Zobrazeno 1 - 10
of 159
pro vyhledávání: '"Tang, Dazhao"'
Autor:
Chern, Shane, Tang, Dazhao
In this work, we investigate internal congruences modulo arbitrary powers of $3$ for two functions arising from Ramanujan's classical theta functions $\varphi(q)$ and $\psi(q)$. By letting \begin{align*} \sum_{n\ge 0} ph_3(n) q^n:=\dfrac{\varphi(-q^3
Externí odkaz:
http://arxiv.org/abs/2309.06689
Autor:
Fu, Shishuo, Tang, Dazhao
Noting a curious link between Andrews' even-odd crank and the Stanley rank, we adopt a combinatorial approach building on the map of conjugation and continue the study of integer partitions with parts separated by parity. Our motivation is twofold. F
Externí odkaz:
http://arxiv.org/abs/2306.13309
Autor:
Chern, Shane, Tang, Dazhao
Publikováno v:
Advances in Applied Mathematics, 2024
There are a number of sporadic coefficient-vanishing results associated with theta series, which suggest certain underlying patterns. By expanding theta powers as linear combinations of products of theta functions, we present two strategies that will
Externí odkaz:
http://arxiv.org/abs/2208.09882
Autor:
Du, Julia Q.D., Tang, Dazhao
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 November 2024 539(1) Part 1
Autor:
Chern, Shane, Tang, Dazhao
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 February 2025 542(2)
Autor:
Tang, Dazhao
In 2017, Andrews, Dixit, Schultz and Yee introduced the function $\overline{\textrm{spt}}_\omega(n)$, which denotes the number of smallest parts in the overpartitions of $n$ in which the smallest part is always overlined and all odd parts are less th
Externí odkaz:
http://arxiv.org/abs/2201.01642
Autor:
Du, Julia Q.D. a, Tang, Dazhao b, ⁎
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 September 2024 537(1)
Publikováno v:
In Journal of Combinatorial Theory, Series A April 2024 203
Autor:
Chern, Shane, Tang, Dazhao
In this paper, we investigate several infinite products with vanishing Taylor coefficients in arihmetic progressions. These infinite products are closely related to the Rogers--Ramanujan continued fraction. Moreover, a handful of new identities invol
Externí odkaz:
http://arxiv.org/abs/2003.12707