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Zero-knowledge proof that a group element is a quadratic residue?
In a paper it says: "To convince a verifier that a group element is a quadratic residue, the prover executes the following proof with the verifier":
$PK \left\{ (\alpha) : y = \pm g^\alpha \right\}$
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How to construct a zero-knowledge proof of a number of the form $n=p^a q^b$
Let $n = p^a$$q^b$ where p and q are distinct primes and a and b are positive integers. How to construct a zero knowledge proof that n is of such form?
This is actually a homework problem with a ...