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math.NT2023
Period of the Ikeda-Miyawaki lift
Tomoyoshi Ibukiyama, Hidenori Katsurada, Hisashi Kojima
In this paper, first we give a weak version of Ikeda's conjecture on the period of the Ikeda-Miyawaki lift. Next, we confirm this conjecture rigorously in some cases.
math.NT2023
Harder's conjecture II
Hiraku Atobe, Masataka Chida, Tomoyoshi Ibukiyama +2
Let be a primitive form of weight for , and let be a prime ideal of the Hecke field of . We denote by the Siegel modular group of degree .…
math.NT2023
Genus character -functions of quadratic orders in an adelic way and maximal orders of matrix algebras
Tomoyoshi Ibukiyama
For a quadratic extension of , we consider orders in that are not necessarily maximal and the ideal class group in the narrow sense of proper ide…