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Variants Of Equidistribution In Arithmetic Progressions

Akshaa Vatwani, (IIT, Gandhinagar)
Akshaa Vatwani, (IIT, Gandhinagar)
When Oct 01, 2019
from 04:00 PM to 05:00 PM
Where LH 006
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Abstract: It is well known that the prime numbers are equidistributed in arithmetic progressions. Such a phenomenon is also observed more generally for a class of multiplicative functions. We derive some variants of such results and give a few applications. We also discuss an interesting application that relates to the Chowla conjecture on correlations of the Möbius function, and show its relevance to the twin prime conjecture.

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