Laboratoire de Mathématiques de Besançon - UMR 6623 CNRS

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Lebacque Philippe


I am currently Maître de Conférences at the Université de Franche-Comté. During the last years, I was researcher at inria, at the Poncelet Laboratory in Moscow and at the Universities of Heidelberg, Nottingham and Regensburg.

For more information, you can download my CV.

Contact information

Laboratoire de Mathématiques de Besançon

UFR Sciences et techniques

16, route de Gray

25 030 Besançon, France

Office : 407 B

Phone : +33 3 81 66 63 58

Email :’at’

Research interests

  • Asymptotic problems on global fields, zeta-functions, error-correcting codes, sphere packings...

  • Higher dimensional class field theory and class field towers

  • Zeta functions

  • Explicit methods in arithmetic

Projects I am/was involved in.

  • I take part to most of the Manta meetings.

  • I joined the GRACE project for two years (2014-2016).

  • I am part of the ANR Project Globes run by Jérôme Poineau in Caen.

  • I organized the special year in arithmetic geometry in the French-Russian Poncelet Laboratory in Moscow (see the webpage).

  • I was part of the DFG Project algebraic cycles and L-functions as researcher and postdoc.

  • I was part of the EPSRC Project two dimensional adelic analysis as postdoc.

Papers and Preprints

  1. P. Lebacque, Sur quelques propriétés asymptotiques des corps globaux, PhD thesis, Université de Marseille II (Mai 2007).

  2. P. Lebacque, Generalised Mertens and Brauer-Siegel Theorems, Acta Arith. 130(2007),no. 4, 333–350

  3. P. Lebacque, On Tsfasman-Vladuts invariants of infinite global fields, IJNT 6 (2010),no.6,1419–1448.

  4. P. Lebacque et A. Zykin, On logarithmic derivatives of zeta function in families, IJNT 7 (2011), no.8,2139–2156 pdf

  5. P. Lebacque et A. Zykin, Логарифмическая производная дзета функций в семействах глобальных полей, Доклады Академии Наук, 2010, том 431, No 2, с. 162-164

  6. P. Lebacque et A. Zykin, Asymptotic methods in number theory and algebraic geometry, PMB 2011.

  7. J. Blondeau, P. Lebacque et C. Maire, On the cohomological dimension of some pro-p-extensions above the cyclotomic Zp extension of a number field, Mosc. Math. J. 13 (2013), no. 4, 601–619

  8. P. Lebacque, Quelques résultats effectifs concernant les invariants de Tsfasman-Vladuts (old version), Annales de l’institut Fourier, 65 no. 1 (2015), p. 63–99

  9. P. Lebacque, A. Schmidt, Свойство K(π,1) для неособых отмеченных кривых над конечными полями, Изв. РАН. Сер. матем., 2015, том 79, выпуск 5, страницы 193–200
    english version : The K(π,1)-property for marked curves over finite fields, Izv. RAN. Ser. Mat., 2015, Volume 79, Issue 5, Pages 193–200

  10. P. Lebacque, A. Zykin, On the number of rational points of Jacobians over finite fields, Acta Arith. 169 (2015), 373–384

  11. P. Lebacque, A. Zykin, On M-functions associated with modular forms, submitted

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