In mathematics, the tau conjecture may refer to one of

Lehmer's conjecture on the non-vanishing of the Ramanujan tau function

The Ramanujanâ€“Petersson conjecture on the rate of growth of the Ramanujan tau function, proved by Deligne

Shub and Smale's tau-conjecture on the integer zeroes of a polynomial, one of Smale's problems

Undergraduate Texts in Mathematics

Graduate Studies in Mathematics

Hellenica World - Scientific Library

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