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Learning Euler Factors of Elliptic Curves
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We apply transformer models and feedforward neural networks to predict Frobenius traces $a_p$ from elliptic curves given other traces $a_q$. We train further models to predict $a_p \bmod 2$ from $a_q \bmod 2$, and cross-analysis such as $a_p \bmod 2$ from $a_q$. Our experiments reveal that these models achieve high accuracy, even in the absence of explicit number-theoretic tools like functional equations of $L$-functions. We also present partial interpretability findings.
Forward citations
Cited by 2 Pith papers
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Computer vision and converse theorems
2D CNNs on image-encoded elliptic curve twists outperform 1D CNNs on Frobenius traces alone at separating conductor families from Sato-Tate random matrices and can predict analytic rank.
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Large Lemma Miners: Can LLMs do Induction Proofs for Hardware?
A neurosymbolic method using two LLM prompting frameworks generates provably correct inductive arguments for 84% of a set of mid-size open-source RTL hardware designs.
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