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math.NTJan 29, 2005
49
citations (OpenAlex)
authors
  • Taekyun Kim
arXiv abstractPDF
paper

Sums of powers of consecutive q-integers

arXiv:math/0501531

Abstract

We give the q-analogue of the sums of the n-th powers of positive integers up to k-1.

4 pages

Cited by in corpus (13)

  • q-Bernoulli Numbers and Polynomials Associated with Multiple q-Zeta Functions and Basic L-series
  • A note on p-adic q-Euler measure
  • A note on the alternating sums of powers of consecutive q-integers
  • A note on q-Bernoulli numbers and polynomials
  • A note on the sums of powers of consecutive q-integers
  • q-Euler and Genocchi numbers
  • Note on the sums of powers of consecutive q-integers
  • Some identities of q-Bernoulli polynomials under symmetry group S3
  • On a q-analogue of the p-adic generalized twisted L-functions and p-adic q-integrals
  • Carlitz q-Bernoulli numbers and q-Stirling numbers
  • A new Kim's type Bernoulli and Euler Numbers and related identities and zeta and L-functions
  • Nonstandard Mathematics and New Zeta and L-Functions
  • q-analogues of the sums of powers of consecutive integers
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