Hecke’s Integral Formula for Relative Quadratic Extensions of Algebraic Number Fields
2008 ◽
Vol 189
◽
pp. 139-154
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Keyword(s):
AbstractLet K/F be a quadratic extension of number fields. After developing a theory of the Eisenstein series over F, we prove a formula which expresses a partial zeta function of K as a certain integral of the Eisenstein series. As an application, we obtain a limit formula of Kronecker’s type which relates the 0-th Laurent coefficients at s = 1 of zeta functions of K and F.
2000 ◽
Vol 76
(5)
◽
pp. 78-81
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1986 ◽
Vol 62
(1)
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pp. 33-36
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Keyword(s):
The Large Sieve Inequality for Algebraic Number Fields. II: Means of Moments of Hecke Zeta-Functions
1970 ◽
Vol s3-21
(1)
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pp. 108-128
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Keyword(s):
1992 ◽
Vol 40
(2)
◽
pp. 187-210
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Keyword(s):
Keyword(s):