HIGHER MOMENTS OF PRIMES IN SHORT INTERVALS II

Tsz Ho Chan

Type: Article

Publication Date: 2005-06-01

Citations: 0

DOI: https://doi.org/10.1142/s1793042105000169

Abstract

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

Locations

International Journal of Number Theory - View
arXiv (Cornell University) - View - PDF

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Works Cited by This (6)

Action	Title	Year	Authors
+	Pair Correlation of Zeros and Primes in Short Intervals	1987	D. A. Goldston Hugh L. Montgomery
+	Sur la distribution des nombres premiers	1901	Helge Koch
+	On the Riemann zeta-function—Mean value theorems and the distribution of \|S(T)\|	1983	Amit Ghosh
+ PDF Chat	On the fractional parts of $x/n$ and related sequences. III	1977	Bahman Saffari R. C. Vaughan
+	Higher moments of primes in short intervals II	2004	Tsz Ho Chan
+	Beyond pair correlation	2000	Hugh L. Montgomery K. Soundararajan