Shaofang Hong

collaborators

3 papers

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 ${(- 1)^{I ¨ _{2} (n)}}_{n = 0}^{\infty}$ , where $I ¨ _{2} (n)$ is the…

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…

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

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