Geodesic
Dedekind's eta-function in algebra and number theory: old and new problems
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 25, Tome 414 (2013), pp. 7-30

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In this paper we survey open problems concerning the Dedekind eta-function. These problems appear in various areas of algebra and number theory. 
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     author = {G. V. Voskresenskaya},
     title = {Dedekind's eta-function in algebra and number theory: old and new problems},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {7--30},
     publisher = {mathdoc},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2013_414_a1/}
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G. V. Voskresenskaya. Dedekind's eta-function in algebra and number theory: old and new problems. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 25, Tome 414 (2013), pp. 7-30. http://geodesic.mathdoc.fr/item/ZNSL_2013_414_a1/