The modular equation and modular forms of weight one
1985 ◽
Vol 100
◽
pp. 145-162
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Keyword(s):
This is a continuation of the previous paper [8] concerning the relation between the arithmetic of imaginary quadratic fields and cusp forms of weight one on a certain congruence subgroup. Let K be an imaginary quadratic field, say K = with a prime number q ≡ − 1 mod 8, and let h be the class number of K. By the classical theory of complex multiplication, the Hubert class field L of K can be generated by any one of the class invariants over K, which is necessarily an algebraic integer, and a defining equation of which is denoted byΦ(x) = 0.
1971 ◽
Vol 43
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pp. 199-208
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1973 ◽
Vol 25
(4)
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pp. 547-555
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Keyword(s):
2014 ◽
Vol 915-916
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pp. 1336-1340
2005 ◽
Vol 57
(6)
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pp. 1155-1177
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2015 ◽
Vol 151
(9)
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pp. 1585-1625
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1983 ◽
Vol 26
(3)
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pp. 280-282
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Keyword(s):
2018 ◽
Vol 61
(1)
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pp. 85-114
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Keyword(s):