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arXiv · 2508.03988

Character sums of Division polynomials twisted by multiplicative functions

Subham Bhakta
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Abstract

Let $E$ be an elliptic curve over the finite field $\mathbb{F}_p$, and $P \in E(\mathbb{F}_p)$ be an $\mathbb{F}_p$-rational point. We obtain nontrivial estimates for multiplicative character sums associated with the division polynomials $\psi_n(P)$ twisted by several multiplicative functions, where $\psi_n(P)$ denotes the $n$-th division polynomial evaluated at $P$.

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Subham Bhakta. 2025-08-06. Character sums of Division polynomials twisted by multiplicative functions. https://doi.org/10.4153/s000843952610191x

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