IISER Pune
INDIAN INSTITUTE OF SCIENCE EDUCATION AND RESEARCH (IISER) PUNE
where tomorrow’s science begins today
An Autonomous Institution, Ministry of Human Resource Development, Govt. of India
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Seminars and Colloquia

Mathematics

Zeros of partial sums of L-functions 
 
Mon, Dec 18, 2017,   03:30 PM to 04:30 PM at Madhava Hall

Dr. Akshaa Vatwani
University of Waterloo, Canada

An important approach towards getting information about the distribution of the prime numbers involves the study of zeros of L-functions. Partial sums of an L-function are defined as truncations of the associated Dirichlet series. They are known to give good approximations to the L-function and are easier to work with for purpose of estimation. This makes them an important object of study.
We report on some results regarding the distribution of zeros of partial sums of a certain class of L-functions. This involves obtaining Halasz-type mean value estimates for suitable multiplicative functions. This is recent joint work with Arindam Roy.

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