Experimental Math, Number Theory, Special Functions.
Selected Publications
(jointly with D. Manna, V. H. Moll and A. Straub) A fast numerical algorithm for the integration of rational functions. To appear in Numerische Mathematik.
(jointly with V. H. Moll) A class of logarithmic integrals. The Ramanujan Journal20, 2009, 91-126.
(jointly with K. N. Boyadzhiev and V. H. Moll). The integrals in Gradshteyn and Ryzhik. Part 11: The incomplete beta function. Scientia, Series A: Math. Sciences18, 2009, 61-75.
(jointly with T. Amdeberhan and V. H. Moll) Asymptotic valuations of sequences satisfying first order recurrences. Proc. Amer. Math. Soc. 137, 2009, 885-890.
(jointly with T. Amdeberhan and V. H. Moll) Arithmetical properties of a sequence arising from an arctangent sum. Journal of Number Theory128, 2008, 1808-1847.
Selected Grants and Awards
Scholarship fund for excellence in Computer Science and Mathematics NSF DUE-1356474 (Co-PI), 2014 - 2019. Amount: $630,217.00
Computerized Pure Mathematics: Exponential Sums of Symmetric Boolean Functions
Fondo Institucional para la InvestigaciÃ³n (PI), 2014 - 2016: Amount: $36,130.00