Publications and Preprints

Preprints:

⏺ Lattice zeta functions (2024) pdf

⏺ Lattices and orders in number fields (2024) pdf


Published Papers (in peer-reviewed journals):

⏺ Annihilators of the ideal class group of a cyclic extension of an imaginary quadratic field (with R. Kučera) 25 p. pdf
   Canad. J. Math.71(2019), no.6, 1395–1419.

⏺ Relationships between p-unit constructions for real quadratic fields 70 p. pdf
   Ann. Sci. Math. Québec 34 (2010), no. 2, 119–185.

⏺ Some arithmetic properties of partial zeta functions weighted by a sign character 14 p. pdf
   J. Number Theory 130 (2010), no. 3, 803–814.

⏺ Computation of p -units in ray class fields of real quadratic number fields 34 p. pdf
   Math. Comp. 78 (2009), no. 268, 2307–2345.

⏺ P-units in ray class fields of real quadratic number fields 28 p. pdf
   Compos. Math. 145 (2009), no. 2, 364–392.

⏺ Non-abelian descent and the generalized Fermat equation 18 p. pdf
   Arithmetic geometry, Clay Math. Proc. 8, AMS, 2009, 55–69.

⏺ Functional equation for partial zeta functions twisted by additive characters 17 p. pdf     Erratum pdf
   Acta Arith. 136 (2009), no. 3, 213–228.



Additional Articles and Documents:

⏺ GL2 -real analytic Eisenstein series twisted by parameter matrices and multiplicative integral quasi-characters 148 p. (2016) arxiv link
Remark: This initial monograph has evolved during those years into a book project which has grown a bit out of proportion and will take probably a few more years to fully complete. Meanwhile, we plan to minimally update this monograph in the near future and publish a version that remains close to the original one, serving as an official provisional reference until the book is released in print.

⏺ John Tate, le grand explorateur de la théorie algébrique des nombres, 6 p. pdf
   Bulletin AMQ, Mai 2010, Volume 50, No. 2

⏺ Elliptic units in ray class fields of real quadratic number fields 226 p. (Phd Thesis, 2007)   pdf
(the official thesis was submitted in April 2007 and this file a slighly updated version of it with a few corrections and supplements which is dated from August 2007)