ICTP Mathematics Seminar - Tuesday 30 May, at 14:00 (Mithun Das) / VENUE: Luigi Stasi seminar room and Zoom

[ICTP Math Section]

_ICTP MATHEMATICS SEMINAR_

Tuesday 30 May, at 14:00

Venue: Luigi Stasi seminar room (and Zoom)


Speaker: *Mithun Das* (National Institute of Science Education and 
Research (NISER), India)


Title:*The variance of a general class of multiplicative functions in 
short intervals*

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*Abstract:* In this talk, we shall discuss a general class of 
multiplicative functions by relating "short averages" to its "long 
average". More precisely, we shall talk about estimating the variance of 
such a class of functions in short intervals asymptotically, using 
Fourier analysis and counting rational points on certain binary forms. 
Our result is applicable to the interesting multiplicative functions, 
namely, $k$-free numbers, Euler's totient function, generalized divisor 
function, and many others that establish various new results and 
improvements in short intervals to the literature. This is joint work 
with Pranendu Darbar.

/https://indico.ictp.it/event/10382//

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