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The Ramanujan τ-Function

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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.

An erratum to this chapter can be found at http://dx.doi.org/10.1007/978-81-322-0770-2_13

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Murty, M.R., Murty, V.K. (2013). The Ramanujan τ-Function. In: The Mathematical Legacy of Srinivasa Ramanujan. Springer, India. https://doi.org/10.1007/978-81-322-0770-2_2

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