Finding sum of powers on arithmetic progressions with application of Cauchy's equation

DOI10.1007/BF03322855zbMath1053.11014OpenAlexW2020448983MaRDI QIDQ1412405

Wei Nian Zhang, Palaniappan Kannappan

Publication date: 10 November 2003

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322855

zbMATH Keywords

Cauchy equationarithmetic progressionsum of powers

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Arithmetic progressions (11B25) Farey sequences; the sequences (1^k, 2^k, dots) (11B57)

Related Items (4)

Note on two extensions of the classical formula for sums of powers on arithmetic progressions ⋮ About a question of Kannappan and Zhang ⋮ A probabilistic generalization of the Stirling numbers of the second kind ⋮ Generalized Stirling numbers and sums of powers of arithmetic progressions

Cites Work

• General solution of a system of functional equations satisfied by sums of powers on arithmetic progressions
• Formulas for sums of powers of integers by functional equations
• Sums of Powers of Integers
• Summation of the Series 1 n + 2 n + ⋯+ x n Using Elementary Calculus
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