Abstract
For each positive integer D which exceeds 1 and which satisfies one of the conditions −D ≡ 0, 1(mod 4), let h(−D) denote the number of classes of primitive binary quadratic forms whose discriminant is −D. In the present chapter we shall show how the study of the global distribution of the values of h(−D) may be reduced to the consideration of sums of independent random variables. Concerning the local distribution, such as when h(−D)= 1, we shall have nothing to say.
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© 1980 Springer-Verlag New York Inc.
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Elliott, P.D.T.A. (1980). The Distribution of the Quadratic Class Number. In: Probabilistic Number Theory II. Grundlehren der mathematischen Wissenschaften, vol 240. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-9992-9_12
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DOI: https://doi.org/10.1007/978-1-4612-9992-9_12
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-9994-3
Online ISBN: 978-1-4612-9992-9
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