Analogues of Euler and Poisson summation formulae
| dc.creator | Rane, Vivek V | |
| dc.date | 2003-10-18 | |
| dc.date.accessioned | 2026-07-07T05:02:03Z | |
| dc.date.available | 2026-07-07T05:02:03Z | |
| dc.description | Euler--Maclaurin and Poisson analogues of the summations $\sum_{a < n \leq b} χ(n) f(n)$, $\sum_{a < n \leq b} d(n) f(n)$, $\sum_{a < n \leq b} d(n) χ(n) f(n)$ have been obtained in a unified manner, where $(χ(n))$ is a periodic complex sequence; $d(n)$ is the divisor function and $f(x)$ is a sufficiently smooth function on $[a,b]$. We also state a generalised Abel's summation formula, generalised Euler's summation formula and Euler's summation formula in several variables. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/math/0310285 | |
| dc.identifier | http://arxiv.org/abs/math/0310285 | |
| dc.identifier | Proc. Indian Acad. Sci. (Math. Sci.), Vol. 113, No. 3, August 2003, pp. 213-221 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68904 | |
| dc.subject | Number Theory | |
| dc.title | Analogues of Euler and Poisson summation formulae | |
| dc.type | text |