Research keywords (8):
algebra
, number theory
, number field
, algebraic group
, height
, diophantine approximation
, linear inequality
, tannakian category
Research theme for competitive and other funds (2):
2013 - 2016 The structure of a tannakian category formed by equivalence classes of systems of linear inequalities over a number eld and its application to diophantine approximation
2008 - 2010 Study of the structure of a tannakian category formed by equivalence classes of systems of linear inequalities over a number field
Papers (9):
Masami Fujimori. A Fundamental Domain for the General Linear Group by Means of Successive Minima. Journal of Lie Theory. 2023. 33. 3. 845-873
On the algebraic groups leading to simultaneous approximations
(Diophantine Analysis and Related Fields 2017 2017)
The algebraic groups leading to the Roth inequalities
(Analytic Number Theory - through Value Distribution and other Properties of Analytic Functions 2010)
On algebraic groups attached to systems of linear inequalities over number fields
(Holomorphic Mappings and Related Diophantine Approximation 2009)
On some systems of linear inequalities derived from algebraic groups over number fields
(Analytic Number Theory and Related Areas 2007)
On the defining group of a category of systems of linear inequalities
(Analytic Number Theory and Surrounding Areas 2004)