=+5.20. 1 (a) From Stirling's formula, deduce (5.48) E[log] = log n +0(1). From this, the inequality
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=+5.20. 1
(a) From Stirling's formula, deduce
(5.48)
E„[log] = log n +0(1).
From this, the inequality E,[@ ] ≤ 2/ p, and the relation log m = Ep@ (m) log p.
conclude that Epp" log p diverges and that there are infinitely many primes.
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Related Book For
Probability And Measure Wiley Series In Probability And Mathematical Statistics
ISBN: 9788126517718
3rd Edition
Authors: Patrick Billingsley
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