Publications and Research Works
Articles in international journals
 Sur les fonctions entières
à double pas récurrent, joint work with Laurent Habsieger,
Annales de l'Institut Fourier, 492, 1999, 653671.
 Irrationality Measures of and
, Experimental Mathematics, 101,
2001, 3552.
 Accelerating Correctly Rounded
FloatingPoint Division when the Divisor is
Known in Advance, joint work with JeanMichel Muller and
Saurabh Kumar Raina, IEEE Transactions on
Computers, Vol. 53, n. 8, 2004, 10691072.

A New Range Reduction Algorithm, joint work with
David Defour,
Peter Kornerup,
JeanMichel
Muller and Nathalie Revol,
IEEE Transactions on Computers,
Vol. 54, n. 3, 2005, 331339.
 Effective Lower and Upper Bounds for the Fourier
Coefficients of Powers of the Modular Invariant j,
joint work with Georges Philibert, Journal of the
Ramanujan Mathematical Society, Vol. 20., n. 4, Dec. 2005,
255282.

Computing MachineEfficient Polynomial Approximations, joint work with JeanMichel Muller and
Arnaud
Tisserand,
ACM Transactions on
Mathematical Software, Vol. 32, n. 2, Jun. 2006, 236256.
 Hardware Operators for Function
Evaluation Using SparseCoefficient Polynomials,
joint work with JeanMichel
Muller,
Arnaud
Tisserand and Serge Torres,
Electronic Letters, Vol. 42, Issue 25, Dec. 2006, 14411442.

Correct Rounding of Algebraic
Functions, joint work with JeanMichel
Muller, RAIRO
Theoretical Informatics and Applications,
Vol. 41, pages 7183, janmarch
2007.

Correctly Rounded Multiplication by Arbitrary Precision
Constants,
joint work with JeanMichel
Muller,
IEEE Transactions on
Computers,
Vol. 57, n. 2, 2008, 165174.
 Algorithms and Arithmetic Operators
for Computing the η_{T}
Pairing in Characteristic Three,
joint work with
JeanLuc
Beuchat,
Jérémie
Detrey, Eiji
Okamoto,
Masaaki Shirase and
Tsuyoshi Takagi,
IEEE Transactions on
Computers,
Vol. 57, n. 11, 2008, 14541468. There is an appendix to the article.

(M,p,k)Friendly Points: a
TableBased Method to Evaluate Trigonometric
Functions, joint work with
Dong Wang,
JeanMichel Muller
and
Miloš
Ercegovac, IEEE Transactions on Circuits and Systems II: express briefs, Volume 31, No 9, pp 711715, September 2014.
 Comparison between binary and decimal floatingpoint numbers, joint work with Christoph Lauter, Marc Mezzarobba and JeanMichel Muller, IEEE Transactions on Computers, Volume 65, No 7, pp 20322044, July 2016.
 On a twovalued sequence and related continued fractions in power series fields, joint work with Bill Allombert and Alain Lasjaunias, The Ramanujan Journal, to appear.
 Exponential sums and correctlyrounded functions, joint work with Guillaume Hanrot and Olivier Robert, IEEE Transactions on Computers, to appear.
Articles in proceedings of international conferences

Sparsecoefficient Polynomial
Approximations for Hardware Implementations, joint work with
JeanMichel Muller and
Arnaud
Tisserand, Proc.
38th Conference on Signals, Systems and Computers,
Pacific Grove, California, U.S.A., pages 532535, Nov. 2004.

Functions Approximable by
Efractions, joint work with JeanMichel
Muller, Proc.
38th Conference on signals, systems and computers,
Pacific Grove, California, U.S.A., pages 13411344, Nov. 2004.
 Correctly Rounded Multiplication by Arbitrary Precision Constants, joint work with JeanMichel
Muller, 17th IEEE Symposium on Computer Arithmetic (ARITH17),
Cape Cod (MA, USA), pages 1320, June 2005.
 Efficient Polynomial
L^{∞}Approximations, joint work with Sylvain
Chevillard,
18th IEEE Symposium on Computer Arithmetic
(ARITH18), Montpellier (France), pages 169176, June 2007. Download it from
http://hal.inria.fr/inria00119513.
 FloatingPoint L^{2}Approximations,
joint work with
Guillaume
Hanrot, 18th IEEE
Symposium on Computer Arithmetic (ARITH18), Montpellier (France),
pages 177184, June 2007. Download it from
http://hal.inria.fr/inria00119254.

A Coprocessor for the Final Exponentiation of the
η_{T}
Pairing in Characteristic Three,
joint work with
JeanLuc Beuchat,
Eiji Okamoto,
Masaaki Shirase,
Tsuyoshi Takagi.
In C. Carlet and B. Sunar, editors, Proceedings of
Waifi 2007,
number 4547 of Lecture Notes in Computer Science, pages 2539, 2007. Springer.
Cryptology ePrint Archive, Report 2007/045, 2007.
 Arithmetic Operators for PairingBased Cryptography,
joint work with
JeanLuc Beuchat,
Jérémie
Detrey and Eiji
Okamoto.
In P. Paillier and I. Verbauwhede, editors, Proceedings of
CHES 2007, number 4727 of Lecture Notes in Computer Science,
pages 239255, 2007. Springer.
Cryptology ePrint Archive, Report 2007/091, 2007.
 Integer and FloatingPoint Constant
Multipliers for FPGAs, joint work with
Florent de
Dinechin and
JeanMichel
Muller,
19th IEEE Conference on ApplicationSpecific Systems, Architectures
and Processors (ASAP'2008), Leuven (Belgium), pages 239244, July 2008.
 An Efficient Method for
Evaluating Polynomial and Rational Function
Approximations,
joint work with
Sylvain
Chevillard,
Miloš Ercegovac,
JeanMichel
Muller and
Serge Torres,
19th IEEE Conference on ApplicationSpecific Systems, Architectures
and Processors (ASAP'2008), Leuven (Belgium), pages 245250, July 2008.
 A Comparison between Hardware Accelerators for the Modified Tate
Pairing over F_{2m} and F_{3m},
joint work with
JeanLuc
Beuchat,
Jérémie
Detrey, Eiji
Okamoto
and
Francisco RodríguezHenríquez,
Second International Conference on Pairingbased Cryptography
(Pairing'08), Lecture Notes in Computer Science n. 5209. Egham,
United Kingdom, September 2008, 297315. SpringerVerlag.
Cryptology ePrint Archive, Report 2008/115, 2007. A slightly older but more
complete version is available here.
 Implementing Decimal
FloatingPoint Arithmetic through Binary: some Suggestions (poster presentation),
joint work with
Miloš Ercegovac,
Nicolas Louvet,
Érik MartinDorel,
JeanMichel Muller
and
Adrien Panhaleux,
Proc. 21st IEEE International Conference on Applicationspecific
Systems, Architectures and Processors (ASAP'2010), pages 317320,
Rennes, France, July 79, 2010.
 Chebyshev interpolation
polynomialbased tools for rigorous computing,
joint work with Mioara
Joldeş, Proceedings of the 35th
International Symposium on Symbolic and Algebraic Computation
(ISSAC 2010), pages 147154,
Munich (Germany), July 2010.
http://prunel.ccsd.cnrs.fr/ensl00472509/fr/.
 Augmented precision square roots, 2D
norms, and discussion on correctly rounding \sqrt{x^2 + y^2}, joint work
with Mioara
Joldeş,
Peter Kornerup, Érik MartinDorel
and
JeanMichel
Muller, 20th IEEE Symposium on Computer Arithmetic
(ARITH20), pages 2023, Tübingen (Germany).
 Rigorous Polynomial Approximation using Taylor Models in Coq, joint work with
Mioara Joldeş,
Érik
MartinDorel, Micaela
Mayero, JeanMichel
Muller,
Ioana Paşca,
Laurence Rideau and Laurent Théry, 4th NASA Formal Methods Symposium (NFM 2012), Norfolk (VA, USA), April 2012.
 (M,p,k)friendly points: a tablebased method for trigonometric function evaluation, joint work with
Miloš Ercegovac
and JeanMichel
Muller, 23rd IEEE Conference on ApplicationSpecific Systems,
Architectures and Processors (ASAP'2012), Delft (The Netherlands),
July 2012.
 Comparison between binary64 and decimal64 floatingpoint numbers, joint work with Christoph Lauter, Marc Mezzarobba and JeanMichel Muller, proceedings of the 21st IEEE Symposium on Computer Arithmetic (ARITH21). April 2013.
Articles under submission, reseach reports, work in progress
Others
 The Pasrec
package. Pasrec is a Maple package whose aim
is the solving of some difference equations systems.

Une étude de deux problèmes
diophantiens, PhD (thèse
de doctorat) in Pure Mathematics, defended on September
25th, 1998, at Université Bordeaux I.
 Writing of the Leçon de Mathématiques d'Aujourd'hui
``Fonctions modulaires et
transcendance''
given by Michel
Waldschmidt
on November 30th, 1996, at Bordeaux.
Éditions Cassini, Leçons de
mathématiques
d'aujourd'hui, volume 2, Le Sel et le Fer,
numéro 12 (2003), leçon 5, 167196.
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