Papers by Luis A. Medina

Submitted

17. p-regularity of the p-adic valuation of the Fibonacci sequence
    [With E. Rowland ]
    
    

Published/to appear

16. On multiple and infinite log-concavity
    [With A. Straub ] To appear in Annals of Combinatorics
    
    
15. Asymptotic behavior of the exponential sum of perturbations of symmetric polynomials
    [With F. Castro]
    To appear in Annals of Combinatorics
    
    
14. The integrals in Gradshteyn and Ryzhik. Part 23: Combination of logarithms and rational functions
    [With V. Moll ]
    Scientia, Series A: Math. Sciences 23, 1-18.
    
    
13. Exact Divisibility of Exponential Sums and Some Consequences
    [With F. Castro and R. Figueroa]
    Theory and Applications of Finite Fields, Contemporary Mathematics, 579, 2012, 55-66.
    
    
12. Iterated primitives of logarithmic powers
    [With V. Moll and E. Rowland ]
    International Journal of Number Theory, 7 (3), 2011, 623-634.
    
    
11. Linear Recurrences and Asymptotic Behavior of Exponential Sums of Symmetric Boolean Functions
    [With F. Castro]
    Elec. J. Combinatorics, 18(2) (2011), #P8.
    
    
10. Exact Divisibility of Exponential Sums over the Binary Field via the Covering Method
    [With F. Castro and I. Rubio ]
    Groups, Algebras and Applications, Contemporary Mathematics, 537, 2011, 129-136.
    
    
9. The p-adic valuation of Stirling numbers
   [With A. Berrizbeitia, A. Moll, V. Moll, and L. Noble]
   Journal for Algebra and Number Theory Academia, 1, 2010, 1-30.
   
   Note: Ana Berrizbeitia, Alexander Moll and Laine Noble were undergraduate students at the time this research was done.
   
   
8. An Experimental Mathematics Perspective on the Old, and still Open, Question of When To Stop?
   [With D. Zeilberger]
   Gems in Experimental Mathematics, Contemporary Mathematics, 517, 2010, 265-274.
   
   
7. A fast numerical algorithm for the integration of rational functions.
   [With D. Manna, V. Moll and A. Straub]
   Numerische Mathematik , 115, 2010, 289-307.
   
   
6. A class of logarithmic integrals
   [With V. Moll]
   The Ramanujan Journal 20, 2009, 91-126.
   
   
5. Asymptotic valuations of sequences satisfying first order recurrences
   [With T. Amdeberhan and V. Moll]
   Proc. Amer. Math. Soc. 137, 2009, 885-890.
   
   
4. The integrals in Gradshteyn and Ryzhik. Part 11: The incomplete beta function
   [With K. N. Boyadzhiev and V. Moll]
   Scientia, Series A: Math. Sciences 18, 2009, 61-75.
   
   
3. The integrals in Gradshteyn and Ryzhik. Part 10: The digamma function
   [With V. Moll]
   Scientia, Series A: Math. Sciences 17, 2009, 45-66.
   
   
2. Arithmetical properties of a sequence arising from an arctangent sum
   [With T. Amdeberhan and V. Moll]
   Journal of Number Theory 128, 2008, 1808-1847.
   
   
1. The integrals in Gradshteyn and Ryzhik. Part 5: Some trigonometric integrals
   [With T. Amdeberhan and V. Moll ]
   Scientia, Series A: Math. Sciences 15, 2007, 47-60.

Papers in arXiv

• Papers in arXiv.org