Shaofang Hong

activity

20082026

most citedOn deep holes of standard Reed-Solomon codes

22 citations · 137 across the 47 of their papers we have counts for

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math.NT2026

Proof of the Gawron-Miska-Ulas conjecture concerning unboundedness of coefficients of power series expansion of $\prod_{n = 0}^{\infty} (1 - x^{2^{n}})^{m}$

Jinmin Yu, Wenzhong Lei, Shaofang Hong

It is well known that $F (x) = \prod_{n = 0}^{\infty} (1 - x^{2^{n}})$ is the generating function of the Prouhet-Thue-Morse sequence ${(- 1)^{σ_{2} (n)}}_{n = 0}^{\infty}$ , where $σ_{2} (n)$ is the s…

math.NT2026

Another proofs of Zagier's formula for multiple zeta values and Murakami's formula for multiple $t$ -values

Jinmin Yu, Shaofang Hong

Let $l \geq 1$ be an integer. For any multiple index $s = (s_{1}, s_{2}, \dots, s_{l}) \in Z_{\geq 1}^{l}$ with $s_{l} > 1$ , the multiple zeta value (MZV for short) is defined by \be…

math.NT2026

Proofs of Lupu's conjectures for multiple zeta values and multiple $t$ -values

Wenzhong Lei, Jinmin Yu, Shaofang Hong

Let $r \geq 1$ be an integer. For any multiple index $s = (s_{1}, s_{2}, \dots, s_{r}) \in Z_{\geq 1}^{r}$ with $s_{r} > 1$ , the multiple zeta value (MZV for short) is defined by \b…

math.NT2022

On Igusa local zeta functions of Hauser hybrid polynomials

Shaofang Hong, Qiuyu Yin

Let $K$ be a local field and $f (x) \in K [x]$ be a non-constant polynomial. When $char K = 0$ , Igusa showed the local zeta function is a rational function. However, when ${\rm cha…

math.NT2021

On the sums of squares of exceptional units in residue class rings

Yulu Feng, Shaofang Hong

Let $n \geq 1, e \geq 1, k \geq 2$ and $c$ be integers. An integer $u$ is called a unit in the ring $Z_{n}$ of residue classes modulo $n$ if $g cd (u, n) = 1$ . A unit $u$ is called a…

math.NT2021

On the number of zeros to the equation $f (x_{1}) + ... + f (x_{n}) = a$ over finite fields

Chaoxi Zhu, Yulu Feng, Shaofang Hong +1

Let $p$ be a prime, $k$ a positive integer and let $F_{q}$ be the finite field of $q = p^{k}$ elements. Let $f (x)$ be a polynomial over $F_{q}$ and $a \in F_{q}$ . We d…

Proof of the Gawron-Miska-Ulas conjecture concerning unboundedness of coefficients of power series expansion of ∏n=0∞​(1−x2n)m

Another proofs of Zagier's formula for multiple zeta values and Murakami's formula for multiple t-values

Proofs of Lupu's conjectures for multiple zeta values and multiple t-values

On Igusa local zeta functions of Hauser hybrid polynomials

On the sums of squares of exceptional units in residue class rings

On the number of zeros to the equation f(x1​)+...+f(xn​)=a over finite fields

Proof of the Gawron-Miska-Ulas conjecture concerning unboundedness of coefficients of power series expansion of $\prod_{n = 0}^{\infty} (1 - x^{2^{n}})^{m}$

Another proofs of Zagier's formula for multiple zeta values and Murakami's formula for multiple $t$ -values

Proofs of Lupu's conjectures for multiple zeta values and multiple $t$ -values

On the number of zeros to the equation $f (x_{1}) + ... + f (x_{n}) = a$ over finite fields