Geodesic
Dedekind eta-function in modern research
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Seminar on algebra and geometry of the Samara University, Tome 136 (2017), pp. 103-137

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In this paper, we describe properties of the Dedekind eta-function, constructions arising from it, and their applications in various topics of the number theory and algebra. We discuss connections with the group representation theory and the study of the structure of spaces of modular forms. The special attention is paid to the special class of modular forms, namely, eta-functions with multiplicative coefficients.
Keywords: modular forms, cusp forms, Dedekind eta-function, combinatorial identities, group representations, structure theorems. 
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     author = {G. V. Voskresenskaya},
     title = {Dedekind eta-function in modern research},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {103--137},
     publisher = {mathdoc},
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     year = {2017},
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G. V. Voskresenskaya. Dedekind eta-function in modern research. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Seminar on algebra and geometry of the Samara University, Tome 136 (2017), pp. 103-137. http://geodesic.mathdoc.fr/item/INTO_2017_136_a4/