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On a functional equation arising from number theory

✍ Scribed by Esteban A. Chávez; Prasanna K. Sahoo

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
201 KB
Volume
24
Category
Article
ISSN
0893-9659

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✦ Synopsis

This work aims to determine the general solution f : (u, v) for suitable conditions on the function φ :

where F will denote either R or C, and K is an abelian group. Using this result, we determine the solution f : (u, v) for all x, y, u, v ∈ C without assuming any regularity condition. Here (C ⋆ , •)

is the multiplicative group of nonzero complex numbers.

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