A cubic transformation formula for $_{2}F_{1}(\frac{1}{3},\frac{2}{3};1;z)$ and some arithmetic convolution formulae

DOI10.1017/S0305004104007832zbMath1060.11003OpenAlexW1968117046MaRDI QIDQ3159874

Kenneth S. Williams

Publication date: 16 February 2005

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004104007832

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Classical hypergeometric functions, ({}_2F_1) (33C05) Elliptic functions and integrals (33E05) Exponential sums and character sums (11L99)

Related Items (1)

Evaluation of the convolution sums \(\sum _{l+6m=n}\sigma (l)\sigma (m)\) and \(\sum _{2l+3m=n}\sigma (l)\sigma (m)\)

This page was built for publication: A cubic transformation formula for $_{2}F_{1}(\frac{1}{3},\frac{2}{3};1;z)$ and some arithmetic convolution formulae