Jesús Guillera

collaborators

3 papers

math.NT2025

Fast formulas for the Hurwitz values $I^¶ (2, a)$ and $I^¶ (3, a)$

JesÃºs Guillera

We prove two fast formulas for the Hurwitz values $I^¶ (2, a)$ and $I^¶ (3, a)$ respectively with the help of the WZ method. In them $(a)_{n}$ denotes the rising factorial or Pochhammer's…

math.NT2025

The fastest series for $1/ I ¨ $ due to Ramanujan. Proofs from modular polynomials

JesÃºs Guillera

First we give general formulas for proving real or complex Ramanujan series for $1/ I ¨ $ . Then, as an example, we apply them for providing complete proofs of the fastest series for $…

math.NT2025

The WZ method and flawless WZ pairs

JesÃºs Guillera

Recently, Kam Cheong Au discovered a powerful methodology of finding new Wilf-Zeilberger (WZ) pairs. He calls it WZ seeds and gives numerous examples of applications to proving lon…

Fast formulas for the Hurwitz values I^¶(2,a) and I^¶(3,a)

The fastest series for 1/I¨ due to Ramanujan. Proofs from modular polynomials

The WZ method and flawless WZ pairs

Fast formulas for the Hurwitz values $I^¶ (2, a)$ and $I^¶ (3, a)$

The fastest series for $1/ I ¨ $ due to Ramanujan. Proofs from modular polynomials