Eisenstein cocycles over imaginary quadratic fields and special values of L-functions
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DOI: 10.1016/j.jnt.2019.04.016
Abstract: Abstract We generalize Sczech's Eisenstein cocycle for G L ( n ) over totally real extensions of Q to finite extensions of imaginary quadratic fields. By evaluating the cocycle on certain cycles, we parametrize complex… read more here.
Keywords: values functions; cocycles imaginary; imaginary quadratic; eisenstein cocycles ... See more keywords
Distribution of Class Numbers in Continued Fraction Families of Real Quadratic Fields
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DOI: 10.1017/s0013091518000159
Abstract: Abstract We construct a random model to study the distribution of class numbers in special families of real quadratic fields ${\open Q}(\sqrt d )$ arising from continued fractions. These families are obtained by considering continued… read more here.
Keywords: quadratic fields; class numbers; real quadratic; distribution class ... See more keywords
Singular moduli for real quadratic fields: A rigid analytic approach
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DOI: 10.1215/00127094-2020-0035
Abstract: A rigid meromorphic cocycle is a class in the rst cohomology of the discrete group Γ := SL2(Z[1/p]) with values in the multiplicative group of non-zero rigid meromorphic functions on the p-adic upper half plane… read more here.
Keywords: moduli real; singular moduli; rigid meromorphic; fields rigid ... See more keywords