On the Cesàro average of the numbers that can be written as sum of a prime and two squares of primes

Marco Cantarini

Type: Article

Publication Date: 2017-10-17

Citations: 9

DOI: https://doi.org/10.1016/j.jnt.2017.09.001

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Locations

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

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Works That Cite This (9)

Action	Title	Year	Authors
+ PDF Chat	Some Identities Involving the Cesàro Average of the Goldbach Numbers	2019	Marco Cantarini
+ 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
+ PDF Chat	Cesàro averages for Goldbach representations with summands in arithmetic progressions	2021	Marco Cantarini Alessandro Gambini Alessandro Zaccagnini
+ PDF Chat	A note on an average additive problem with prime numbers	2020	Marco Cantarini Alessandro Gambini Alessandro Zaccagnini
+ PDF Chat	A note on Clebsch–Gordan integral, Fourier–Legendre expansions and closed form for hypergeometric series	2021	Marco Cantarini
+	Symbolic computations via Fourier–Legendre expansions and fractional operators	2021	John M. Campbell Marco Cantarini Jacopo D’Aurizio
+ PDF Chat	Laplace convolutions of weighted averages of arithmetical functions	2024	Marco Cantarini Alessandro Gambini Alessandro Zaccagnini
+	A note on Clebsch-Gordan integral, Fourier-Legendre expansions and closed form for hypergeometric series	2021	Marco Cantarini
+	Explicit formula for the average of Goldbach and prime tuples representations	2018	Marco Cantarini

Works Cited by This (19)

Action	Title	Year	Authors
+ PDF Chat	Tables of Integral Transforms	2005	Bateman Manuscript H. Bateman Arthur Erdélyi
+ 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
+ PDF Chat	Sums of one prime and two prime squares	2008	Hongze Li
+	On sums of squares of primes II	2010	Glyn Harman Angel Kumchev
+	SOME RESULTS IN THE ADDITIVE PRIME-NUMBER THEORY	1938	Loo-Keng Hua
+	A Cesàro average of Hardy–Littlewood numbers	2012	Alessandro Languasco Alessandro Zaccagnini
+	On generalized quadratic equations in three prime variables	1993	Man-Cheung Leung Ming-Chit Liu
+	The additive problem with one prime and two squares of primes	2013	Lilu Zhao
+	ON HADAMARD COMPOSITION WITH ALGEBRAIC-LOGARITHMIC SINGULARITIES	1958	R. Wilson