Geodesic
Volkov pentagon for the modular quantum dilogarithm
Funkcionalʹnyj analiz i ego priloženiâ, Tome 45 (2011) no. 4, pp. 65-71

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The new form of pentagon equations suggested by Volkov (Int. Math. Res. Notices (2011); http://arxiv.org/abs/1104.2267) for the $q$-exponential on the basis of formal series is derived within the Hilbert space framework for the modular version of the quantum dilogarithm.
Mots-clés : pentagon equations
Keywords: $q$-exponential, quantum dilogarithm. 
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     author = {L. D. Faddeev},
     title = {Volkov pentagon for the modular quantum dilogarithm},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {65--71},
     publisher = {mathdoc},
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     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2011_45_4_a5/}
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L. D. Faddeev. Volkov pentagon for the modular quantum dilogarithm. Funkcionalʹnyj analiz i ego priloženiâ, Tome 45 (2011) no. 4, pp. 65-71. http://geodesic.mathdoc.fr/item/FAA_2011_45_4_a5/