L.M.P.A
Laboratoire de Mathématiques Pures et Appliquées
Joseph Liouville

## Marc Prévost

• Equipe : Approximation
LMPA
Centre Universitaire de la Mi-Voix
50 rue F. Buisson
CS80699
62228 Calais
• Bureau : B002
• Email : Marc.Prevost@univ-littoral.fr
• Téléphone : +33 3 21 46 55 89

## Publications

### Articles de revues

1. Remainder Pade approximants for Hurwitz zeta function (), In Res. in Math., . [pdf]
2. Expansion of Euler's constant in terms of zeta numbers ( and ), In J. Math. Anal. Appl., volume 398, 508-526, . [pdf]
3. Series involving zeta and related functions (), In Appl. Math. Comput., volume 217, 5307-5317, . [pdf]
4. Recurrence for values of the zeta function (), In Appl. Numer. Math., volume 60, 1382-1394, . [pdf]
5. Padé approximation and Apostol-Bernoulli and Apostol-Euler polynomials (), In J. Comput. Appl. Math., volume 233, 3005-3017, . [pdf]
6. Legendre modified moments for Euler's constant (), In J. Comput. Appl. Math., volume 219, 484-492, . [pdf]
7. International conference on approximation and iterative methods (, and ), In J. Comput. Appl. Math., volume 219, 327-328, . [pdf]
8. Remainder Padé approximants for the exponential function ( and ), In Constr. Approx., volume 25, 109-123, . [pdf]
9. Quantitative irrationality for sums of reciprocals of Fibonacci and Lucas numbers ( and ), In Ramanujan J., volume 11, 249-261, . [pdf]
10. Hermite-Padé approximations and Apéry's theorem ( and ), In Vestnik Moskov. Univ. Ser. I Mat. Mekh., 6-10, .
11. Convergence acceleration of Gauss-Chebyshev quadrature formulae ( and ), In Numer. Algorithms, volume 34, 379-391, . [pdf]
12. Approximation and prediction of the numerical solution of some Burgers problems ( and ), In Numer. Algorithms, volume 33, 421-431, . [pdf]
13. Irrationality measures for the series of reciprocals from recurrence sequences ( and ), In J. Number Theory, volume 96, 275-292, . [pdf]
14. Diophantine approximations using Padé approximations (), In J. Comput. Appl. Math., volume 122, 231-250, . [pdf]
15. On totally monotonic families of sequences ( and ), In Numer. Math., volume 84, 71-96, . [pdf]
16. Partial Padé prediction ( and ), In Numer. Algorithms, volume 20, 23-50, . [pdf]
17. An acceleration property of the $E$-algorithm for alternate sequences ( and ), In Adv. Comput. Math., volume 5, 443-482, . [pdf]
18. A new proof of the irrationality of $\zeta(2)$ and $\zeta(3)$ using Padé approximants (), In J. Comput. Appl. Math., volume 67, 219-235, . [pdf]
19. Rate of convergence of Padé approximants for a particular Wynn series (), In Appl. Numer. Math., volume 17, 461-469, . [pdf]
20. Acceleration of some logarithmic sequences (), In J. Comput. Appl. Math., volume 55, 357-367, . [pdf]
21. Acceleration property for the $E$-algorithm and an application to the summation of series (), In Adv. Comput. Math., volume 2, 319-341, . [pdf]
22. Dirac masses determination with orthogonal polynomials and $\epsilon$-algorithm. Application to totally monotonic sequences (), In J. Approx. Theory, volume 71, 175-192, . [pdf]
23. Acceleration property for the columns of the $E$-algorithm ( and ), In Numer. Algorithms, volume 2, 393-408, . [pdf]
24. Approximation of weight function and approached Padé approximants (), In J. Comput. Appl. Math., volume 32, 237-252, . [pdf]
25. Determinantal expression for partial Padé approximants (), In Appl. Numer. Math., volume 6, 221-224, . [pdf]
26. Stieltjes- and Geronimus-type polynomials (), In J. Comput. Appl. Math., volume 21, 133-144, . [pdf]
27. Calculation of poles of meromorphic functions with q-d, r-s and $\epsilon$-algorithms. Acceleration of these processes (), In J. Comput. Appl. Math., volume 19, 89-98, . [pdf]
28. Padé-type approximants with orthogonal generating polynomials (), In J. Comput. Appl. Math., volume 9, 333-346, . [pdf]

### Chapitres de livres

1. Dirac masses detection in a density on $[-1,1]$ from its moments. Applications to singularities of a function (), Chapter in Orthogonal polynomials and their applications (Erice, 1990), Baltzer, volume 9, 365-372, .

### Rapports

1. Euler's constant, Padé approximants and Bernouilli numbers ( and ), Technical report, LMPA, .
2. Remainder Padé approximants for hypergeometric series ( and ), Technical report, LMPA, .
3. Series associated with the zeta and related functions (), Technical report, LMPA, .
4. Recurrence for values of the zeta function (), Technical report, LMPA, . [pdf]
5. Padé Approximation and Apostol-Bernoulli and -Euler Polynomials (), Technical report, LMPA, . [pdf]
6. Short and Lacunary Linear Recurrence Relations for Bernoulli Numbers (), Technical report, LMPA, .
7. Expansion of Euler's Constant in Terms of Zeta Numbers (), Technical report, LMPA, . [pdf]
8. Legendre modified moments for Euler's constant (), Technical report, LMPA, . [pdf]
9. Hermite-Padé Approximants and Apery Theorem ( and ), Technical report, LMPA, . [pdf]
10. A Family of Criteria for Irrationality of Euler's Constant (), Technical report, LMPA, .
11. Remainder Padé Approximants for the Exponential Function ( and ), Technical report, LMPA, . [pdf]
12. Convergence acceleration of Gauss-Chebyshev quadrature formulae ( and ), Technical report, LMPA, .
13. Quantitative irrationality for series containing arithmetical forms ( and ), Technical report, LMPA, .
14. Approximation and prediction of the numerical solution of some Burgers problems ( and ), Technical report, LMPA, .
15. Irrationality measures for the series of reciprocals from recurrence sequences ( and ), Technical report, LMPA, .
16. Diophantine approximations using Padé approximations (), Technical report, LMPA, .

avril 2019 :