Ramanujan's Trigonometrical Sum and Relative Partitions

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Authors

  • Presidency College, Madras ,IN

DOI:

https://doi.org/10.18311/jims/1951/17069

Abstract

This paper arose out of a study of Ramanujan's trigonometrical sum Cm(n) defined by[4]

Cm(n)=Σ Σλn              (1)

where Ï=e2Ï€i/m and λ runs though a complete system of representatives of the prime residue classes mod m.