Author

Jinlong Tang

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Preprint Jul 2026

Polynomial-Time Evaluation of Aardal-Lenstra Denumerants via Constant Term Method

This work investigates the corresponding challenging denumerant problem and presents a polynomial-time algorithm that eliminates the computational bottlenecks caused by large values of $M$, $N$ and $b$.

Jinlong Tang, Guoce Xin, Zi-Hao Zhang · 1 citation

Preprint Aug 2026

Counterexamples to the Minimum Period Conjecture for Restricted Partition Functions

For a finite sequence of positive integers $\boldsymbol{a}=(a_1,\dots,a_n)$, the restricted partition function $q_{\boldsymbol{a}}(k)$ denote the number of nonnegative integer solutions to the equation $a_1x_1+a_2x_2+\cdots +a_nx_n=k$. It is proved to be a quasi-polynomial of degree $n-1$. Write $q_{\boldsymbol{a}}(k)=...

Fei-Hu Liu, Jinlong Tang, Guoce Xin et al. · 0 citations