[Sur la distribution horizontale des zéros de combinaisons linéaires des produits eulériens]
Nous étudions certaines séries de Dirichlet naturelles qui satisfont une équation fonctionelle ainsi qu'une fonction dénombrant leurs zéros dans certains domaines rectangulaires proches de la droite critique
We investigate the behavior of the zero counting function of certain natural Dirichlet series with functional equation in the immediate vicinity of the critical line
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Dennis A. Hejhal 1, 2
@article{CRMATH_2004__338_10_755_0, author = {Dennis A. Hejhal}, title = {On the horizontal distribution of zeros of linear combinations of {Euler} products}, journal = {Comptes Rendus. Math\'ematique}, pages = {755--758}, publisher = {Elsevier}, volume = {338}, number = {10}, year = {2004}, doi = {10.1016/j.crma.2004.03.022}, language = {en}, }
Dennis A. Hejhal. On the horizontal distribution of zeros of linear combinations of Euler products. Comptes Rendus. Mathématique, Volume 338 (2004) no. 10, pp. 755-758. doi : 10.1016/j.crma.2004.03.022. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2004.03.022/
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- The number of zeros of linear combinations of
-functions near the critical line, Journal d'Analyse Mathématique, Volume 152 (2024) no. 2, pp. 669-727 | DOI:10.1007/s11854-023-0307-y | Zbl:1552.11116 - On the zeros of Weng zeta functions for Chevalley groups, Manuscripta Mathematica, Volume 148 (2015) no. 1-2, pp. 119-176 | DOI:10.1007/s00229-015-0736-8 | Zbl:1391.11102
- Turing: a bit off the beaten path, The Mathematical Intelligencer, Volume 29 (2007) no. 1, p. 27 | DOI:10.1007/bf02984757
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