History of the Theory of Numbers

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History of the Theory of Numbers is a three-volume reference work by Leonard Eugene Dickson that surveys number theory up to about 1920. The volumes were published starting in 1919 by the Carnegie Institution of Washington in English. The total pages are 1,602 (Vol I: 486, Vol II: 803, Vol III: 313). Dickson’s style is to compile results from many authors with little extra discussion. The central topics of quadratic reciprocity and higher reciprocity laws are only touched on briefly, a gap that was meant to be filled by a fourth volume that was never written. It remains a key historical reference in the study of number theory.