[Une note sur les théorèmes inverses de GL2]
Weil's well-known converse theorem shows that modular forms
Le théorème bien connu de Weil montre que les formes modulaires
Accepté le :
Publié le :
A. Diaconu 1 ; A. Perelli 2 ; A. Zaharescu 3
@article{CRMATH_2002__334_8_621_0, author = {A. Diaconu and A. Perelli and A. Zaharescu}, title = {A note on {GL\protect\textsubscript{2}} converse theorems}, journal = {Comptes Rendus. Math\'ematique}, pages = {621--624}, publisher = {Elsevier}, volume = {334}, number = {8}, year = {2002}, doi = {10.1016/S1631-073X(02)02277-X}, language = {en}, }
A. Diaconu; A. Perelli; A. Zaharescu. A note on GL2 converse theorems. Comptes Rendus. Mathématique, Volume 334 (2002) no. 8, pp. 621-624. doi : 10.1016/S1631-073X(02)02277-X. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02277-X/
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, Journal of Number Theory, Volume 217 (2020), pp. 142-162 | DOI:10.1016/j.jnt.2020.04.008 | Zbl:1465.11122 - A converse theorem without root numbers, Mathematika, Volume 65 (2019) no. 4, pp. 862-873 | DOI:10.1112/s0025579319000184 | Zbl:1442.11075
- A conjectural extension of Hecke's converse theorem, The Ramanujan Journal, Volume 47 (2018) no. 3, pp. 659-684 | DOI:10.1007/s11139-017-9953-y | Zbl:1443.11034
- Converse theorems: from the Riemann zeta function to the Selberg class, Bollettino dell'Unione Matematica Italiana, Volume 10 (2017) no. 1, pp. 29-53 | DOI:10.1007/s40574-016-0085-x | Zbl:1407.11105
- Weil's Converse Theorem with Poles, International Mathematics Research Notices, Volume 2014 (2014) no. 19, p. 5328 | DOI:10.1093/imrn/rnt127
- The Last Period, Rational Number Theory in the 20th Century (2012), p. 307 | DOI:10.1007/978-0-85729-532-3_6
- Converse theorems assuming a partial Euler product, The Ramanujan Journal, Volume 15 (2008) no. 2, pp. 205-218 | DOI:10.1007/s11139-007-9073-1 | Zbl:1194.11061
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