IV.2 Analytic Number Theory by Andrew Granville, The “Analysis” in Analytic Number Theory, The Riemann Hypothesis, Primes in Arithmetic Progressions and Primes in Short Intervals: Pages 336 – 342.

Analytic Number Theory by Andrew Granville.

The “analysis” in analytic number theory.

The Riemann hypothesis.  If 0<=Re(s)<=1, s complex and Zeta(s) = 0 then Re(s)=1/2.

Primes in arithmetic progressions.

Primes in short intervals.

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