C. Samuels

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20182023

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math.NT2023

Consistent maps and their associated dual representation theorems

Charles L. Samuels

A 2009 article of Allcock and Vaaler examined the vector space $G := Q^{\times} / Q_{tors}^{\times}$ over $Q$ , describing…

math.NT2021

A Polynomial Time Test to Detect Number with Many Exceptional Points

Ryan Carpenter, Charles L. Samuels

For each algebraic number $α$ and each positive real number $t$ , the $t$ -metric Mahler measure $m_{t} (α)$ creates an extremal problem whose solution varies depending on the value of…

math.NT2018

Rotation Symmetries of Sequential Matrices with Applications to the Jacobi Symbol

Yemeen Ayub, Charles L. Samuels

Suppose that $p$ is an odd prime and $(\frac{\cdot}{p})$ denotes the Legendre symbol modulo $p$ . If $p$ is has the form $p = n^{2} + 1$ then one easily verifies that $\genfra…