William D. Banks

activity

20232026

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3 papers · 1 filter

cs.CR2026

Security in LLM-Assisted Coding: A Systematic Literature Review

Liang Yuan, Maryam Khanian Najafabadi, Mashud Rana +1

Large Language Models accelerate software development but introduce severe security vulnerabilities. This systematic review investigates security risks in automated coding, benchma…

math.NT2026

Zeros of the Dirichlet series of even zeta values

William D. Banks

We give a complete unconditional description of the zero set of the Dirichlet series $D (s) = \sum_{n \geq 1} ζ (2 n) n^{- s}$ , which continues meromorphically to $C$ w…

math.NT2026

Unshared zeros of Dirichlet $L$ -functions

William Banks, Kyle Loftus

We prove that no Dirichlet $L$ -function (and more generally, no nontrivial finite linear combination of Dirichlet $L$ -functions) can vanish at every zero of a fixed $L (s, χ_{0})$ . At…

Security in LLM-Assisted Coding: A Systematic Literature Review

Zeros of the Dirichlet series of even zeta values

Unshared zeros of Dirichlet L-functions

Unshared zeros of Dirichlet $L$ -functions