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arxiv: math/0409531 · v2 · submitted 2004-09-27 · 🧮 math.NT

Higher moments of primes in short intervals II

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keywords momentsintervalsprimesshortasymptoticderiveequivalenceeven
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Given good knowledge on the even moments, we derive asymptotic formulas for $\lambda$-th moments of primes in short intervals and prove "equivalence" result on odd moments. We also provide numerical evidence in support of these results.

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