The Ramanujan τ-Function

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 2 in The Mathematical Legacy of Srinivasa Ramanujan, 2013, pp 11-23 from Springer

Abstract: Abstract The 1916 memoir of Ramanujan modestly entitled “On certain arithmetic functions” contains a wealth of ideas. Most notable is the study of what is now called Ramanujan’s τ-function. In this chapter, we discuss the basic properties of this function as well as highlight some theorems and conjectures regarding its values.

Keywords: Arithmetic Functions; Harmonic Weak Maass Forms; Ramanujan Conjecture; Second-order Recurrence Relation; Meromorphic Modular Form (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_2

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DOI: 10.1007/978-81-322-0770-2_2

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