Second moments of twisted Koecher-Maass seriesSpringer Science and Business Media LLC - Tập 82 - Trang 153-172 - 2012
Henry H. Kim
Imai considered the twisted Koecher-Maass series for Siegel cusp forms of
degree 2, twisted by Maass cusp forms and Eisenstein series, and used them to
prove the converse theorem for Siegel modular forms. They do not have Euler
products, and it is not even known whether they converge absolutely for Re(s)>1.
Hence the standard convexity arguments do not apply to give bounds. In this
paper, we obtai... hiện toàn bộ
Modular forms for the $$A_{1}$$ -towerSpringer Science and Business Media LLC - Tập 88 - Trang 297-316 - 2018
Martin Woitalla
In the 1960s Igusa determined the graded ring of Siegel modular forms of genus
two. He used theta series to construct $$\chi _{5}$$ , the cusp form of lowest
weight for the group $${\text {Sp}}(2,\mathbb {Z})$$ . In 2010 Gritsenko found
three towers of orthogonal type modular forms which are connected with certain
series of root lattices. In this setting Siegel modular forms can be identified
with... hiện toàn bộ
DiedersingularitätenSpringer Science and Business Media LLC - Tập 47 - Trang 210-227 - 1978
Kurt Von Behnke, Oswald Riemenschnelder