Publications
- with Richard P. Brent and J. van de Lune, On the sign of the real part of the Riemann zeta-function, arXiv:1205.4423
- with Jérémy Toulisse The n-th prime asymptotically, arXiv:1203:5413.
- with Richard P. Brent and J. van de Lune, A note on the real part of the Riemann zeta-function, arXiv:1112.4910
- with J. van de Lune Some bounds and limits in the theory of Riemann's zeta function, arXiv:1107.5134.
- Asymptotics of Keiper-Li Coefficients, Funct. Approx. Comment. Math. 45, (2011) 7-21.
- with J. van de Lune A proof of a trigonometric Inequality. A glimpse inside the mathematical kitchen, J. Math. Inequalities 5, (2011) 341-353, arXiv:1004.0469.
- High precision computation of Riemann's zeta function by the Riemann-Siegel formula, I,
Mathematics of Computation 80, (2011) 995-1009.
- with J. van de Lune
Un Primer Encuentro con la Hipótesis de Riemann y su Comprobación Numérica.
Gaceta de la Real Sociedad Matemática Española. Vol. 13. Núm. 1. 2010. Pag. 109-133. EnglishVersion.
- with J. van de Lune
High Precision Computation of a Constant in the Theory of Trigonometric Series. Mathematics of Computation. Vol. 78. Núm. 268. 2009. Pag. 2187-2191.
- A Test for the Riemann Hypothesis. Funct. Approx. Comment. Math. Vol. 38. Num. 2. 2008. Pag. 47-58.
- with J. van de Lune
On Some Oscillating Sums. Uniform Distribution Theory. Vol. 3. Núm. 1. 2008. Pag. 35-72.
- Dynamical Zeta Functions and Kummer Congruences. Acta Arithmetica. Vol. 119. Núm. 1. 2005. Pag. 39-52.
- Riemann's Fragment on Limit Values of Elliptic Modular Functions. The Ramanujan Journal. Vol. 8. Num. 1. 2004. Pag. 57-123.
- X-ray of Riemann zeta-function, arXiv math.NT/0309433, 2003.
- Pointwise Convergence of Fourier Series. Journal of the London Mathematical Society. Vol. 65. 2002. Pag. 139-153.
- Complejidad de los Numeros Naturales. Gaceta de la Real Sociedad Matematica Española. Vol. 3. Núm. 2. 2000. Pag. 230-250. English version.
- with Keith Ball and R. Villa
Concentration of the Distance in Finite Dimensional Normed Spaces. Mathematika . Vol. 45. Núm. 90. 1998. Pag. 245-252.
- Gaussian Variables, Polynomials and Permanents. Linear Algebra and Its Applications. Vol. 285. Num. 1-3. 1998. Pag. 107-114.
- Finite Fields and Ramanujan Graphs. Journal of Combinatorial Theory. Series B. Vol. 70. Num. 2. 1997. Pag. 259-264.
- with T. Domínguez
On a Measure of Noncompactness in Banach-Spaces with Schauder Basis.
Bollettino Unione Matematica Italiana. Vol. 7A. Num. 1. 1993. Pag.
77-86.
- with L. Rodríguez Piazza
Finite Metric-Spaces Needing High Dimension for Lipschitz Embeddings in Banach-Spaces. Israel Journal of Mathematics. Vol. 79. Num.1. 1992. Pag. 103-111.
- with J. Diestel, V. Lomonosov, and L. Rodríguez Piazza
Some Observations About the Space of Weakly Continuous Functions From a Compact Space Into a Banach Space. Quaestiones Mathematicae. Vol. 15. 1992. Pag. 415-425.
- On R-Separated Sets in Normed Spaces. Proceedings of the American Mathematical Society. Vol. 112. 1991. Pag. 1087-1094.
- On the Theorem of Frullani. Proceedings of the American Mathematical Society. Vol. 109. 1990. Pag. 165-175.
- with A. Duran
Some Results About the Space A^\infty of Analytic Functions. Michigan Mathematical Journal . Vol. 37. 1990. Pag. 339-345.
- A generalized mean value Theorem. Monatshefte für Mathematik . Vol. 106. 1988. Pag. 95-97.
- Hausdorff Dimension of Banach Spaces. Proceedings of the Edinburgh Mathematical Society. Vol. 31. 1988. Pag. 217-229.
- Real Valued Homomorphisms on Algebras of Differentiable Functions. Proceedings of the American Mathematical Society. Vol. 104. 1988. Pag. 1054-1058.
- \ell_0^\infty no es totalmente tonelado. Revista de la Real Academia de Ciencias Exactas, F’sicas y Naturales. Vol. 89. 1985. Pag. 77-78.
- El Problema Onomástico para los Ordinales Numerables. Revista de la Real Academia de Ciencias Exactas, F’sicas y Naturales. Vol. 78. 1984. Pag. 201-203.
- A Connected Metric Space Without an Equally Spaced Chain of Points. Bulletin of the Australian Mathematical Society . Vol. 28. 1983. Pag. 283-285.
- Non Baire Measure Spaces. Collectanea Mathematica. Vol. 34. 1983. Pag. 109-114.
- Some Results Connected With a Problem of Erdos III. Proceedings of the American Mathematical Society. Vol. 89. 1983. Pag. 291-292.
- Definición y Estudio de una Función Indefinidamente Diferenciable de Soporte Compacto. Revista de la Real Academia de Ciencias Exactas, F’sicas y Naturales. Vol. 76. 1982. Pag. 21-38.
- Normed Barely Baire Spaces. Israel Journal of Mathematics . Vol. 42. 1982. Pag. 33-36.
- Dense Hyperplanes of First Category. Mathematische Annalen. Vol. 249. 1980. Pag. 111-114.
- Álgebras de Abel Cerradas. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Vol. 69. 1975. Pag. 99-119.
- Álgebras de Abel. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Vol. 68. 1974. Pag. 495-520.
- Integración en Álgebras de Abel. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Vol. 68. 1974. Pag. 521-545.
- Funciones Derivables en Cuaterniones. Gaceta de la Real Sociedad Matemática Española. Vol. 27. 1975. Pag. 3-5.