This combinatorial proof demonstrates the limit theorem for triple convolutions of Ramanujan sums, indicating valuable applications in number theory.
We give a combinatorial proof of the limit theorem for triple convolutions of Ramanujan sums that had been earlier proved by Chaubey, Goel and Murty using the theory of exponential sums. This result has applications to the study of triple convolutions of certain arithmetical functions.
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Chaubey et al. (2026) studied this question.
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