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
The Monomial Lattice in Modular Symmetric Power Representations
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DOI: 10.1007/s10468-020-10013-x
Abstract: Let p be a prime. We study the structure of and the inclusion relations among the terms in the monomial lattice in the modular symmetric power representations of GL 2 ( F p ) $\text… read more here.
Keywords: monomial lattice; power representations; lattice modular; symmetric power ... See more keywords