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A map is a panorama in small scale. In this half-survey, half-research paper we give general results on Ramanujan expansions. We don’t include the ocean of results from the literature on the two classes (see Schwarz-Spilker Book, also Lucht’s survey for these) of additive and multiplicative functions while we include, say, the two new (not simply connected) lands of finite Ramanujan expansions (see my paper, with Murty & Saha) and of shift-Ramanujan expansions (see my subsequent paper, with Murty) .

生成讲解博客的中文版本

生成AI智能校验的中文版本