6 papers indexed here
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We record a finite-field census of the split-cubic elliptic curves $E_{a,b,c}^{(n)}:y^2=(ax+n)(bx+n)(cx+n)$ attached to positive integral $D(n)$-triples. For $n\in\{-3,3,5,8,12,20\}$ there are $164$ such triples with $1\le a<b<c\le100$, allowing zero squares. Their reductions at the ten primes $\operatorname{NextPrime}...
We determine the integer group determinant sets for $C_{24}$, $C_2\times C_{12}$ and $C_2^2\times C_6$, the three abelian groups of order $24$. Character factorization expresses each determinant as a product of cyclotomic norms, whose components must satisfy integral compatibility conditions. The classifications are co...
Let $G=C_7\times C_7$, and let $S(G)$ denote the set of integer values of its group determinant. We determine $S(G)$ by classifying the values divisible by $7$; the coprime values are already known. Every nonzero divisible value has valuation at least $10$, and every multiple of $7^{12}$ occurs. At valuations $10$ and...
Finite-dimensional data-reuploading circuits with fixed linear-angle encodings have finite Fourier spectra determined by their encoding generators. We translate this established representation into sharp continuum obstructions for a quantum physics-informed neural network targeting Dirichlet Schrödinger modes. A model...
Motivated by sensitivity analysis in difference-in-differences, we study a median treatment contrast when the unobserved counterfactual cumulative distribution function (CDF) is allowed to lie within Kolmogorov distance \(M\) of a reference CDF. This restriction is distinct from the usual distributional parallel-trends...
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