithmetica, Tome 80 (1997), p. 197-212 / Harvested from The Polish Digital Mathematics Library
Publié le : 1997-01-01
EUDML-ID : urn:eudml:doc:207037
@article{bwmeta1.element.bwnjournal-article-aav80i3p197bwm,
     author = {Pieter Moree},
     title = {On the divisors of $a^k + b^k$
            },
     journal = {Acta Arithmetica},
     volume = {80},
     year = {1997},
     pages = {197-212},
     zbl = {0884.11019},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav80i3p197bwm}
}
Pieter Moree. On the divisors of $a^k + b^k$
            . Acta Arithmetica, Tome 80 (1997) pp. 197-212. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav80i3p197bwm/

[000] [1] C. Ballot, Density of prime divisors of linear recurrences, Mem. Amer. Math. Soc. 551, 1995.

[001] [2] A. Brauer, A note on a number theoretical paper of Sierpi/nski, Proc. Amer. Math. Soc. 11 (1960), 406-409. | Zbl 0096.02603

[002] [3] P. Chowla, On the representation of -1 as a sum of squares in a cyclotomic field, J. Number Theory 1 (1969), 208-210. | Zbl 0177.07401

[003] [4] P. Chowla and S. Chowla, Determination of the Stufe of certain cyclotomic fields, ibid. 2 (1970), 271-272.

[004] [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. | Zbl 0226.12003

[005] [6] H. Halberstam, unpublished manuscript, 1995.

[006] [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. | Zbl 0139.27501

[007] [8] E. V. Krishnamurthy, An observation concerning the decimal periods of prime reciprocals, J. Recreational Math. 24 (1969), 212-213.

[008] [9] E. S. Lander, Symmetric Designs: An Algebraic Approach, Cambridge University Press, Cambridge, 1983. | Zbl 0502.05010

[009] [10] P. Moree, Psixyology and Diophantine equations, Ph.D. Thesis, Leiden University, 1993. | Zbl 0784.11046

[010] [11] P. Moree, Counting divisors of Lucas numbers, MPI-Bonn preprint No. 34, 1996.

[011] [12] R. W. K. Odoni, A conjecture of Krishnamurthy on decimal periods and some allied problems, J. Number Theory 13 (1981), 303-319. | Zbl 0471.10031

[012] [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. | Zbl 0757.11014

[013] [14] V. Pless, P. Solé and Z. Qian, Cyclic self dual ℤ₄-codes, Finite Fields Appl. 3 (1997), 48-69. | Zbl 1053.94573

[014] [15] A. G. Postnikov, Introduction to Analytic Number Theory, Transl. Math. Monographs 68, Amer. Math. Soc., Providence, R.I., 1988. | Zbl 0641.10001

[015] [16] A. R. Rajwade, Squares, Cambridge University Press, 1993.

[016] [17] W. Sierpi/nski, Sur une décomposition des nombres premiers en deux classes, Collect. Math. 10 (1958), 81-83.

[017] [18] K. Wiertelak, On the density of some sets of primes. I, II, Acta Arith. 34 (1977/78), 183-196, 197-210. | Zbl 0373.10029

[018] [19] K. Wiertelak, On the density of some sets of primes. III, Funct. Approx. Comment. Math. 10 (1981), 93-103. | Zbl 0461.10039

[019] [20] K. Wiertelak, On the density of some sets of primes. IV, Acta Arith. 43 (1984), 177-190. | Zbl 0531.10049

[020] [21] K. Wiertelak, On the density of some sets of primes p, for which ordp(n)=d, Funct. Approx. Comment. Math. 21 (1992), 69-73. | Zbl 0780.11045