Journal article
Natural boundaries for Euler products of Igusa zeta functions of elliptic curves
- Abstract:
- We study the analytic behavior of adelic versions of Igusa integrals given by integer polynomials defining elliptic curves. By applying results on the meromorphic continuation of symmetric power L-functions and the Sato–Tate conjectures, we prove that these global Igusa zeta functions have some meromorphic continuation until a natural boundary beyond which no continuation is possible.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Accepted manuscript, pdf, 181.3KB)
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- Publisher copy:
- 10.1142/S1793042118501415
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Authors
Bibliographic Details
- Publisher:
- World Scientific Publishing Publisher's website
- Journal:
- International Journal of Number Theory Journal website
- Volume:
- 14
- Issue:
- 8
- Pages:
- 2317-2331
- Publication date:
- 2018-07-03
- Acceptance date:
- 2018-03-26
- DOI:
- EISSN:
-
1793-7310
- ISSN:
-
1793-0421
- Source identifiers:
-
860007
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
pubs:860007
- UUID:
-
uuid:87314b4b-e680-48f0-b6e1-84da6b4731bd
- Local pid:
- pubs:860007
- Deposit date:
- 2018-06-30
Terms of use
- Copyright holder:
- World Scientific Publishing
- Copyright date:
- 2018
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from World Scientific Publishing at http://dx.doi.org/10.1142/S1793042118501415
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