In this paper we present some new binomial identities for multiple harmonic sums whose
indices are the sequences $(\{1\}^ a, c,\{1\}^ b), $$(\{2\}^ a, c,\{2\}^ b) $ and prove a number …

TEXT: We prove congruences, modulo a power of a prime p, for certain finite sums involving
central binomial coefficients (2kk), partly motivated by analogies with the well-known power …

We review some basic properties of multiple zeta values, in particular the theory of
regularization and its connection to an identity between certain integral and series …

On some congruences involving Domb numbers and harmonic numbers 1. Introduction Recall
that the Bernoulli numbers {Bn}n≥0 and Page 1 International Journal of Number Theory Vol …

Recently, several people study finite multiple zeta values (FMZVs) and finite polylogarithms
(FPs). In this paper, we introduce finite multiple polylogarithms (FMPs), which are natural …

In this paper we present many new families of identities for multiple harmonic sums using
binomial coefficients. Some of these generalize a few recent results of Hessami Pilehrood …

The work is partially supported by National Natural Science Foundation of China (grant no.
11971222 and 12071208) and Natural Science Foundation of Nanjing Institute of …

In this paper, we mainly prove the following conjectures of Sun ZH (New congruences
involving Apéry-like numbers. Preprint at arXiv: 2004.07172 v2): Let p> 3 be a prime. Then A …

1. Introduction Page 1 Congruences involving Franel numbers and Apéry-like numbers Guo-Shuai
Mao Department of Mathematics, Nanjing University of Information Science and Technology …

We determine the explicit formulas for the sum of products of homogeneous multiple
harmonic sums $\sum_ {k= 1}^ n\prod_ {j= 1}^ r H_k (\{1\}^{\lambda_j}) $ when $\sum_ {j …