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Research
Areas and Research Interest
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- Number
Theory
- elementary
and analytic number theory
- diophantine
approximations and diophantine equations
- irrationality
and transcendence
- algebraic
number theory
- geometry
of numbers
- Mathematical
Analysis
- theory
of inequalities
- means
and their inequalities
- convexity
of functions; generalized convexity
- nonlinear
optimization
- special
functions (Euler's gamma function, Rieman's zeta function etc.)
- functional
equations and functional inequalities
- series
- geometry
of Hilbert and Banach spaces
- Geometry
- geometric
inequalities in euclidean plane and space
- geometry
of simplices
- connections
of geometry to number theory, algebra and analysis
- diophantine
geometry
- History
of Mathematics
- history
of mathematical notations
- 19th and
20th century developments
- biographies
of mathematicians
- history
of number theory
- history
of mathematical analysis
- history
of geometry
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