Class fields and modular forms of weight one

Author(s):  
H. M. Stark
Author(s):  
Sara Arias-de-Reyna ◽  
François Legrand ◽  
Gabor Wiese
Keyword(s):  

1985 ◽  
Vol 100 ◽  
pp. 145-162 ◽  
Author(s):  
Toyokazu Hiramatsu ◽  
Yoshio Mimura

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.


1997 ◽  
Vol 67 (2) ◽  
pp. 215-228 ◽  
Author(s):  
Gunther Cornelissen

2015 ◽  
Vol 2015 (703) ◽  
pp. 1-25 ◽  
Author(s):  
Sanoli Gun ◽  
Joseph Oesterlé

AbstractSerre proved that any holomorphic cusp form of weight one for Γ


2016 ◽  
Vol 40 (2) ◽  
pp. 325-354 ◽  
Author(s):  
Henri Darmon ◽  
Alan Lauder ◽  
Victor Rotger

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