On Berndt's summation formula
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2021
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866915878506856448 |
|---|---|
| author | Patkowski, Alexander E. |
| author_facet | Patkowski, Alexander E. |
| contents | We offer a proof of a summation formula equivalent to one due to Berndt. Our proof uses the M$\ddot{u}$ntz formula and the Poisson summation formula. By utilizing known properties of Mellin inversion, we give an example from a discontinuous function. Several new applications are offered as corollaries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_06256 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | On Berndt's summation formula Patkowski, Alexander E. Number Theory We offer a proof of a summation formula equivalent to one due to Berndt. Our proof uses the M$\ddot{u}$ntz formula and the Poisson summation formula. By utilizing known properties of Mellin inversion, we give an example from a discontinuous function. Several new applications are offered as corollaries. |
| title | On Berndt's summation formula |
| topic | Number Theory |
| url | https://arxiv.org/abs/2111.06256 |