3 papers
math.NT2026
Borwein-Bradley-type identities for Ramanujan-type series for
Noam Shalev
We prove ten conjectures of Z.-W. Sun on Ramanujan-type series for and with harmonic numbers. They follow by comparing Taylor coefficients in new Borwein-Bradley-type…
math.AP2026
Shape-Transition in Non-Euclidean Ribbons
Noam Shalev
Ribbons are thin elastic bodies whose thickness is much smaller than their width , which is in turn much smaller than their length. Starting from a three-dimensional model,…
math.NT2025
Closed-form evaluations of log-sine integrals and Apéry-like sums in terms of polylogarithms
Noam Shalev
We present a new systematic method for evaluating generalized log-sine integrals in terms of polylogarithms. Our approach is based on an identity connecting ordinary generating fun…