The number of representations of some positive integers by binary forms
Volume 183 / 2018
Acta Arithmetica 183 (2018), 277-283
MSC: 11E16, 11E25.
DOI: 10.4064/aa170717-2-12
Published online: 6 April 2018
Abstract
We show how the representation number of some positive integers by binary forms belonging to multi-class genera can be computed by linking those forms to other forms whose genus consists of a single class. The formulas for the number of representations of a positive integer by a binary quadratic form which belongs to a one-class genus are known. The relationship between forms belonging to multi-class genera with forms of a single class is obtained by elementary means.
