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math.NT2004
Lower order terms of the second moment of
Tsz Ho Chan
In this article, we derive an asymptotic formula for the second moment of which includes the lower order terms using a prediction from the ratios conjecture of Conrey, Farme…
math.NT2004★ 1 cited
Higher moments of primes in short intervals II
Tsz Ho Chan
Given good knowledge on the even moments, we derive asymptotic formulas for -th moments of primes in short intervals and prove "equivalence" result on odd moments. We also provi…
math.NT2004
Higher moments of primes in short intervals I
Tsz Ho Chan
In this article, we prove an "equivalence" between two higher even moments of primes in short intervals under Riemann Hypothesis. We also provide numerical evidence in support of t…