On the distribution of primes in short intervals

P. X. Gallagher

Type: Article

Publication Date: 1976-06-01

Citations: 165

DOI: https://doi.org/10.1112/s0025579300016442

View Publication

Locations

Mathematika - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	On the distribution of primes in short intervals	1993	Jerzy Kaczorowski Alberto Perelli
+	A note on the distribution of primes in short intervals	1984	J. Pintz
+	Primes in ‘Almost All’ Short Intervals	1982	D. R. Heath‐Brown
+	Mean-Value Theorems for Primes in Short Intervals	1978	Stephen John Ricci
+	Distribution of Prime Numbers in Short Intervals	2013	Liu Weiying
+	On the distribution of primes in intervals of length % MathType!MTEF!2!1!+-% feaafeart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaubiaeqale% qabaGaeuiMdefaneaacaqGSbGaae4BaiaabEgaaaGccaWGobaaaa!3B61!\[\mathop {{\rm{log}}}\nolimits^\Theta N\]	1996	Giovanni Coppola Antonio Vitolo
+	The distribution of primes in a short interval	2021	Jan Feliksiak
+	A Note on the Distribution of Primes in Intervals	2018	Tristan Freiberg
+ PDF Chat	On an average of primes in short intervals	1982	Alberto Perelli Stephen Salerno
+	NOTE ON THE DISTRIBUTION OF THE INTERVALS BETWEEN PRIME NUMBERS	1946	LORD CHERWELL
+	A Short Intervals Result in Additive Prime Number Theory	1978	P. M. Ross
+ PDF Chat	A note on primes in short intervals	2008	Danilo Bazzanella
+	$\lambda$-th moments of primes in short intervals	2004	Tsz Ho Chan
+ PDF Chat	A note on the number of primes in short intervals	1990	D. A. Goldston S. M. Gonek
+ PDF Chat	The number of primes in a short interval.	1988
+	The number of primes in a short interval.	1988	D. R. Heath‐Brown
+	On the uniform distribution of prime powers	1974	Ivan Stux
+	Primes in short intervals	1984	Henryk Iwaniec J. Pintz
+	Primes in short intervals	1982	Glyn Harman
+ PDF Chat	Primes in short intervals.	1985	Helmut Maier

Works That Cite This (147)

Action	Title	Year	Authors
+	THE DISTRIBUTION OF PRIME NUMBERS	2007	K. Soundararajan
+ PDF Chat	Correlations of the von Mangoldt and higher divisor functions I. Long shift ranges	2018	Kaisa Matomäki Maksym Radziwiłł Terence Tao
+ PDF Chat	Close to Uniform Prime Number Generation with Fewer Random Bits	2014	Pierre-Alain Fouque Mehdi Tibouchi
+ PDF Chat	Sums of singular series with large sets and the tail of the distribution of primes	2023	Vivian Kuperberg
+ PDF Chat	Monotone Nondecreasing Sequences of the Euler Totient Function	2024	Terence Tao
+ PDF Chat	Large prime gaps and probabilistic models	2023	William D. Banks Kevin Ford Terence Tao
+ PDF Chat	On the distribution of modular square roots of primes	2024	Ilya D. Shkredov Igor E. Shparlinski Alexandru Zaharescu
+	On the differences between consecutive prime numbers, I	2011	D. A. Goldston Andrew Ledoan
+	Fast Generation of Provable Primes Using Search in Arithmetic Progressions	2007	Preda Mihăilescu
+	Polignac Numbers, Conjectures of Erdős on Gaps Between Primes, Arithmetic Progressions in Primes, and the Bounded Gap Conjecture	2016	J. Pintz

Works Cited by This (4)

Action	Title	Year	Authors
+	On the difference between consecutive numbers prime to n?III	1965	C. Hooley
+ PDF Chat	Some problems of ‘Partitio numerorum’; III: On the expression of a number as a sum of primes	1923	G. H. Hardy J. E. Littlewood
+ PDF Chat	Small differences between prime numbers	1966	Enrico Bombieri H. Davenport
+	On the difference between consecutive numbers prime to $n$. II.	2022	C. Hooley