Quanyu Tang

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20242026

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math.NT2026

Integral Representations and Asymptotics for a Family of Areal Mahler Measures

Quanyu Tang, Shu Zhang

We study a problem posed by Matilde Lalín concerning the areal Mahler measures of the multivariable polynomial family $$ P_m(x_1,\ldots,x_m,u) = \prod_{j=1}^m(1+x_j) + u\prod_{j=1}…

math.NT2026

The Hofstadter consecutive-sum sequence omits infinitely many positive integers

Quanyu Tang

Let $(a_{n})_{n \geq 1}$ be the greedy self-generating sequence defined by $a_{1} = 1$ , $a_{2} = 2$ , and, for $k \geq 3$ , by taking $a_{k}$ to be the least integer greater than $a_{k - 1}$ that can…