Tóth, László (2004) Remarks on generalized Ramanujan sums and even functions. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 20 (2). pp. 233-238. ISSN 0866-0174
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Abstract
We prove a simple formula for the main value of r-even functions and give applications of it. Considering the generalized Ramanujan sums cA(n, r) involving regular systems. A of divisors we show that it is not possible to develop a Fourier theory with respect to cA(n, r), like in the the usual case of classical Ramanujan sums c(n, r).
| Item Type: | Article |
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| Uncontrolled Keywords: | Ramanujan sum, r-even function, mean value, regular system of divisors |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 31 Jan 2024 06:56 |
| Last Modified: | 31 Jan 2024 06:56 |
| URI: | http://real.mtak.hu/id/eprint/186769 |
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