36 citations
- Institut Camille JordanFR17 papers
- Centre National de la Recherche ScientifiqueFR11 papers
- Bouygues (France)FR4 papers
- Lyon CollegeUS4 papers
- Nankai UniversityCN4 papers
- Centre de Recherche Astrophysique de LyonFR3 papers
- Institute of Nuclear Physics of LyonFR2 papers
- Observatoire de LyonFR2 papers
- Tottori UniversityJP2 papers
- Université Grenoble AlpesFR2 papers
- Université Paris CitéFR2 papers
- Université Paris-SudFR2 papers
4 papers · 1 filter
Demonstration de la conjecture de Dumont
Bodo Lass
Dumont has conjectured a marvellous identity, which generalizes, in particular, the classical results of Lagrange, Gauss, Jacobi and Kronecker on the sums of two, three and four sq…
Recent progress in the study of representations of integers as sums of squares
Heng Huat Chan, Christian Krattenthaler
In this article, we collect the recent results concerning the representations of integers as sums of an even number of squares that are inspired by conjectures of Kac and Wakimoto.…
Normalized height of projective toric varieties
Patrice Philippon, Martin Sombra
We present an explicit expression for the normalized height of a projective toric variety. This expression decomposes as a sum of local contributions, each term being the integral…
Séries hypergéométriques basiques, -analogues des valeurs de la fonction zêta et séries d'Eisenstein
C. Krattenthaler, T. Rivoal, W. Zudilin
Nous étudions la nature arithmétique de -analogues des valeurs de la fonction zêta de Riemann, notamment des valeurs des fonctions $ζ_q(s)= \sum_{k=1} ^{\infty}q^k \sum_{…