Special values of $L$-functions attached to $X_1( N)$

S. Kamienny; G. Stevens

Displaying similar documents to “Special values of $L$ -functions attached to $X_{1} (N)$ ”

The lifted root number conjecture for fields of prime degree over the rationals: an approach via trees and Euler systems

Cornelius Greither, Radiu Kučera (2002)

Annales de l’institut Fourier

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The so-called Lifted Root Number Conjecture is a strengthening of Chinburg’s $Ω (3)$ - conjecture for Galois extensions $K / F$ of number fields. It is certainly more difficult than the $Ω (3)$ -localization. Following the lead of Ritter and Weiss, we prove the Lifted Root Number Conjecture for the case that $F = ℚ$ and the degree of $K / F$ is an odd prime, with another small restriction on ramification. The very explicit calculations with cyclotomic units use trees and some classical combinatorics for bookkeeping....

On the rationality of periods of primitive forms

Kazuyuki Hatada (1981)

Acta Arithmetica

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Primitive newforms of weight 3/2

Thomas Shemanske (1984)

Acta Arithmetica

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Modular curves and unramified extensions of number fields

S. Kamienny (1982)

Compositio Mathematica

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Jacobi-sum Hecke characters and Gauss-sum identities

Daniel S. Kubert, Stephen Lichtenbaum (1983)

Compositio Mathematica

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Connections between $B_{2, χ}$ for even quadratic Dirichlet characters $χ$ and class numbers of appropriate imaginary quadratic fields, II

Jerzy Urbanowicz (1990)

Compositio Mathematica

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On character sums and the non-vanishing for s > 0 of Dirichlet L-series belonging to real odd characters χ

S. Chowla, I. Kessler, M. Livingston (1977)

Acta Arithmetica

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Displaying similar documents to “Special values of L -functions attached to X 1 ( N ) ”

The lifted root number conjecture for fields of prime degree over the rationals: an approach via trees and Euler systems

On the rationality of periods of primitive forms

Primitive newforms of weight 3/2

Modular curves and unramified extensions of number fields

Jacobi-sum Hecke characters and Gauss-sum identities

Connections between B 2 , χ for even quadratic Dirichlet characters χ and class numbers of appropriate imaginary quadratic fields, II

On character sums and the non-vanishing for s > 0 of Dirichlet L-series belonging to real odd characters χ

Displaying similar documents to “Special values of $L$ -functions attached to $X_{1} (N)$ ”

Connections between $B_{2, χ}$ for even quadratic Dirichlet characters $χ$ and class numbers of appropriate imaginary quadratic fields, II