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Hosszu’s functional equation over rings generated by their units. (English) Zbl 0479.39003

MSC:
39B52 Functional equations for functions with more general domains and/or ranges
39B99 Functional equations and inequalities
12E12 Equations in general fields
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References:
[1] Blanuša, D.,The functional equation f(x+yy)+f(xy)=f(x)+f(y). Aequationes Math5 (1970), 63–67. · Zbl 0203.46202
[2] Daróczy, Z.,On the general solution of the functional equation f(x+yy)+f(xy)=f(x)+f(y). Aequationes Math.6 (1971), 130–132. · Zbl 0222.39003
[3] Davison, T. M. K.,On the functional equation f(m+nn)+f(mn)=f(m)+f(n). Aequationes Math.10 (1974), 206–211. · Zbl 0286.39011
[4] Davison, T. M. K.,The complete solution of Hosszú’s functional equation over a field. Aequationes Math.11 (1974), 273–276. · Zbl 0289.39004
[5] Davison, T. M. K.,On Hosszú’s functional equation. Preprint, University of Warwick, Coventry, England, 1976.
[6] Fenyö, I.,On the general solution of a functional equation in the domain of distributions. Aequationes Math.3 (1969), 236–246. · Zbl 0194.45401
[7] Światak, H.,A proof of the equivalence of the equation f(x+y-xy)+f(xy)=f(x)+f(y) and Jensen’s functional equation. Aequationes Math.6 (1971), 24–29. · Zbl 0214.39102
[8] Weiss, E.,Algebraic Number Theory. McGraw-Hill, New York, 1963. · Zbl 0115.03601
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