A transformation formula with primitive character
We prove a transformation formula for the exponential sum involving the divisor function, and primitive character modulo q. This formula can be applied to obtain meromorphic continuation for the Mellin transform of the square of Dirichlet L-function with primitive character.
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| Format: | Article |
| Language: | English |
| Published: |
Vilnius University Press
2013-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Subjects: | |
| Online Access: | https://www.journals.vu.lt/LMR/article/view/14875 |
| _version_ | 1819018299534475264 |
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| author | Aidas Balčiūnas |
| author_facet | Aidas Balčiūnas |
| author_sort | Aidas Balčiūnas |
| collection | DOAJ |
| description | We prove a transformation formula for the exponential sum involving the divisor function, and primitive character modulo q. This formula can be applied to obtain meromorphic continuation for the Mellin transform of the square of Dirichlet L-function with primitive character. |
| first_indexed | 2024-12-21T03:17:13Z |
| format | Article |
| id | doaj.art-630fd91229c04130b6ab2d92b5954aed |
| institution | Directory Open Access Journal |
| issn | 0132-2818 2335-898X |
| language | English |
| last_indexed | 2024-12-21T03:17:13Z |
| publishDate | 2013-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj.art-630fd91229c04130b6ab2d92b5954aed2022-12-21T19:17:47ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2013-12-0154A10.15388/LMR.A.2013.04A transformation formula with primitive characterAidas Balčiūnas0Vilnius UniversityWe prove a transformation formula for the exponential sum involving the divisor function, and primitive character modulo q. This formula can be applied to obtain meromorphic continuation for the Mellin transform of the square of Dirichlet L-function with primitive character.https://www.journals.vu.lt/LMR/article/view/14875Dirichlet $L$-functionEstermann zeta-functionMellin transform |
| spellingShingle | Aidas Balčiūnas A transformation formula with primitive character Lietuvos Matematikos Rinkinys Dirichlet $L$-function Estermann zeta-function Mellin transform |
| title | A transformation formula with primitive character |
| title_full | A transformation formula with primitive character |
| title_fullStr | A transformation formula with primitive character |
| title_full_unstemmed | A transformation formula with primitive character |
| title_short | A transformation formula with primitive character |
| title_sort | transformation formula with primitive character |
| topic | Dirichlet $L$-function Estermann zeta-function Mellin transform |
| url | https://www.journals.vu.lt/LMR/article/view/14875 |
| work_keys_str_mv | AT aidasbalciunas atransformationformulawithprimitivecharacter AT aidasbalciunas transformationformulawithprimitivecharacter |