Particular values of the Riemann zeta function
Particular values of the Riemann zeta function
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Particular values of the Riemann zeta function
Asymptotic density of powerful numbers
Some conjectures about ranks of elliptic curves over ℚ
Riemann Hypothesis and its generalizations
Is it true that, for every prime p , there is a prime q<p which is a primitive root modulo p ?
Let Q(x) count the number of squarefree integers in [1,x] . Determine the order of magnitude in the error term in the asymptotic Q(x)= frac 6 pi^2 x+E(x).
For 0 leq k leq n write binom n k = uv where the only primes dividing u are in [2,k] and the only primes dividing v are in (k,n] . Let f(n) be the smallest k such that u n^2 . Give bounds for $…
Let d n=p n+1 -p n , where p n is the n th prime. Prove that sum 1 leq n leq N d n^2 ll N( log N)^2.
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