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math.NT2025
On the Minimality of the Conductor for Elliptic Curve -Functions
K. Lakshmanan
We investigate the role of the conductor in analytic rank bounds for elliptic curves over \(\mathbb{Q}\). Let \(E/\mathbb{Q}\) be an elliptic curve with conductor \(N_E\). We consi…
math.NT2024
Primes and Bivariate Polynomials without Constant Terms: A Recursive Algorithm
K. Lakshmanan
We investigate the computational problem of determining whether a bivariate polynomial with non-negative coefficients and no constant term can attain a prime value. While classical…