Values of the Dedekind Eta Function at Quadratic Irrationalities
نویسندگان
چکیده
منابع مشابه
Values of the Dedekind Eta Function at Quadratic Irrationalities
Let d be the discriminant of an imaginary quadratic field. Let a, b, c be integers such that b − 4ac = d, a > 0, gcd(a, b, c) = 1. The value of |η ( (b + √ d)/2a ) | is determined explicitly, where η(z) is Dedekind’s eta function η(z) = e ∞ ∏ m=1 (1− e) ( im(z) > 0 ) .
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ژورنال
عنوان ژورنال: Canadian Journal of Mathematics
سال: 1999
ISSN: 0008-414X,1496-4279
DOI: 10.4153/cjm-1999-011-1