Guo-Niu Han

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20002026

most citedAn explicit expansion formula for the powers of the Euler Product in terms of partition hook lengths

19 citations · 110 across the 59 of their papers we have counts for

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math.CO2022

A symmetric decomposition of the Boros-Moll polynomials

Guo-Niu Han, Shi-Mei Ma, Yeong-Nan Yeh

In their study of a quartic integral, Boros and Moll introduced a special case of Jacobi polynomials, which are now known as the Boros-Moll polynomials. In this paper, we study a s…

math.CO2022

Recurrences for the derivative polynomials for tangent and secant

Guo-Niu Han, Shi-Mei Ma

In this paper, we choose the derivative polynomials for tangent and secant as basis sets of polynomial space. From this viewpoint, we first give an expansion of the derivative poly…

math.NT2022

The Thue-Morse continued fractions in characteristic $2$ are algebraic

Yann Bugeaud, Guo-Niu Han

Let $a, b$ be distinct, non-constant polynomials in $F_{2} [z]$ . Let $ξ_{a, b}$ be the power series in $F_{2} ((z^{- 1}))$ whose sequence of partial quotients is the…

A symmetric decomposition of the Boros-Moll polynomials

Recurrences for the derivative polynomials for tangent and secant

The Thue-Morse continued fractions in characteristic 2 are algebraic

The Thue-Morse continued fractions in characteristic $2$ are algebraic