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Rogers dilogarithms of higher degree and generalized cluster algebras

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In connection with generalized cluster algebras we introduce a certain generalization of the celebrated Rogers dilogarithm, which we call the Rogers dilogarithms of higher degree. We show that there is… Click to show full abstract

In connection with generalized cluster algebras we introduce a certain generalization of the celebrated Rogers dilogarithm, which we call the Rogers dilogarithms of higher degree. We show that there is an identity of these generalized Rogers dilogarithms associated with any period of seeds of a generalized cluster algebra.

Keywords: rogers dilogarithms; higher degree; dilogarithms higher; generalized cluster; cluster algebras

Journal Title: Journal of the Mathematical Society of Japan
Year Published: 2018

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