Abstract: L-functions are generating functions formed out of local data associated with either an arithmetic object or with an automorphic form. These functions are special examples of so-called Dirichlet series. Some L-functions have interesting properties like analytic or meromorphic continuation to the whole complex plane, functional equation, Euler product, non-vanishing in a certain region etc.In this talk we shall try to understand some classical L-functions such as Riemann zeta function, Dirichlet L-function, L-function arises from Modular forms and their properties.
School of Mathematical Sciences
NISER, PO- Bhimpur-Padanpur, Via- Jatni, District- Khurda, Odisha, India, PIN- 752050