Leandro Junes

Publications

My published work includes research in number theory, combinatorics, algebra, discrete mathematics, and related areas, together with an extensive body of collaborative work with undergraduate students.

13Research Publications 45Publications with Students

Research Publications

  1. 2025 Counting Subwords in Non-Decreasing Dyck Paths R. Florez, L. Junes, L. M. Montoya, and J. L. Ramirez Journal of Integer Sequences, Vol. 28 (2025), Article 25.1.6 · Abstract
  2. 2021 Counting Asymmetric Weighted Pyramids in Non-Decreasing Dyck Paths R. Florez, L. Junes, and J. L. Ramirez Australasian Journal of Combinatorics, 79.1 (2021), 123–140 · PDF
  3. 2019 Enumerating Several Aspects of Non-Decreasing Dyck Paths R. Florez, L. Junes, and J. L. Ramirez Discrete Mathematics, 342.10 (2019), 3079–3097 · DOI
  4. 2018 Enumerations of Peaks and Valleys on Non-Decreasing Dyck Paths E. Czabarka, R. Florez, L. Junes, and J. L. Ramirez Discrete Mathematics, 341.10 (2018), 2789–2807 · DOI
  5. 2018 Further Results on Paths in an n-Dimensional Cubic Lattice R. Florez, L. Junes, and J. L. Ramirez Journal of Integer Sequences, Vol. 21 (2018), Article 18.1.2 · Abstract
  6. 2015 A Discrete Convolution on the Generalized Hosoya Triangle L. Junes, R. Flórez, and E. Czabarka Journal of Integer Sequences, Vol. 18 (2015), Article 15.1.6 · Abstract
  7. 2015 Some Enumerations on Non-Decreasing Dyck Paths L. Junes, R. Flórez, and E. Czabarka Electronic Journal of Combinatorics, Vol. 22, Issue 1 (2015) · DOI
  8. 2014 GCD Property of the Generalized Star of David in the Generalized Hosoya Triangle L. Junes, R. Flórez, and R. Higuita Journal of Integer Sequences, Vol. 17 (2014), Article 14.3.6 · Abstract
  9. 2014 9-Modularity and GCD Properties of Generalized Fibonacci Numbers L. Junes, R. Flórez, and R. Higuita Electronic Journal of Combinatorial Number Theory, Vol. 14 (2014), Article A55 · PDF
  10. 2012 Teaching Inverse Functions with Cryptography L. Junes Memoirs of the 12th International Congress on Mathematical Education, Seoul, South Korea, July 8–15, 2012
  11. 2012 GCD Properties in Hosoya's Triangle L. Junes and R. Flórez The Fibonacci Quarterly, 50.2 (2012), 163–174 · PDF
  12. 2011 A Relation Between Triangular Numbers and Prime Numbers L. Junes and R. Flórez Electronic Journal of Combinatorial Number Theory, Vol. 11 (2011), Article A50 · PDF
  13. 2010 A Duality Theorem in Oriented Matroids L. Junes Memoirs of the Fourth International Conference of Algebra, Number Theory, Combinatorics and Applications, Tunja, Colombia, May 2010

Publications with Students

These publications arose from undergraduate research collaborations involving students in the United States and Colombia.

  1. 2023 A Depressed Quartic Equation with Fibonacci Coefficients L. Junes and E. Antrim (PennWest Student) The Fibonacci Quarterly, 61.4, 370 · PDF
  2. 2023 This Time, It Is d'Ocagne's Turn L. Junes and K. Hartz (PennWest Student) The Fibonacci Quarterly, 61.3, 281 · PDF
  3. 2023 It's Catalan Again! L. Junes and K. Hartz (PennWest Student) The Fibonacci Quarterly, 61.3, 280 · PDF
  4. 2023 It's All About Catalan L. Junes and K. Hartz (PennWest Student) The Fibonacci Quarterly, 61.3, 277 · PDF
  5. 2021 An Unusual Sum of Products L. Junes and L. Paluso (PennWest Student) The Fibonacci Quarterly, 59.3, 279 · PDF
  6. 2021 Apply the Triangle Inequality L. Junes and L. Paluso (PennWest Student) The Fibonacci Quarterly, 59.3, 278 · PDF
  7. 2021 A Summation Formula for an Arithmetic Progression L. Junes and L. Paluso (PennWest Student) The Fibonacci Quarterly, 59.3, 277 · PDF
  8. 2021 A Binomial Sum of Cosine and Sine Functions L. Junes and L. Paluso (PennWest Student) The Fibonacci Quarterly, 59.3, 276 · PDF
  9. 2021 Three Atypical Solutions L. Junes and L. Paluso (PennWest Student) The Fibonacci Quarterly, 59.3, 275 · PDF
  10. 2021 The Fifth Oldie from the Vault L. Junes and L. Paluso (PennWest Student) The Fibonacci Quarterly, 59.3, 274 · PDF
  11. 2021 An Inequality in Two Variables L. Junes and L. Paluso (PennWest Student) The Fibonacci Quarterly, 59.2, 183 · PDF
  12. 2021 Prove It in Any Way You Like L. Junes and L. Paluso (PennWest Student) The Fibonacci Quarterly, 59.2, 180 · PDF
  13. 2021 The Zeta Riemann Function and the Cotangent Function L. Junes and L. Paluso (PennWest Student) The Fibonacci Quarterly, 59.2, 179 · PDF
  14. 2021 A Nested Radical of Ones L. Junes and L. Paluso (PennWest Student) The Fibonacci Quarterly, 59.2, 178 · PDF
  15. 2019 Generating Function of the Catalan Numbers L. Junes and L. G. Mcanany (CalU Student) The Fibonacci Quarterly, 57.2, 178 · PDF
  16. 2019 The Generating Function for Harmonic Numbers L. Junes, A. M. Andrews, and S. L. Zimmerman (CalU Students) The Fibonacci Quarterly, 57.1, 83 · PDF
  17. 2019 Determinant of a Symmetric Matrix L. Junes and S. M. Hartz (CalU Student) The Fibonacci Quarterly, 57.1, 82 · PDF
  18. 2018 Bergstrom on a Cyclic Sum L. Junes and Z. R. Smith (CalU Student) The Fibonacci Quarterly, 56.2, 180 · PDF
  19. 2016 Closure! L. Junes, L. Seader, and A. Lethotsky (CalU Students) The Fibonacci Quarterly, 54.4, 368 · PDF
  20. 2015 It Can Be Sharpened L. Junes, L. Seader, and S. Marks (CalU Students) The Fibonacci Quarterly, 53.2, 181 · PDF
  21. 2015 Close This Sum L. Junes, L. Seader, and S. Marks (CalU Students) The Fibonacci Quarterly, 53.2, 182 · PDF
  22. 2014 The AM-GM Inequality Paves the Way L. Junes, R. Florez, and R. Higuita (Colombia Student) The Fibonacci Quarterly, 52.3, 276 · PDF
  23. 2014 The Value of a Series of Reciprocal Fibonacci Numbers L. Junes, R. Florez, and R. Higuita (Colombia Student) The Fibonacci Quarterly, 52.3, 277 · PDF
  24. 2014 Nth Root of a Product L. Junes, N. Hilbert, and M. Kubicek (CalU Students) The Fibonacci Quarterly, 52.2, 179 · PDF
  25. 2014 It Could Be A Rational Bound L. Junes, N. Hilbert, and M. Kubicek (CalU Students) The Fibonacci Quarterly, 52.2, 181 · PDF
  26. 2014 Inequalities Generalized L. Junes, N. Hilbert, and M. Kubicek (CalU Students) The Fibonacci Quarterly, 52.2, 182 · PDF
  27. 2014 Almost Déjà vu! L. Junes, R. Florez, and R. Higuita (Colombia Student) The Fibonacci Quarterly, 52.2, 183 · PDF
  28. 2013 Another Division by 5 L. Junes, R. Florez, and R. Higuita (Colombia Student) The Fibonacci Quarterly, 51.4, 369 · PDF
  29. 2013 Two Sums with Square Roots L. Junes, R. Florez, and R. Higuita (Colombia Student) The Fibonacci Quarterly, 51.4, 370 · PDF
  30. 2013 A Trig and Fibonacci Amalgam L. Junes, R. Florez, and R. Higuita (Colombia Student) The Fibonacci Quarterly, 51.4, 373 · PDF
  31. 2013 Periodic Sequences L. Junes, M. Silvio, and K. Zemba (CalU Students) The Fibonacci Quarterly, 51.4, 373 · PDF
  32. 2013 Fibonacci Numbers Divided by 11 L. Junes, M. Silvio, and K. Zemba (CalU Students) The Fibonacci Quarterly, 51.3, 276 · PDF
  33. 2013 The Fifth and Seven Powers of Fibonacci Numbers L. Junes, T. Stoner, and C. Killian (CalU Students) The Fibonacci Quarterly, 51.3, 278 · PDF
  34. 2013 Evaluating a Double Sum with Inverse Fibonacci Numbers L. Junes, R. Florez, and R. Higuita (Colombia Student) The Fibonacci Quarterly, 51.2, 180 · PDF
  35. 2013 A Fibonacci and Triangular Numbers Inequality L. Junes, R. Florez, and R. Higuita (Colombia Student) The Fibonacci Quarterly, 51.2, 182 · PDF
  36. 2013 The Ubiquitous AM-GM Inequality L. Junes, R. Florez, and R. Higuita (Colombia Student) The Fibonacci Quarterly, 51.1, 86 · PDF
  37. 2013 From the Weighted AM-GM Inequality L. Junes, R. Florez, and R. Higuita (Colombia Student) The Fibonacci Quarterly, 51.1, 87 · PDF
  38. 2013 An Extension to Negative Subscripts L. Junes, R. Florez, and R. Higuita (Colombia Student) The Fibonacci Quarterly, 51.1, 88 · PDF
  39. 2012 By Means of the Geometric and Arithmetic Means L. Junes, R. Florez, and A. Galindo (Colombia Student) The Fibonacci Quarterly, 50.4, 369 · PDF
  40. 2012 A Rate of Growth of Sum of Reciprocal Fibonacci Numbers L. Junes, R. Florez, and R. Higuita (Colombia Student) The Fibonacci Quarterly, 50.3, 274 · PDF
  41. 2012 It Is Two! L. Junes, R. Florez, and R. Higuita (Colombia Student) The Fibonacci Quarterly, 50.2, 182 · PDF
  42. 2012 It Is Two, Too! L. Junes, R. Florez, and R. Higuita (Colombia Student) The Fibonacci Quarterly, 50.2, 183 · PDF
  43. 2012 A "Well-Connected" Sequence L. Junes, R. Florez, and R. Higuita (Colombia Student) The Fibonacci Quarterly, 50.2, 184 · PDF
  44. 2012 A "Loaded Divisibility" Problem L. Junes, R. Florez, and R. Higuita (Colombia Student) The Fibonacci Quarterly, 50.2, 185 · PDF
  45. 2012 A "Sterling" Sum L. Junes, R. Florez, and R. Higuita (Colombia Student) The Fibonacci Quarterly, 50.2, 186 · PDF

Books in Preparation

Not yet published, and not counted above.