- #1
zetafunction
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Homework Statement
the idea is to prove wether a prime 'p' divides the quantities [tex] {p \choose k} [/tex]
for k=01,2,3,...,p-1
Homework Equations
The Attempt at a Solution
i have tried by inspection for small primes 3,5,7,11,13,17,... but can not guess a simple solution , the idea is to see if for p prime , the Cyclotomic polynomial
[tex] x^{p}+...+x+1 [/tex] for p prime.