Articles :
- Boualem Sadaoui, Djamel Berkane and Pierre Dusart : Recursion formula at non positive integers of the generalized multiple Hurwitz zeta function
(submitted)
[bib] [PDF]
- Pierre Dusart : On the Divergence of the Sum of Prime Reciprocals.
WSEAS Transactions on Mathematics 22 (2023)
[bib] [PDF]
- Safia Aoudjit, Djamel Berkane and Pierre Dusart : On Robin's criterion for the Riemann hypothesis.
Notes on Number Theory and Discrete Mathematics Volume 27, 2021, Number 4, Pages 15—24
[bib]
[PDF]
- Safia Aoudjit, Djamel Berkane and Pierre Dusart : Explicit
Estimates Involving the Primorial Integers and Applications.
Journal of Integer Sequences, Vol. 24 (2021), Article 21.7.8
[bib] [PDF]
- Pierre Dusart : Estimates
of the kth prime under the Riemann hypothesis.
The Ramanujan Journal (2018), DOI 10.1007/s11139-017-9984-4
[bib] [PDF]
- Pierre Dusart : Explicit
estimates
of some functions over primes. The Ramanujan
Journal (2016), DOI 10.1007/s11139-016-9839-4
[bib] [PDF]
[Correctif]
- Pierre Dusart : Estimates
of ψ,θ for large values of
x without the Riemann hypothesis. Math. Comput. 85(298)
(2016)
[bib] [PDF]
- Pierre-François Bonnefoi, Pierre Dusart, Damien Sauveron, Raja
Naeem Akram, Konstantinos Markantonakis : A
Set of
Efficient Privacy Protection Enforcing Lightweight Authentication
Protocols for Low-Cost RFID Tags. TrustCom/BigDataSE/ISPA (1)
2015: 612-620
[bib] [PDF]
- Djamel Berkane, Pierre Dusart : On
a Constant Related to the Prime
Counting Function, Mediterranean Journal of Mathematics – 2016.
[bib] [PDF]
- Pierre Dusart, Abdelkader Necer, Sinaly Traoré : A
new approach to combine LFSRs:
α -Generators, Information for Journal of Algebra, Number
Theory: Advances and Applications – 2013.
[bib] [PDF]
- Pierre Dusart, Sinaly Traoré : Lightweight
Authentication Protocol
for Low-Cost RFID Tags, WISTP 2013, pages 129-144
[bib] [PDF]
- Pierre-Louis
Cayrel, Pierre
Dusart : McEliece/Niederreiter
PKC : sensitivity to fault injection
International Workshop on Future Engineering, Applications and Services
FEAS 2010, IEEE CFP1081J-CDR, ISBN 13 : 978-1-4244-6949-9
[bib] [PDF]
- Pierre-Louis Cayrel, Pierre Dusart : Fault
injection’s
sensitivity of the
McEliece PKC
Western European Workshop on Research in Cryptology WEWoRC
2009, pages 84-88.
[bib] [PDF]
- Dusart Pierre, Sauveron
Damien, Tai-Hoon Kim : Some
limits of Common
Criteria
certification, International Journal of Security and Its
Applications
Vol. 2, No. 4, October 2008,
[bib] [PDF]
- P. Dusart et D. Sauveron :
Which trust can be expected
of the Common Criteria certification at end-user level?
First International Workshop on Information Assurance in Networks (IAN
2007). 6-7 décembre 2007, Jeju Island, Korea.
[bib] [PDF]
- P. Dusart et D. Sauveron. La
guerre du développement
numérique. Menaces sur la confidentialité des photos numériques.
3ième Symposium sur la Sécurité des Technologies de l'Information et
des Communications. 1 – 3 juin 2005, Rennes, France.
[bib] [PDF]
- Deléglise,
Marc; Dusart,
Pierre; Roblot,
Xavier-François: Counting
primes
in residue classes. Math.
Comp. 73
(2004),
no.
247, 1565--1575 (electronic). 11N69
(11Y35) MR2047102 (2005a:11152)
[bib] [PDF]
- Pierre Dusart, Gilles Letourneux, Olivier Vivolo: Differential
Fault Analysis on A.E.S.,
ACNS 2003, pages 293-306
[bib] [PDF]
- Dusart,
Pierre Estimates
of
$\theta(x;k,l)$
for large values of $x$. Math.
Comp. 71
(2002),
no.
239, 1137--1168 (electronic). 11N13
(11N56 11Y35) MR1898748 (2003f:11139)
[bib] [PDF]
- Dusart,
Pierre Sur
la conjecture π(x+y)≤π(x)+π(y).
(French) Acta
Arith. 295--308. 102
(2002),
no.
4,11N05 MR1889398 (2002k:11152)
doi:10.4064/aa102-4-1
[bib] [PDF
restreint]
- Dusart,
Pierre Inégalités
explicites
pour $\psi(X)$, $\theta(X)$, $\pi(X)$ et les nombres
premiers. (French) [Explicit inequalities for
$\psi(X)$,
$\theta(X)$, $\pi(X)$ and the primes] C.
R. Math. Acad. Sci. Soc. R. Can. 21
(1999),
no.
2, 53--59. 11N37
(11M26 11N56) MR1697455 (2000f:11125)
[bib] [PDF]
- Dusart,
Pierre The
$k$th prime is
greater than $k(\ln k+\ln\ln k-1)$ for $k\geq2$. Math.
Comp. 68
(1999),
no.
225, 411--415. 11Y35
(11N05) MR1620223 (99d:11133)
[bib] [PDF]
Vulgarisation :
Conférences :
WIF
2008 : Conférence "Sécuriser des sites WEB" avec D.
Sauveron.
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