Mathematics Seminar Date: Wednesday, 13 August 2025 Time: 3.30 - 4.30 PM Venue: Seminar Hall Distribution of difference of characters evaluated at consecutive polynomial values Dwaipayan Mazumder Chennai Mathematical Institute. 13-08-25 Abstract Starting with an interesting question about binomial coefficients we discuss distribution of difference of characters evaluated at consecutive polynomial values. More precisely look into the sum of type $\sum_{n~N} |\psi(f(n))-\psi(f(n+1))|$ where $psi$ is a character on a finite field with $p$ elements and establish an asymptotic formula for suitable range of $N$. This is a joint work with Nilanjan Bag.
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