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math.NT2004
Primes in short intervals
Hugh L. Montgomery, K. Soundararajan
Contrary to what would be predicted on the basis of Cramér's model concerning the distribution of prime numbers, we develop evidence that the distribution of , for $0…
math.NT2004
An uncertainty principle for arithmetic sequences
Andrew Granville, K. Soundararajan
Analytic number theorists usually seek to show that sequences which appear naturally in arithmetic are ``well-distributed'' in some appropriate sense. In various discrepancy proble…