Moments of averages of generalized Ramanujan sums

Nicolas Robles, Arindam Roy

Type: Article

Publication Date: 2016-04-28

Citations: 14

DOI: https://doi.org/10.1007/s00605-016-0907-z

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Locations

Monatshefte für Mathematik - View
arXiv (Cornell University) - View - PDF

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Works That Cite This (14)

Action	Title	Year	Authors
+	On the multivariable generalization of Anderson-Apostol sums	2018	Isao Kiuchi Friedrich Pillichshammer Sumaia Saad Eddin
+	On Sums of Sums Involving the Von Mangoldt Function	2024	Isao Kiuchi Wataru Takeda
+	On sums of sums involving cube-full numbers	2022	Isao Kiuchi
+ PDF Chat	On Ramanujan sums of a real variable and a new Ramanujan expansion for the divisor function	2021	Matthew S. Fox Chaitanya Karamchedu
+ PDF Chat	Sums of averages of generalized Ramanujan sums	2017	Isao Kiuchi
+ PDF Chat	Mean value estimates of gcd and lcm-sums	2021	Sneha Chaubey Shivani Goel
+	On sums of sums involving the Liouville function	2024	Isao Kiuchi
+	Sums of logarithmic weights involving r-full numbers	2024	Isao Kiuchi
+ PDF Chat	The average size of Ramanujan sums over cubic number fields	2023	Jing Ma Huayan Sun Wenguang Zhai
+ PDF Chat	On the polynomial Ramanujan sums over finite fields	2017	Zhiyong Zheng

Works Cited by This (26)

Action	Title	Year	Authors
+	A Brun-Titschmarsh theorem for multiplicative functions.	1980	Peter Shiu
+	Sur un problème du calcul des fonctions asymptotiques.	1903	Georges Voronoï
+	<i>Theory of Functions of a Complex Variable</i>	1966	A. I. Markushevich Richard A. Silverman J. Gillis
+ PDF Chat	Über die punktweise Konvergenz von Ramanujan-Entwicklungen zahlentheoretischer Funktionen	1984	Adolf Hildebrand
+	None	2001	Lutz Lucht K. Reinfenrath
+	Hecke's Functional Equation and Arithmetical Identities	1961	K. Chandrasekharan Raghavan Narasimhan
+	Das asymptotische Verhalten von Summen �ber multiplikative Funktionen	1961	Eduard Wirsing
+	Exponential Sums and Lattice Points III	2003	M. N. Huxley
+ PDF Chat	Short sums of certain arithmetic functions	1998	M. Nair Gérald Tenenbaum
+	Expansions of Arithmetical Functions in Infinite Series	1932	R. D. Carmichael