Some Nonlinear Identities for Divisor Functions

M. Ram Murty and V. Kumar Murty
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M. Ram Murty: Queen’s University, Department of Mathematics and Statistics
V. Kumar Murty: University of Toronto, Department of Mathematics

Chapter Chapter 8 in The Mathematical Legacy of Srinivasa Ramanujan, 2013, pp 119-127 from Springer

Abstract: Abstract In his 1916 paper, Ramanujan derived a series of nonlinear identities for a class of divisor functions. We now know that these identities arise as a consequence of the low dimension of certain spaces of modular forms. In this chapter, we explain these identities as well as indicate the relation to the theory of quasi-modular forms.

Keywords: Nonlinear Identity; Divisor Function; Quasi-modular Forms; Ramanujan; Rankin Cohen Brackets (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-81-322-0770-2_8

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DOI: 10.1007/978-81-322-0770-2_8

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