The structure of the algebra generated by special values of multiple modular L-functions

2016 Fiscal Year Final Research Report

• Project/Area Number: 26400013
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Algebra
• Research Institution: Osaka University
• Principal Investigator: Ihara Kentaro 大阪大学, インターナショナルカレッジ, 准教授 (00467523)
• Project Period (FY): 2014-04-01 – 2017-03-31
• Keywords: multiple L-function / multiple zeta values / elliptic modular form

Outline of Final Research Achievements

"The multiple modular L-functions" are introduced as a generalization of modular L-functions. Several special values of the functions are computed numerically. The algebraic structure of those values fully depends on the weights and levels of modular functions. An upper bound of the size of the algebra is given explicitly in this research.

Free Research Field

整数論