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math.NT2024
Non-vanishing mod of derived Hecke algebra of the multiplicative group over number field
Dohyeong Kim, Jaesung Kwon
We investigate the derived Hecke action on the cohomology of an arithmetic manifold associated to the multiplicative group over a number field. The degree one part of the action is…
math.NT2024
Cyclotomic fields are generated by cyclotomic Hecke {\it L}-values of totally real fields, II
Jaesung kwon, Hae-Sang Sun
Jun-Lee-Sun posed the question of whether the cyclotomic Hecke field can be generated by a single critical -value of a cyclotomic Hecke character over a totally real field. They…
math.NT2018
Non-vanishing of special -values of cusp forms on GL(2) with totally split prime power twists
Jaesung Kwon, Hae-Sang Sun
We prove the non-vanishing of special -values of cuspidal automorphic forms on GL(2) twisted by Hecke characters of prime power orders and totally split prime power conductors.…