Commutative Algebraic Groups and Refinements of the Gelfond-Feldman Measure

Evaluation of infinite series involving special products and their algebraic characterization

“…Some basic results we can find in the reference [4] which gives the state of the art on the arithmetic natur of values of generalized hypergeometric functions, both from the qualitative point of view (irrationality, transcendence, linear and algebraic independence) and from the quantitative one (approximation measures, linear independence measures, measures of algebraic independence).…”