On the $L$-functions of canonical Hecke characters of imaginary quadratic fields, II

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On the $L$-functions of canonical Hecke characters of imaginary quadratic fields, II

Hugh L. Montgomery and David E. Rohrlich

Source: Duke Math. J. Volume 49, Number 4 (1982), 937-942.

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Related Works:

See also: David E. Rohrlich. On the $L$-functions of canonical Hecke characters of imaginary quadratic fields. Duke Math. J. Vol. 47, No. 3 (1980), pp. 547–557.

Project Euclid: euclid.dmj/1077314180

Primary Subjects: 12A70

Secondary Subjects: 10D24, 14K07

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077315537
Mathematical Reviews number (MathSciNet): MR683009
Zentralblatt MATH identifier: 0523.12010
Digital Object Identifier: doi:10.1215/S0012-7094-82-04945-6

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References

[1] B. H. Gross, Arithmetic on elliptic curves with complex multiplication, Lecture Notes in Mathematics, vol. 776, Springer, Berlin, 1980.

Mathematical Reviews (MathSciNet): MR81f:10041

Zentralblatt MATH: 0433.14032

[2] D. E. Rohrlich, The nonvanishing of certain Hecke $L$-functions at the center of the critical strip, Duke Math. J. 47 (1980), no. 1, 223–232.

Mathematical Reviews (MathSciNet): MR81k:12017

Zentralblatt MATH: 0434.12007

Digital Object Identifier: doi:10.1215/S0012-7094-80-04716-X

Project Euclid: euclid.dmj/1077313872

[3] D. E. Rohrlich, On the $L$-functions of canonical Hecke characters of imaginary quadratic fields, Duke Math. J. 47 (1980), no. 3, 547–557.

Mathematical Reviews (MathSciNet): MR81m:12020

Zentralblatt MATH: 0446.12010

Digital Object Identifier: doi:10.1215/S0012-7094-80-04733-X

Project Euclid: euclid.dmj/1077314180

[4] D. E. Rohrlich, Galois conjugacy of unramified twists of Hecke characters, Duke Math. J. 47 (1980), no. 3, 695–703.

Mathematical Reviews (MathSciNet): MR82a:12009

Zentralblatt MATH: 0446.12011

Digital Object Identifier: doi:10.1215/S0012-7094-80-04742-0

Project Euclid: euclid.dmj/1077314189

[5] D. E. Rohrlich, Root numbers of Hecke $L$-functions of CM fields, Amer. J. Math. 104 (1982), no. 3, 517–543.

Mathematical Reviews (MathSciNet): MR83j:12011

Zentralblatt MATH: 0503.12008

Digital Object Identifier: doi:10.2307/2374152

JSTOR: links.jstor.org

[6] K. Rubin, Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer, Invent. Math. 64 (1981), no. 3, 455–470.

Mathematical Reviews (MathSciNet): MR83f:10034

Zentralblatt MATH: 0506.14039

Digital Object Identifier: doi:10.1007/BF01389277

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