Blomer, Valentin; Fouvry, Étienne; Kowalski, Emmanuel; Michel, Philippe; Milićević, Djordje; Sawin, Will The second moment theory of families of \(L\)-functions-the case of twisted Hecke \(L\)-functions. (English) Zbl 1519.11001 Memoirs of the American Mathematical Society 1394. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5678-8/pbk; 978-1-4704-7350-1/ebook). v, 148 p. (2023). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11-02 11M06 11F11 11F12 11F66 11F67 11L05 11L40 11F72 11T23 PDFBibTeX XMLCite \textit{V. Blomer} et al., The second moment theory of families of \(L\)-functions-the case of twisted Hecke \(L\)-functions. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 1519.11001) Full Text: DOI arXiv
Michel, Philippe; Ramakrishnan, Dinakar; Yang, Liyang Bessel Periods on \(U(2,1) \times U(1,1)\), Relative Trace Formula and Non-Vanishing of Central L-values. arXiv:2309.08490 Preprint, arXiv:2309.08490 [math.NT] (2023). MSC: 11F67 11F70 11F72 BibTeX Cite \textit{P. Michel} et al., ``Bessel Periods on $U(2,1) \times U(1,1)$, Relative Trace Formula and Non-Vanishing of Central L-values'', Preprint, arXiv:2309.08490 [math.NT] (2023) Full Text: arXiv OA License
Blomer, Valentin; Fouvry, Étienne; Kowalski, Emmanuel; Michel, Philippe; Milićević, Djordje On moments of twisted \(L\)-functions. (English) Zbl 1476.11081 Am. J. Math. 139, No. 3, 707-768 (2017). MSC: 11F67 11F66 11L05 PDFBibTeX XMLCite \textit{V. Blomer} et al., Am. J. Math. 139, No. 3, 707--768 (2017; Zbl 1476.11081) Full Text: DOI arXiv
Michel, Philippe; Ramakrishnan, Dinakar Consequences of the Gross-Zagier formulae: stability of average \(L\)-values, subconvexity, and non-vanishing mod \(p\). (English) Zbl 1276.11057 Goldfeld, Dorian (ed.) et al., Number theory, analysis and geometry. In memory of Serge Lang. Berlin: Springer (ISBN 978-1-4614-1259-5/hbk; 978-1-4614-1260-1/ebook). 437-459 (2012). MSC: 11F11 11F12 11F67 PDFBibTeX XMLCite \textit{P. Michel} and \textit{D. Ramakrishnan}, in: Number theory, analysis and geometry. In memory of Serge Lang. Berlin: Springer. 437--459 (2012; Zbl 1276.11057) Full Text: DOI arXiv
Einsiedler, Manfred; Lindenstrauss, Elon; Michel, Philippe; Venkatesh, Akshay Distribution of periodic torus orbits and Duke’s theorem for cubic fields. (English) Zbl 1248.37009 Ann. Math. (2) 173, No. 2, 815-885 (2011). Reviewer: Anke Pohl (Göttingen) MSC: 37A17 37A45 22E40 11M06 11E57 PDFBibTeX XMLCite \textit{M. Einsiedler} et al., Ann. Math. (2) 173, No. 2, 815--885 (2011; Zbl 1248.37009) Full Text: DOI arXiv
Michel, Philippe; Venkatesh, Akshay The subconvexity problem for \(\mathrm{GL}_2\). (English) Zbl 1376.11040 Publ. Math., Inst. Hautes Étud. Sci. 111, 171-271 (2010). MSC: 11F67 11F66 11F70 11F37 22E55 PDFBibTeX XMLCite \textit{P. Michel} and \textit{A. Venkatesh}, Publ. Math., Inst. Hautes Étud. Sci. 111, 171--271 (2010; Zbl 1376.11040) Full Text: DOI arXiv
Michel, Philippe; Venkatesh, Akshay Heegner points and non-vanishing of Rankin/Selberg \(L\)-functions. (English) Zbl 1214.11063 Duke, William (ed.) et al., Analytic number theory. A tribute to Gauss and Dirichlet. Proceedings of the Gauss-Dirichlet conference, Göttingen, Germany, June 20–24, 2005. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4307-9/pbk). Clay Mathematics Proceedings 7, 169-183 (2007). MSC: 11F66 11F67 11G05 PDFBibTeX XMLCite \textit{P. Michel} and \textit{A. Venkatesh}, Clay Math. Proc. 7, 169--183 (2007; Zbl 1214.11063)
Michel, Philippe; Venkatesh, Akshay Equidistribution, \(L\)-functions and ergodic theory: on some problems of Yu. Linnik. (English) Zbl 1157.11019 Sanz-Solé, Marta (ed.) et al., Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22–30, 2006. Volume II: Invited lectures. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-022-7/hbk). 421-457 (2006). MSC: 11F66 11F67 11M41 37A45 PDFBibTeX XMLCite \textit{P. Michel} and \textit{A. Venkatesh}, in: Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22--30, 2006. Volume II: Invited lectures. Zürich: European Mathematical Society (EMS). 421--457 (2006; Zbl 1157.11019)
Harcos, Gergely; Michel, Philippe The subconvexity problem for Rankin-Selberg \(L\)-functions and equidistribution of Heegner points. II. (English) Zbl 1111.11027 Invent. Math. 163, No. 3, 581-655 (2006). Reviewer: Yuk-Kam Lau (Pokfulam) MSC: 11F66 11F67 PDFBibTeX XMLCite \textit{G. Harcos} and \textit{P. Michel}, Invent. Math. 163, No. 3, 581--655 (2006; Zbl 1111.11027) Full Text: DOI
Cogdell, J.; Michel, P. On the complex moments of symmetric power \(L\)-functions at \(s = 1\). (English) Zbl 1093.11032 Int. Math. Res. Not. 2004, No. 31, 1561-1617 (2004). Reviewer: B. Z. Moroz (Bonn) MSC: 11F67 11F66 11F11 11M41 PDFBibTeX XMLCite \textit{J. Cogdell} and \textit{P. Michel}, Int. Math. Res. Not. 2004, No. 31, 1561--1617 (2004; Zbl 1093.11032) Full Text: DOI
Kowalski, E.; Michel, P. Two non-vanishing theorems of special values of \(L\)-functions. (Deux théorèmes de non-annulation de valeurs spéciales de fonctions \(L\).) (French) Zbl 0998.11027 Manuscr. Math. 104, No. 1, 1-19 (2001). Reviewer: Kevin L.James (Clemson) MSC: 11F67 11M41 PDFBibTeX XMLCite \textit{E. Kowalski} and \textit{P. Michel}, Manuscr. Math. 104, No. 1, 1--19 (2001; Zbl 0998.11027) Full Text: DOI
Kowalski, E.; Michel, P. Explicit upper bound for the (analytic) rank of \(J_0(q)\). (English) Zbl 0999.11026 Isr. J. Math. 120, Pt. A, 179-204 (2000). Reviewer: Amílcar Pacheco (Rio de Janeiro) MSC: 11F67 11G40 PDFBibTeX XMLCite \textit{E. Kowalski} and \textit{P. Michel}, Isr. J. Math. 120, Part A, 179--204 (2000; Zbl 0999.11026) Full Text: DOI
Kowalski, E.; Michel, P.; VanderKam, J. Mollification of the fourth moment of automorphic \(L\)-functions and arithmetic applications. (English) Zbl 1054.11026 Invent. Math. 142, No. 1, 95-151 (2000). MSC: 11F66 11F67 11M41 PDFBibTeX XMLCite \textit{E. Kowalski} et al., Invent. Math. 142, No. 1, 95--151 (2000; Zbl 1054.11026) Full Text: DOI
Kowalski, E.; Michel, P.; VanderKam, J. Non-vanishing of high derivatives of automorphic \(L\)-functions at the center of the critical strip. (English) Zbl 1020.11033 J. Reine Angew. Math. 526, 1-34 (2000). MSC: 11F67 11F66 11G40 PDFBibTeX XMLCite \textit{E. Kowalski} et al., J. Reine Angew. Math. 526, 1--34 (2000; Zbl 1020.11033) Full Text: DOI
Kowalski, E.; Michel, P. A lower bound for the rank of \(J_0(q)\). (English) Zbl 0973.11065 Acta Arith. 94, No. 4, 303-343 (2000). Reviewer: Amílcar Pacheco (Rio de Janeiro) MSC: 11G40 11F67 PDFBibTeX XMLCite \textit{E. Kowalski} and \textit{P. Michel}, Acta Arith. 94, No. 4, 303--343 (2000; Zbl 0973.11065) Full Text: DOI EuDML
Kowalski, E.; Michel, P. The analytic rank of \(J_0(q)\) and zeros of automorphic \(L\)-functions. (English) Zbl 1161.11359 Duke Math. J. 100, No. 3, 503-542 (1999). Reviewer: Olaf Ninnemann (Berlin) MSC: 11G40 11F67 11G10 PDFBibTeX XMLCite \textit{E. Kowalski} and \textit{P. Michel}, Duke Math. J. 100, No. 3, 503--542 (1999; Zbl 1161.11359) Full Text: DOI