Zhi-Wei Sun

activity

20102026

most citedNew series for some special values of

L

-functions

15 citations · 20 across the 24 of their papers we have counts for

collaborators

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5 papers · 1 filter

math.NT2025

Evaluation of a determinant involving Legendre symbols

Chen-Kai Ren, Zhi-Wei Sun

Let $p > 3$ be a prime, and let $(\frac{\cdot}{p})$ be the Legendre symbol. Let $A_{p} (x)$ denote the matrix $[x + a_{ij}]_{1 ⩽ i, j ⩽ (p - 1) /2}$ , where $$ a_{ij}=\begin{cases}…

math.NT2025

Fast converging irrational series for $L (2, (\frac{d}{\cdot}))$

Zhi-Wei Sun, Yajun Zhou

By exploring the theory of Guillera-Rogers, we evaluate some infinite series whose summands are quadratic irrationals, in terms of $π$ and special values of Dirichlet $L$ -functions…

math.NT2025

New series involving binomial coefficients (III)

Zhi-Wei Sun

We evaluate some series with summands involving a single binomial coefficient $(3 k 6 k)$ . For example, we prove that $$\sum_{k=0}^\infty\frac{(63k^2+78k+22)8^k}{(2k+1)(6k+1)(…

math.NT2025

A family of polynomials and related congruences and series

Zhi-Wei Sun

In this paper we study a family of polynomials $S_{n}^{(m)} (x) := i, j = 0 \sum n (i n)^{m} (j n)^{m} (i i + j) x^{i + j} (m, n = 0, 1, 2, \dots) .$ For example, we show that $$\sum_{k=…

math.NT2025

On $p$ -adic congruences involving $d$

Bo Jiang, Zhi-Wei Sun

Let $p$ be an odd prime and let $d$ be an integer not divisible by $p$ . We prove that $$ \prod_{1\le m,n\le p-1\atop p\nmid m^2-dn^2}\ (x-(m+n\sqrt{d})) \equiv \begin{cases}\sum_{k…

Evaluation of a determinant involving Legendre symbols

Fast converging irrational series for L(2,(⋅d​))

New series involving binomial coefficients (III)

A family of polynomials and related congruences and series

On p-adic congruences involving d​

Fast converging irrational series for $L (2, (\frac{d}{\cdot}))$

On $p$ -adic congruences involving $d$