岡山大学環境理工学部研究報告 ISSN 2187-6940

Published by Faculty of Environmental Science and Technology, Okayama University

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DOI : http://doi.org/10.18926/fest/11606

The determination of small dimensions of the Hilbert Modular Type Cusp forms of Weight Two over Real Quadratic Fields

石川洋文岡山大学 Kaken ID publons researchmap

001_027_041.pdf 619 KB

抄録

The author has proved the dimension formula of the space of the Hilbert modular type cusp forms of weight two. We present further refinements of the dimension formula for a real quadratic number field Q(√D), and calculate it effectively. We tabulate the dimensions for square-free natural numbers D below 104 with the computer assistance. We also determine all the spaces of their dimension below 10.

ISSN

1341-9099

NCID

AN10529213

NAID

120002313526