Huimin Zheng

collaborators

2 papers

math.NT2026

Samart's conjecture n_4(81)=40M_7: the exact CM evaluation and the two obstructions. A status report

Huimin Zheng

This note archives the status of Samart's Table-6 conjecture $n_{4} (81) = 40 M_{7}$ , $M_{7} := L^{'} (g_{7}, 0)$ , where $g_{7} (I ¨ ) = I^\cdot (I ¨ )^{3} I^\cdot (7 I ¨ )^{3}$ is the newform of $S_{3} (I^_{0} (7), I ¨ _{- 7})$ and $n_4(…

math.NT2026

Mahler measures at interior CM points: proofs of two conjectures of Samart

Huimin Zheng

We prove two conjectures of Samart as identities of genuine Mahler measures. The first is the case $k = 1$ of his evaluations for the family $(x + x^{- 1}) (y + y^{- 1}) (z + z^{- 1}) + k^{1/2}$ :…