 Message from the Dean
 History
 Education and Research

Staff Introduction
 Seminars & Events
 Distinctive Programs
 Access
 Job Openings
 Publications
 Related Links
 Contacts
Staff Introduction
I am interested in studying the analytic properties of zeta functions and Lfunctions, especially the distribution of zeros of their derivatives and its relation to the corresponding zeta and Lfunctions themselves. It is long known that the distribution of zeros of the "Riemann zeta function", the most basic form of zeta functions, is very closely related to the distribution of prime numbers. This breakthrough in the study has attracted many mathematicians and physicists to study this function very closely. Nevertheless, many important properties are left unknown and one of the greatest unsolved problem in mathematics, the "Riemann hypothesis", remains a mystery. The Riemann hypothesis claims that all nontrivial zeros of the Riemann zeta function lie on a straight line. This can be restated as: The first derivative of the Riemann zeta function does not have any zeros in the open lefthalf of the "critical strip”. We have obtained an analogue of this result in the case of "Dirichlet Lfunctions", the simplest case of Lfunctions. I am interested to investigate this further to the case of higherorder derivatives. I am also working on a bigger class of functions, called the “Selberg class”, which contains all zeta functions and Lfunctions which are expected to satisfy the Riemann hypothesis.
Further, not only restricted to distribution of zeros, I am also studying the distribution of values in general.
Keywords  Zeta Functions, LFunctions, Derivatives, Zeros, Distribution of Values 

Faculty , Department  Faculty of Mathematics , Department of Mathematics 
Link 