scientific article; zbMATH DE number 6271639

zbMath1344.11006MaRDI QIDQ5403886

M. Ram Murty

Publication date: 19 March 2014

Full work available at URL: http://hrj.episciences.org/180/pdf

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zbMATH Keywords

trigonometric seriesmean valuesRamanujan sumsRamanujan expansions

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (15)

On Ramanujan sums of a real variable and a new Ramanujan expansion for the divisor function ⋮ Ramanujan expansions of arithmetic functions of several variables ⋮ Partial sums of arithmetical functions with absolutely convergent Ramanujan expansions ⋮ Finite Ramanujan expansions and shifted convolution sums of arithmetical functions. II. ⋮ AFFINE CONVOLUTIONS, RAMANUJAN–FOURIER EXPANSIONS AND SOPHIE GERMAIN PRIMES ⋮ On the error term in a Parseval type formula in the theory of Ramanujan expansions. II. ⋮ ON AN EXTENSION OF LUCHT’S THEOREM ⋮ On partial sums of arithmetical functions of two variables with absolutely convergent Ramanujan expansions ⋮ Finite Ramanujan expansions and shifted convolution sums of arithmetical functions ⋮ Ramanujan-Fourier series and a theorem of Ingham ⋮ ON AN APPLICATION OF EXTENDED RAMANUJAN SUMS ⋮ The Ramanujan sum and Chebotarev densities ⋮ A note on arithmetical functions with absolutely convergent Ramanujan expansions ⋮ Eigenvalues of Matrices whose Elements are Ramanujan Sums or Kloosterman Sums ⋮ On the error term in a Parseval type formula in the theory of Ramanujan expansions

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