On algebraicity of special values of symmetric 4-th and 6-th power L-functions for $$\mathrm {GL}(2)$$
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DOI: 10.1007/s00209-021-02727-5
Abstract: We prove an algebraicity of special values of symmetric 4-th and 6-th power L-functions of Hilbert cusp forms using its symmetric power lifting and several algebraicity results on special values of automorphic L-functions. read more here.
Keywords: values symmetric; special values; symmetric power; algebraicity special ... See more keywords
p-Adic distributions attached to twisted tensor L-functions for GL2 over CM fields
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DOI: 10.1016/j.jnt.2016.12.020
Abstract: Abstract Let F be a totally real field. Let E be a quadratic extension that is totally imaginary over F . Let π be a cuspidal automorphic representation of cohomological type for GL 2 over… read more here.
Keywords: attached twisted; twisted tensor; tensor; distributions attached ... See more keywords
Periods of t-modules as special values
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DOI: 10.1016/j.jnt.2018.09.024
Abstract: Abstract In this article we show that all periods of uniformizable t-modules (resp. their coordinates) can be obtained via specializing a rigid analytic trivialization of a related dual t-motive at t = θ . The… read more here.
Keywords: special values; modules special; periods modules;
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