denotes the norm of the ideal
.
I may mention three more special problems in number theory: one on the laws of reciprocity, one on diophantine equations, and a third from the realm of quadratic forms.
[21] Cf. an article by H. von Koch, which is soon to appear in the Math. Annalen [Vol. 55, p. 441].
[22] Cf. P. Stäckel: "Über Goldbach's empirisches Theorem," Nachrichten d. K. Ges. d. Wiss. zu Göttingen, 1896, and Landau, ibid., 1900.
9. PROOF OF THE MOST GENERAL LAW OF RECIPROCITY IN ANY NUMBER FIELD.
For any field of numbers the law of reciprocity is to be proved for the residues of the
th power, when