SPS organises talk by Kaushik Majumdar

Event From Date: 
Thursday, 20 February 2020
Event End Date: 
Thursday, 20 February 2020
Event Title: 
SPS organises talk by Kaushik Majumdar
Event Details: 

School of Physical Sciences

Jawaharlal Nehru University, New Delhi

 

Title :     The density of subsets of the natural numbers?

 

Speaker:    Kaushik Majumdar (IIT, Goa)

 

Date:  Feb 20, 2020

Time:   4.00   pm, Thursday

Venue: Seminar Room, SPS

 

Abstract

In this talk, we discuss the density of subsets of natural numbers and an elementary estimate of primes. For example, we shall prove $$\underset{i\in\mathbb{P}\cap[n]}{\sum}\log{i}=O(n).$$

Here $\mathbb{P}$ and $[n]$ denote the set of all primes and all positive integers up to n respectively. Next, we shall show how to improve those results.