The Journal of the Indian Mathematical Society

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On Recurrence Formulae for the Number of Classes of Definite Binary Quadratic Forms


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1 St. Johp's College, Cambridge, England, United Kingdom
     

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Let F(m), (m > 0) denote the number of uneven classes of forms AX2 + 2BXY + CY2 (i.e. A and B not both even) of determinant - m = B2 - AC and with the convention that F(0) = 0 and that the class (A, 0, A) is reckoned as 1|2 .
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  • On Recurrence Formulae for the Number of Classes of Definite Binary Quadratic Forms

Abstract Views: 193  |  PDF Views: 0

Authors

L. J. Mordell
St. Johp's College, Cambridge, England, United Kingdom

Abstract


Let F(m), (m > 0) denote the number of uneven classes of forms AX2 + 2BXY + CY2 (i.e. A and B not both even) of determinant - m = B2 - AC and with the convention that F(0) = 0 and that the class (A, 0, A) is reckoned as 1|2 .