Series ?F(m)qm, where F(m) is the number of odd classes of binary quadratic forms of determinant ?m-Reference-Cited by-同舟云学术

Series ?F(m)qm, where F(m) is the number of odd classes of binary quadratic forms of determinant ?m

Published:1981-09 Issue:2 Volume:17 Page:1759-1766
ISSN:0090-4104
Container-title:Journal of Soviet Mathematics
language:en
Short-container-title:J Math Sci

Author:

Golubeva E. P.,Fomenko O. M.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability,Applied Mathematics,General Mathematics,Statistics and Probability

Link

http://link.springer.com/content/pdf/10.1007/BF01091762.pdf

Reference11 articles.

1. L. J. Mordell, ?On the generating function of the series ?F(n)qn, where F(n) is the number of uneven classes of binary quadratics of determinant ?n,? Messenger Math.,50, No. 8, 113?128 (1920).

2. L. J. Mordell, ?On some series whose n-th term involves the number of classes of binary quadratics of determinant-n,? Messenger Math.,49, No. 5, 65?72 (1919).

3. C. L. Siegel, ?Über die Zetafunktionen indefiniter quadratischer Formen,? Math. Zeit.,43, No. 5, 682?708 (1938).

4. M. Eichler, ?On the class number of imaginary quadratic fields and the sums of divisors of natural numbers,? J. Indian Math. Soc.,19, Nos. 3?4, 153?180 (1955).

5. P. T. Bateman, ?On the representations of a number as the sum of three squares,? Trans. Am. Math. Soc.,71, No. 1, 70?101 (1951).

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