The Riemann zeta function and tuning: Difference between revisions
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So far we have shown the following: | So far we have shown the following: | ||
* Error on prime powers: <math>\log \abs{\zeta(\sigma + it)}</math> | * Error on prime powers: <math>\log\,\abs{\zeta(\sigma + it)}</math> | ||
* Error on unreduced rationals: <math>\abs{\zeta(\sigma+it)}^2</math> | * Error on unreduced rationals: <math>\abs{\zeta(\sigma+it)}^2</math> | ||
* Error on reduced rationals: <math>\frac{\abs{\zeta(\sigma+it)}^2}{\zeta(2\sigma)}</math> | * Error on reduced rationals: <math>\frac{\abs{\zeta(\sigma+it)}^2}{\zeta(2\sigma)}</math> | ||