On the Hardy-Littlewood prime tuples conjecture and higher convolutions of Ramanujan sums

Sneha Chaubey, Shivani Goel, M. Ram Murty

Type: Article

Publication Date: 2023-09-15

Citations: 3

DOI: https://doi.org/10.7169/facm/2048

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Locations

Functiones et Approximatio Commentarii Mathematici - View

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+	On near orthogonality of certain k-vectors involving generalized Ramanujan sums	2024	Neha Elizabeth Thomas K Vishnu Namboothiri
+	Higher convolutions of Ramanujan sums	2024	Shivani Goel M. Ram Murty
+	Moments of averages of Ramanujan sums over number fields	2024	Sneha Chaubey Shivani Goel

Works Cited by This (12)

Action	Title	Year	Authors
+ PDF Chat	On the error term in a Parseval type formula in the theory of Ramanujan expansions	2015	Giovanni Coppola M. Ram Murty Biswajyoti Saha
+	Ramanujan — Fourier series and a theorem of Ingham	2014	H. Gopalakrishna Gadiyar M. Ram Murty R. Padma
+	A SURVEY OF RAMANUJAN EXPANSIONS	2010	Lutz Lucht
+	Expansions of Arithmetical Functions in Infinite Series	1932	R. D. Carmichael
+ 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
+	Summation formulae involving arithmetic functions	1949	L. Mirsky
+	Ramanujan–Fourier series, the Wiener–Khintchine formula and the distribution of prime pairs	1999	H. Gopalkrishna Gadiyar R. Padma
+	A note on arithmetical functions with absolutely convergent Ramanujan expansions	2015	Biswajyoti Saha
+	Finite Ramanujan expansions and shifted convolution sums of arithmetical functions	2016	Giovanni Coppola M. Ram Murty Biswajyoti Saha
+	The mean-value of a product of shifted multiplicative functions and the average number of points of elliptic curves	2015	R. Balasubramanian Sumit Giri