3 papers
cs.SC2026
A Reduction Library for Polynomial-Base Harmonic Numbers
Jayanta Phadikar
We develop a finite reduction library for multiple polynomial-base harmonic numbers, strict colored nested sums in which the denominator letters at each summation level are univari…
math.GM2026
Certified Arbitrary-Precision Evaluation of a Family of Generalized Multiple Zeta Functions
Jayanta Phadikar
We describe a certified arbitrary-precision framework for evaluating a family of generalized multiple zeta functions. The family includes strict and weak-star chain sums, ordinary…
math.GM2026
Monoidal Alphabets for Generalized Harmonic Sums
Jayanta Phadikar
We develop a general finite-alphabet framework for Euler-type sums based on the notion of a monoidal alphabet. An alphabet of summand letters is called monoidal when it is closed u…