Über die Funktionalgleichung \(f(x)=d^{m-1}\sum^{d-1}_{i=0}f({x+i\over d})\) in den Körpern \(Z_p\)

DOI10.1007/BF01180568zbMath0368.39001OpenAlexW2026400548MaRDI QIDQ1243055

Wilfried Herget

Publication date: 1977

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154513

Mathematics Subject Classification ID

Additive difference equations (39A10) Functional equations for functions with more general domains and/or ranges (39B52) General theory of functional equations and inequalities (39B05)

Cites Work

• On the functional equation \(f(x)=\sum^{k-1}_{j=0}f((x+j)/k)\) over finite rings.
• Analogs of Bernoulli polynomials in fields \(\mathbb{Z}_p\)

This page was built for publication: Über die Funktionalgleichung \(f(x)=d^{m-1}\sum^{d-1}_{i=0}f({x+i\over d})\) in den Körpern \(Z_p\)