Research Support Office, Okayama University of Science 
Faculty of Science, Department of Applied Mathematics
- Professor
- Yoshinori HAMAHATA
- Research Field
Algebra, Number Theory
- Keyword(s)
Dedekind sums, zeta functions, function fields
- Research theme
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- Dedekind sums and their applications
- Special values of Dirichlet series
- Number theory in function fields.
Outline of research activities
There are analogies between algebraic number fields and function fields of one variable over finite fields. Number theory has developed on both fields. Using Dedekind sums which are special numbers, I study functions in number theory – zeta functions, L-functions, Dirichlet series, modular forms, and modular functions, for example. Using these functions, I also study numbers.
- Desired cooperation
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- Function fields and finite fields.