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Publications of Marc Prévost

Articles in journal, book chapters

1. Marc Prévost and Tanguy Rivoal. Applications of Padé approximation to Euler's constant and Stirling's formula. Ramanujan J., 51(xxx):xx-xx, 2020. [bibtex-entry]



2. Marc Prévost. Remainder Padé approximants for the Hurwitz zeta function. Results Math., 74(1):Art. 51, 22, 2019. [bibtex-entry]



3. Carsten Elsner and Marc Prévost. Expansion of Euler's constant in terms of zeta numbers. J. Math. Anal. Appl., 398(2):508-526, 2013. [bibtex-entry]



4. Marc Prévost. Series involving zeta and related functions. Appl. Math. Comput., 217(12):5307-5317, 2011. [bibtex-entry]



5. Marc Prévost. Padé approximation and Apostol-Bernoulli and Apostol-Euler polynomials. J. Comput. Appl. Math., 233(11):3005-3017, 2010. [bibtex-entry]



6. Marc Prévost. Recurrence for values of the zeta function. Appl. Numer. Math., 60(12):1382-1394, 2010. [bibtex-entry]



7. Marc Prévost. Legendre modified moments for Euler's constant. J. Comput. Appl. Math., 219(2):484-492, 2008. [bibtex-entry]



8. Marc Prévost, Michela Redivo-Zaglia, and Franck Wielonsky. International conference on approximation and iterative methods. J. Comput. Appl. Math., 219(2):327-328, 2008. Note: Held in Lille, June 2006. [bibtex-entry]



9. Marc Prévost and Tanguy Rivoal. Remainder Padé approximants for the exponential function. Constr. Approx., 25(1):109-123, 2007. [bibtex-entry]



10. Tapani Matala-Aho and Marc Prévost. Quantitative irrationality for sums of reciprocals of Fibonacci and Lucas numbers. Ramanujan J., 11(2):249-261, 2006. [bibtex-entry]



11. M. Prévost and V. N. Sorokin. Hermite-Padé approximations and Apéry's theorem. Vestnik Moskov. Univ. Ser. I Mat. Mekh., (4):6-10, 70, 2005. [bibtex-entry]



12. M. Kzaz and M. Prévost. Convergence acceleration of Gauss-Chebyshev quadrature formulae. Numer. Algorithms, 34(2-4):379-391, 2003. Note: International Conference on Numerical Algorithms, Vol. II (Marrakesh, 2001). [bibtex-entry]



13. Marc Prévost and Denis Vekemans. Approximation and prediction of the numerical solution of some Burgers problems. Numer. Algorithms, 33(1-4):421-431, 2003. Note: International Conference on Numerical Algorithms, Vol. I (Marrakesh, 2001). [bibtex-entry]



14. Tapani Matala-aho and Marc Prévost. Irrationality measures for the series of reciprocals from recurrence sequences. J. Number Theory, 96(2):275-292, 2002. [bibtex-entry]



15. M. Prévost. Diophantine approximations using Padé approximations. J. Comput. Appl. Math., 122(1-2):231-250, 2000. Note: Numerical analysis 2000, Vol. II: Interpolation and extrapolation. [bibtex-entry]



16. P. Mortreux and M. Prévost. On totally monotonic families of sequences. Numer. Math., 84(1):71-96, 1999. [bibtex-entry]



17. M. Prévost and D. Vekemans. Partial Padé prediction. Numer. Algorithms, 20(1):23-50, 1999. [bibtex-entry]



18. M. Prevost. On the irrationality of $\sum t^n/(A\alpha^n+B\beta^n)$. J. Number Theory, 73(2):139-161, 1998. [bibtex-entry]



19. P. Mortreux and M. Prévost. An acceleration property of the $E$-algorithm for alternate sequences. Adv. Comput. Math., 5(4):443-482, 1996. [bibtex-entry]



20. M. Prévost. A new proof of the irrationality of $\zeta(2)$ and $\zeta(3)$ using Padé approximants. J. Comput. Appl. Math., 67(2):219-235, 1996. [bibtex-entry]



21. M. Prévost. Rate of convergence of Padé approximants for a particular Wynn series. Appl. Numer. Math., 17(4):461-469, 1995. [bibtex-entry]



22. Marc Prévost. Acceleration of some logarithmic sequences. J. Comput. Appl. Math., 55(3):357-367, 1994. [bibtex-entry]



23. Marc Prévost. Acceleration property for the $E$-algorithm and an application to the summation of series. Adv. Comput. Math., 2(3):319-341, 1994. [bibtex-entry]



24. Ana C. Matos and Marc Prévost. Acceleration property for the columns of the $E$-algorithm. Numer. Algorithms, 2(3-4):393-408, 1992. [bibtex-entry]



25. Marc Prévost. Dirac masses determination with orthogonal polynomials and $\epsilon$-algorithm. Application to totally monotonic sequences. J. Approx. Theory, 71(2):175-192, 1992. [bibtex-entry]



26. Marc Prévost. Dirac masses detection in a density on $[-1,1]$ from its moments. Applications to singularities of a function. In Orthogonal polynomials and their applications (Erice, 1990), volume 9 of IMACS Ann. Comput. Appl. Math., pages 365-372. Baltzer, Basel, 1991. [bibtex-entry]



27. Marc Prévost. Approximation of weight function and approached Padé approximants. J. Comput. Appl. Math., 32(1-2):237-252, 1990. Note: Extrapolation and rational approximation (Luminy, 1989). [bibtex-entry]



28. Marc Prévost. Determinantal expression for partial Padé approximants. Appl. Numer. Math., 6(3):221-224, 1990. [bibtex-entry]



29. Marc Prévost. Stieltjes- and Geronimus-type polynomials. J. Comput. Appl. Math., 21(2):133-144, 1988. [bibtex-entry]



30. Marc Prévost. Calculation of poles of meromorphic functions with q-d, r-s and $\epsilon$-algorithms. Acceleration of these processes. J. Comput. Appl. Math., 19(1):89-98, 1987. [bibtex-entry]



31. Marc Prévost. Padé-type approximants with orthogonal generating polynomials. J. Comput. Appl. Math., 9(4):333-346, 1983. [bibtex-entry]

Internal reports

1. M. Prévost and T. Rivoal. Euler's constant, Padé approximants and Bernouilli numbers. Technical report 602, LMPA, February 2019. [bibtex-entry]



2. M. Prévost and T. Rivoal. Remainder Padé approximants for hypergeometric series. Technical report 601, LMPA, February 2019. [bibtex-entry]



3. M. Prévost. Recurrence for values of the zeta function. Technical report 424, LMPA, April 2010. [Abstract] [bibtex-entry]



4. M. Prévost. Series associated with the zeta and related functions. Technical report 425, LMPA, April 2010. [Abstract] [bibtex-entry]



5. M. Prévost. Expansion of Euler's Constant in Terms of Zeta Numbers. Technical report 388, LMPA, January 2009. [Abstract] [bibtex-entry]



6. M. Prévost. Padé Approximation and Apostol-Bernoulli and -Euler Polynomials. Technical report 398, LMPA, June 2009. [Abstract] [bibtex-entry]



7. M. Prévost. Short and Lacunary Linear Recurrence Relations for Bernoulli Numbers. Technical report 397, LMPA, June 2009. [bibtex-entry]



8. M. Prévost. Legendre modified moments for Euler's constant. Technical report 334, LMPA, June 2007. [Abstract] [bibtex-entry]



9. M. Prévost and V. N. Sorokin. Hermite-Padé Approximants and Apery Theorem. Technical report 326, LMPA, May 2007. [Abstract] [bibtex-entry]



10. M. Prévost. A Family of Criteria for Irrationality of Euler's Constant. Technical report 253, LMPA, September 2005. [bibtex-entry]



11. M. Prévost and T. Rivoal. Remainder Padé Approximants for the Exponential Function. Technical report 238, LMPA, March 2005. [Abstract] [bibtex-entry]



12. M. Kzaz and M. Prévost. Convergence acceleration of Gauss-Chebyshev quadrature formulae. Technical report 178, LMPA, January 2003. [bibtex-entry]



13. T. Matala-aho and M. Prévost. Quantitative irrationality for series containing arithmetical forms. Technical report 174, LMPA, September 2002. [bibtex-entry]



14. M. Prévost and D. Vekemans. Approximation and prediction of the numerical solution of some Burgers problems. Technical report 150, LMPA, January 2001. [bibtex-entry]



15. T. Matala-Aho and M. Prévost. Irrationality measures for the series of reciprocals from recurrence sequences. Technical report 139, LMPA, October 2000. [bibtex-entry]



16. M. Prévost. Diophantine approximations using Padé approximations. Technical report 115, LMPA, November 1999. [bibtex-entry]

Miscellaneous

1. M. PrÉvost and T. Rivoal. Diagonal convergence of the Remainder Padé approximants for the Hurwitz zeta function. Note: Working paper or preprint, March 2020. [bibtex-entry]