Articles :
- Boualem Sadaoui, Djamel Berkane and Pierre Dusart : Explicit
estimates of the number of distinct prime divisors of binomial
coefficients
Ukrains’kyi Matematychnyi Zhurnal, Vol 76 No 8 (2024), pp 1111 - 1119.
[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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