H. Katsurada

collaborators

2 papers

math.NT2026

Harder's conjecture and Hermitian automorphic forms

Hidenori Katsurada, Nobuki Takeda

Let $k \geq 4$ and $j \geq 2$ be integers with $j$ even. Harder's conjecture predicts a congruence between a primitive elliptic Hecke cusp form of weight $2 k + j - 2$ and a degree $2$ ve…

math.NT2026

Harder's conjecture II

Hiraku Atobe, Masataka Chida, Tomoyoshi Ibukiyama +2

Let $f$ be a primitive form of weight $2 k + j - 2$ for $S L_{2} (Z)$ , and let $P$ be a prime ideal of the Hecke field of $f$ . We denote by $S p_{m} (Z)$ the Siegel modular group of degree $m$ .…