| Budget Amount *help |
¥14,820,000 (Direct Cost: ¥11,400,000、Indirect Cost: ¥3,420,000)
Fiscal Year 2019: ¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2018: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2017: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2016: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2015: ¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
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| Outline of Final Research Achievements |
We studied elliptic difference integrable systems and related spacial functions with emphasis on (a) difference de Rham theory of elliptic hypergeometric integrals, (b) elliptic difference Painleve systems and (c) special functions relevant to the Ruijsenaars systems.
Three main achievements are (a) formulation/proof of a new determinant formula associated with BCn elliptic hypergeometric integrals of Selberg type, (b) construction of tau functions for the E8 elliptic Painleve equation which are expressed by elliptic hypergeometric integrals and (c) construction of formal joint eigenfunctions for the Ruijsenaars systems and the study of their convergence.
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