George C. cTurcacs

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20232026

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math.NT2025

Support-sensitive bounds for shortest zero-sum subsequences

Claudiu Pop, George C. Ţurcaş

For a sequence $S$ over a finite abelian group, let $M Z (S)$ denote the length of the shortest nonempty zero-sum subsequence of $S$ . We prove that if $G$ is finite abelian of order…

math.NT2023

On the $p$ -isogenies of elliptic curves with multiplicative reduction over quadratic fields

George C. Ţurcaş

Let $q > 5$ be a prime and $K$ a quadratic number field. In this article we extend a previous result of Najman and the author and prove that if $E / K$ is an elliptic curve with pote…

Support-sensitive bounds for shortest zero-sum subsequences

On the p-isogenies of elliptic curves with multiplicative reduction over quadratic fields

On the $p$ -isogenies of elliptic curves with multiplicative reduction over quadratic fields