Variants Of Equidistribution In Arithmetic Progressions
Akshaa Vatwani, (IIT, Gandhinagar)
| Speaker |
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.