Publications et articles soumis
7. pdf
Annihilators of the ideal class group of a cyclic extension of an imaginary quadratic field (2017), 31 p. to be published in Canadian J. of Mathematics
(joint work with R. Kucera).
6. pdf
GL_2-real analytic Eisenstein series twisted by parameter matrices and by multiplicative
integral quasi-characters (2016), monograph 148 p. , submitted
5. pdf
Some arithmetic properties of partial zeta functions weighted by sign characters,
J. Number Theory 130 (2010), no. 3, 803–814.
4. pdf erratum
Functional equation for partial zeta functions twisted by additive characters,
Acta Arith. 136 (2009), no. 3, 803–814.
3. pdf
Computation of $p$-units in ray class fields of real quadratic number fields,
Math. Comp. 78 (2009), no. 268, 2307–2345. Magma_software
2. pdf
Relationships between p-unit constructions for real quadratic fields,
Ann. Sci. Math. Québec. Vol. 34 (2010), no. 2, p. 119-185.
1. pdf
$p$-units in ray class fields of real quadratic number fields,
Compos. Math. 145 (2009), no. 2, 364–392..
Articles publiés dans des comptes rendus
1. pdf
Non-abelian descent and the Generalized Fermat equation, Arithmetic
geometry,55–69, Clay Math. Proc., 8, Amer. Math. Soc., Providence, RI, 2009.
Articles de vulgarisation
1. pdf
John Tate, Le grand explorateur de la théorie algébrique des nombres.
Bulletin AMQ, Mai 2010, Vol. 50, no 2., p. 25-30.
Thèse de doctorat
pdf (version avec quelques corrections et ajouts -- août 2007
$P$-units in ray class fields of real quadratic number fields
Thèse de doctorat soutenue en avril 2007 sous la direction d'Henri Darmon
Logiciel
This program computes conjectural p-units in ray class fields of real quadratic fields as described in the paper:
"Computations of p-units in ray class fields of real quadratic number fields"
The program was written in Magma:
program_final2.txt
First step: In an empty folder copy the file "prog_final2.txt"
Second step: Read carefully the file "walkthrough.txt" in order to have some explanations:
walkthrough.txt
Here is a Log file that gives an example: log_file.txt
