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We give a new interpretation of Stark units associated to real quadratic fields as real multiplication values of a modular cocycle.
The theory of the double gamma function
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Darstellung der Funktionen eines algebraischen Körpers zweier unabhängigen Veränderlichen x , y x,y in der Umgebung einer Stelle x = a , y = b x=a,\ y=b
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Affine root systems and Dedekind’s η \eta -function
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Topics in Analytic Number Theory
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H. M. Stark · 1975
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On evaluation of zeta functions of totally real algebraic number fields at non-positive integers
T. Shintani · 1976
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L L -functions at s = 1 s=1 . III. Totally real fields and Hilbert’s twelfth problem
H. M. Stark · 1976
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On a Kronecker limit formula for real quadratic fields
T. Shintani · 1977
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H. M. Stark · 1977
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On certain ray class invariants of real quadratic fields
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On Stark’s conjectures on the behavior of L ( s , χ ) L(s,\chi) at s = 0 s=0
J. Tate · 1981
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Generalized eta-functions and certain ray class invariants of real quadratic fields
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The backward continued fraction map and geodesic flow
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On semi-regular finite continued fractions
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Brumer elements over a real quadratic base field
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Y. Y. Finkel’shtein · 1993
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Eisenstein group cocycles for GL n {\rm GL}_{n} and values of L L -functions
R. Sczech · 1993
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V. V. Bazhanov and N. Y. Reshetikhin · 1995
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