Applications of some exponential sums on prime powers: a survey

Alessandro Languasco

Type: Preprint

Publication Date: 2016-01-01

Citations: 12

DOI: https://doi.org/10.48550/arxiv.1606.00860

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Works That Cite This (13)

Action	Title	Year	Authors
+	Asymptotics of Goldbach Representations.	2018	Gautami Bhowmik Karin Halupczok
+ PDF Chat	Asymptotics of Goldbach representations	2020	Gautami Bhowmik Karin Halupczok
+ PDF Chat	Some Identities Involving the Cesàro Average of the Goldbach Numbers	2019	Marco Cantarini
+	On the Cesàro average of the numbers that can be written as sum of a prime and two squares of primes	2017	Marco Cantarini
+	Explicit formulae for averages of Goldbach representations	2019	Jörg Brüdern Jerzy Kaczorowski Alberto Perelli
+	A Cesàro average for an additive problem with an arbitrary number of prime powers and squares	2020	Marco Cantarini Alessandro Gambini Alessandro Zaccagnini
+ PDF Chat	A Cesàro average for an additive problem with an arbitrary number of prime powers and squares	2022	Marco Cantarini Alessandro Gambini Alessandro Zaccagnini
+	Explicit formulae for averages of Goldbach representations	2017	Jörg Brüdern Jerzy Kaczorowski Alberto Perelli
+ PDF Chat	A Cesàro average of generalised Hardy-Littlewood numbers	2019	Alessandro Languasco Alessandro Zaccagnini
+ PDF Chat	Cesàro average in short intervals for Goldbach numbers	2017	Alessandro Languasco Alessandro Zaccagnini

Works Cited by This (22)

Action	Title	Year	Authors
+ PDF Chat	Tables of Integral Transforms	2005	Bateman Manuscript H. Bateman Arthur Erdélyi
+	A Diophantine problem with prime variables	2012	Alessandro Languasco Alessandro Zaccagnini
+ PDF Chat	Sum of one prime and two squares of primes in short intervals	2015	Alessandro Languasco Alessandro Zaccagnini
+	Hecke's Functional Equation and Arithmetical Identities	1961	K. Chandrasekharan Raghavan Narasimhan
+	Hilbert's Inequality	1974	Hugh L. Montgomery R. C. Vaughan
+	SOME RESULTS IN THE ADDITIVE PRIME-NUMBER THEORY	1938	Loo-Keng Hua
+	On the sum of a square and a square of a prime	2001	Stephan Daniel
+	The additive problem with one prime and two squares of primes	2013	Lilu Zhao
+ PDF Chat	On the fractional parts of $x/n$ and related sequences. III	1977	Bahman Saffari R. C. Vaughan
+ 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