Does 'Weirstrass theorem' allow the existence of an entire function so:(adsbygoogle = window.adsbygoogle || []).push({});

[tex] f(z)= g(z) \prod _p(1- \frac{x}{p^{k}}) [/tex]

so for every prime p then f(p)=0 , and k>1 and integer??

the main question is to see if a function can have all the primes as its real roots

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# Weierstrass theorems and primes.

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