An extremal problem, Trudy Moscov. Mat. Obsc, vol.18, pp.83-90, 1968. ,
Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves, pp.1-12, 2017. ,
The number of integral points on arcs and ovals, Duke Mathematical Journal, vol.59, issue.2, pp.337-357, 1926. ,
DOI : 10.1215/S0012-7094-89-05915-2
The average rank of elliptic curves I, Inventiones Mathematicae, vol.36, issue.1, pp.445-472, 1992. ,
DOI : 10.1007/BF01232033
Concentration of points on curves in finite fields, Monatshefte fur Mathematik, pp.315-327, 2013. ,
DOI : 10.1215/00127094-2079905
Isomorphism classes of elliptic curves over a finite field in some thin families, Mathematical Research Letters, vol.19, issue.2, pp.1-9, 2012. ,
DOI : 10.4310/MRL.2012.v19.n2.a6
An introduction to sieve methods and their applications, 2006. ,
DOI : 10.1017/CBO9780511615993
Effective estimates of exponential sums over primes Analytic number theory, 138 of Pro, pp.231-244, 1995. ,
Explicit upper bounds for exponential sums over primes, Mathematics of Computation, vol.70, issue.233, pp.431-447, 2000. ,
DOI : 10.1090/S0025-5718-00-01280-1
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.101.1824
Multiplicative Number Theory, 1980. ,
DOI : 10.1007/978-1-4757-5927-3
Sur une somme liee a la fonction de Mobius, J. Reine Angew. Math, vol.340, pp.53-58, 1983. ,
Opera de Cribro, 2010. ,
DOI : 10.1090/coll/057
A numerically explicit version of the Pólya?Vinogradov inequality, Moscow Journal of Combinatorics and Number Theory, vol.1, issue.3, pp.234-250, 2011. ,
A large sieve density estimate near ?=1, Inventiones Mathematicae, vol.4, issue.57, pp.329-339, 1970. ,
DOI : 10.1007/BF01403187
An asymptotic estimate related to Selberg's sieve, Journal of Number Theory, vol.10, issue.1, pp.83-94, 1978. ,
DOI : 10.1016/0022-314X(78)90010-0
URL : http://doi.org/10.1016/0022-314x(78)90010-0
-integer points on elliptic curves, Pacific Journal of Mathematics, vol.167, issue.2, pp.263-288, 1995. ,
DOI : 10.2140/pjm.1995.167.263
URL : https://hal.archives-ouvertes.fr/medihal-01150204
Explicit Bounds for the Solutions of Elliptic Equations with Rational Coefficients, Journal of Symbolic Computation, vol.25, issue.3, pp.361-366, 1998. ,
DOI : 10.1006/jsco.1997.0181
Prime numbers in short intervals and a generalized Vaughan identity. Canad, J. Math., XXXIV, issue.6, pp.1365-1377, 1982. ,
DOI : 10.4153/cjm-1982-095-9
The Density of Rational Points on Curves and Surfaces, The Annals of Mathematics, vol.155, issue.2, pp.553-595, 2002. ,
DOI : 10.2307/3062125
The ternary Goldbach problem ,
On the square-free sieve, Acta Arithmetica, vol.115, issue.4, pp.349-402, 2004. ,
DOI : 10.4064/aa115-4-3
URL : https://www.impan.pl/shop/publication/transaction/download/product/83119?download.pdf
Integral points on elliptic curves and 3-torsion in class groups, Journal of the American Mathematical Society, vol.19, issue.03, pp.527-550, 2006. ,
DOI : 10.1090/S0894-0347-06-00515-7
How small must ill-distributed sets be? Analytic number theory, pp.224-234, 2009. ,
The canonical height and integral points on elliptic curves, Inventiones Mathematicae, vol.147, issue.2, pp.419-450, 1988. ,
DOI : 10.1007/BFb0072989
On bounds for packings on a sphere and in soace, Problemy Peredachi Informacii, vol.14, issue.1, pp.3-25, 1978. ,
???ber Ideale und Primideale in Idealklassen, Mathematische Zeitschrift, vol.2, issue.1-2, pp.52-154, 1918. ,
DOI : 10.1007/BF01212899
Elliptic curves: Diophantine analysis, 1978. ,
DOI : 10.1007/978-3-662-07010-9
Primality testing with Gaussian periods. preprint, pp.1-47, 2016. ,
DOI : 10.1007/3-540-36206-1_1
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.94.1384
On a Conjecture of Artin and Tate, The Annals of Mathematics, vol.102, issue.3, pp.517-533, 1975. ,
DOI : 10.2307/1971042
Elliptic Curves, 2006. ,
The analytic principle of the large sieve, Bulletin of the American Mathematical Society, vol.84, issue.4, pp.547-567, 1978. ,
DOI : 10.1090/S0002-9904-1978-14497-8
Integral points on elliptic curves over function fields of positive characteristic, Bulletin of the Australian Mathematical Society, vol.86, issue.03, pp.353-357, 1998. ,
DOI : 10.1017/CBO9780511752490
On the Number of Primes in an Arithmetic Progression, Proc. London Math. Soc. S2-39, p.116, 1933. ,
DOI : 10.1112/plms/s2-39.1.116
The Bombieri?Vinogradov theorem. Expository, preprint available http, pp.1-33, 2016. ,
Remarks on the Polya-Vinogradov inequality. Integers, pp.531-542, 2010. ,
DOI : 10.1515/integ.2011.039
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.585.9726
Gonality of modular curves in characteristic~$p$, Mathematical Research Letters, vol.14, issue.4, pp.691-701, 2007. ,
DOI : 10.4310/MRL.2007.v14.n4.a14
Lower bound for the canonical height on elliptic curves, Duke Mathematical Journal, vol.48, issue.3, pp.633-648, 1981. ,
DOI : 10.1215/S0012-7094-81-04834-1
Lower bounds for height functions, Duke Mathematical Journal, vol.51, issue.2, pp.395-403, 1984. ,
DOI : 10.1215/S0012-7094-84-05118-4
Advanced topics in the arithmetic of elliptic curves, Graduate Texts in Mathematics, vol.151, 1994. ,
DOI : 10.1007/978-1-4612-0851-8
The number of lattice points on a convex curve, Journal of Number Theory, vol.6, issue.2, pp.128-135, 1971. ,
DOI : 10.1016/0022-314X(74)90051-1
On the conjectures of Birch and Swinnerton-Dyer and a geometric analog, Séminaire N. Bourbaki, vol.306, pp.415-440 ,
Introduction to analytic and probabilistic number theory, Graduate Studies in Mathematics, vol.163, 1995. ,
DOI : 10.1090/gsm/163
URL : https://hal.archives-ouvertes.fr/hal-01281339
The vinogradov-Bombieri theorem, Mathematical Notes of the Academy of Sciences of the USSR, vol.14, issue.No. 1(127), pp.801-809, 1985. ,
DOI : 10.1112/S0025579300007968
Elliptic curves over function fields Arithmetic of L-functions; 211- 280, 2011. ,
DOI : 10.1090/pcms/018/09
Mean Value Theorems in Prime Number Theory, Journal of the London Mathematical Society, vol.2, issue.2, pp.153-162, 1975. ,
DOI : 10.1112/jlms/s2-10.2.153
Sommes trigonométriques sur les nombres premiers, C.R. Acad. Sci. Paris, vol.285, issue.16, pp.981-983, 1977. ,
The method of triginometrical sums in the theory of numbers, 1954. ,
Explicit p-descent for elliptic curves in characteristic p, Compositio Math, vol.74, issue.3, pp.247-258, 1990. ,