Fourier Series coefficient of periodic convolution

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I have to show that fourier series coefficient of sawtooth wave is sinc^2. To show this, rather than generating a sawtooth wave, I need to show periodic convolution of two square wave is a sawtooth wave, then find FS coefficient.
Sqaure wave has T=1 T0=1/4 amplitude of 1. How do I convolute this function and find fourier series coefficient?

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