| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2020: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2019: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2018: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
|
|---|
| Outline of Final Research Achievements |
In this study, the following two results were obtained. The first is the development of a calculation algorithm for a set of minimum points required to determine a zero-dimensional cell in the boundary of a fundamental domain of the arithmetic quotient for a general linear group defined over a rational number field. By applying Minkowski's reduction theory, we found a sharp evaluation of the components of matrices contained in a minimum point set, and devised an algorithm to determine the minimum point set based on this evaluation. The second is the determination of a gap and the determination of the maximum accumulate point in the set of values of exponents of repetitons for Sturmian words. The exponent of repetitons for an infinite word is a new quantity just introduced by Bougeaud and Kim in 2019, and our result pioneered its nature.
|
