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math.NT2011★ 1 cited
Fun With Very Large Numbers
Robert Baillie
We give an example of a formula involving the sinc function that holds for every N = 0, 1, 2, ..., up to about 10^102832732165, then fails for all larger N. We give another example…
math.NT2011
Experiments with zeta zeros and Perron's formula
Robert Baillie
Of what use are the zeros of the Riemann zeta function? We can use sums involving zeta zeros to count the primes up to . Perron's formula leads to sums over zeta zeros that can…