Heights and L-Series
1990 ◽
Vol 42
(3)
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pp. 533-560
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Keyword(s):
Let be a cusp form of weight 2k and trivial character for Γ0(N), where N is prime, which is orthogonal with respect to the Petersson product to all forms g(dz), where g is of level L < N, dL\N. Let K be an imaginary quadratic field of discriminant — D where the prime N is inert. Denote by ∊ the quadratic character of determined by ∊(p) = (—D/p) for primes p not dividing D. For A an ideal class in K, let rA(m) be the number of integral ideals of norm m in A. We will be interested in the Dirichlet series L(f,A,s) defined by
1971 ◽
Vol 43
◽
pp. 199-208
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1984 ◽
Vol 25
(1)
◽
pp. 107-119
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Keyword(s):
Keyword(s):
1989 ◽
Vol 105
(1)
◽
pp. 13-24
2005 ◽
Vol 57
(3)
◽
pp. 375-394
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Keyword(s):
1993 ◽
Vol 117
(3)
◽
pp. 613-613
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Keyword(s):
2011 ◽
Vol 63
(6)
◽
pp. 1220-1537
◽
2019 ◽
Vol 71
(3)
◽
pp. 1005-1026
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