The construction of the modular forms and the study of its arithmetic properties

2014 Fiscal Year Final Research Report

• Project/Area Number: 23740029
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Algebra
• Research Institution: Chiba Institute of Technology
• Principal Investigator: GUNJI Keiichi 千葉工業大学, 工学部, 助教 (00550659)
• Project Period (FY): 2011-04-28 – 2015-03-31
• Keywords: 整数論 / 多変数保型形式 / アイゼンシュタイン級数

Outline of Final Research Achievements

Recentry, for the study of the number theory, investing modular forms, that are functions satisfiyng the certain transformation formula, is the main topics. The analisys of the modular forms of several variables is difficult in general. However we can construct them by using the methods of lifting, from the modular forms of one variable. Such lifts are relatively easy to analysis, and have many interesting arithmetic properties. In this study, we extend the results of the lifting, which are already known.

Free Research Field

代数学