On Hilbert modular forms, II

Abstract

Introduction.In his paper [5], J. Igusa gave a minimal set of generators over Z of the graded ring of Siegel modular forms of genus two whose Fourier coefficients lie in Z. Also, some problems on the finite generation of an algebra of modular forms were discussed by W. L. Baily, Jr. in his recent paper [1].The author studied the structure of graded Z[1/2]-algebra of symmetric Hilbert modular forms for Q(z-) in his first paper [6].The purpose of this second paper is to describe the minimal sets of generators over Z of the graded rings of symmetric Hilbert modular forms with integral Fourier coefficients for real quadratic fields Q(/-) and Q().The detailed results with their complete proofs will appear elsewhere.

Locations

• Proceedings of the Japan Academy Series A Mathematical Sciences - View - PDF