J. Cereceda

activity

19982026

most citedHardy's nonlocality for generalized n-particle GHZ states

53 citations · 176 across the 40 of their papers we have counts for

collaborators

42 papers

math.HO2026

The most concise recurrence formula for the sums of integer powers

José L. Cereceda

For integers $n, k \geq 1$ , let $S_{k} (n)$ denote the power sum $1^{k} + 2^{k} + \dots + n^{k}$ . In this note, we first recall the minimal recurrence relation connecting $S_{k} (n)$ and $S_{k-…

math.GM2025

A remark on an explicit formula for the sums of powers of integers

José L. Cereceda

Recently, E. Samsonadze (arXiv:2411.11859v1) has given an explicit formula for the sums of powers of integers $S_{k} (n) = 1^{k} + 2^{k} + \dots + n^{k}$ . In this short note, we show that Sa…

math.GM2024

Sums of powers of integers and the sequence A304330

José L. Cereceda

For integer $k \geq 1$ , let $S_{k} (n)$ denote the sum of the $k$ th powers of the first $n$ positive integers. In this paper, we derive a new formula expressing $2^{2 k}$ times $S_{2k}…

math.CO2024

Formulas involving Cauchy polynomials, Bernoulli polynomials, and generalized Stirling numbers

José L. Cereceda

In this paper, we derive novel formulas and identities connecting Cauchy numbers and polynomials with both ordinary and generalized Stirling numbers, binomial coefficients, central…

math.NT2023★ 1 cited

Sums of powers of integers via differentiation

José L. Cereceda

For integer $k \geq 0$ , let $S_{k}$ denote the sum of the $k$ th powers of the first $n$ positive integers $1^{k} + 2^{k} + \dots + n^{k}$ . For any given $k$ , the power sum $S_{k}$ can in pr…

math.NT2023

A refinement of Lang's formula for the sum of powers of integers

José L. Cereceda

In 2011, W. Lang derived a novel, explicit formula for the sum of powers of integers $S_{k} (n) = 1^{k} + 2^{k} + \dots + n^{k}$ involving simultaneously the Stirling numbers of the first…