单词 | Heegner Number |
释义 | Heegner NumberThe values of The determination of these numbers is called Gauss's Class Number Problem, and it is now knownthat there are only nine Heegner numbers: Heilbronn and Linfoot (1934) showed that if a larger The Heegner numbers have a number of fascinating connections with amazing results in Prime Number theory.In particular, the j-Function provides stunning connections between
Conway, J. H. and Guy, R. K. ``The Nine Magic Discriminants.'' In The Book of Numbers. New York: Springer-Verlag, pp. 224-226, 1996. Heegner, K. ``Diophantische Analysis und Modulfunktionen.'' Math. Z. 56, 227-253, 1952. Heilbronn, H. A. and Linfoot, E. H. ``On the Imaginary Quadratic Corpora of Class-Number One.'' Quart. J. Math. (Oxford) 5, 293-301, 1934. Sloane, N. J. A. SequenceA003173/M0827in ``An On-Line Version of the Encyclopedia of Integer Sequences.''http://www.research.att.com/~njas/sequences/eisonline.html and Sloane, N. J. A. and Plouffe, S.The Encyclopedia of Integer Sequences. San Diego: Academic Press, 1995. |
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