3 papers
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.NT2024
Bianchi modular symbols and -adic -functions
Jaesung Kwon
In the present paper, we constructed the -adic -function of Bianchi modular form. Also we proved that the first homology groups are generated by the special Bianchi modular s…