a high indices theorem without a nontrivial solution
AbstractIn this paper we will extend the high indices Theorem by Hardy-Littlewood, which says that an Abel summable series, where the exponents fulfil a Hadamard gap criterion, is convergent and it converges to its Abel sum. The focus here is concerning a class of summability methods and their critical rate of convergence, i.e. for a given summability method what is its rate of convergence implying that the series must be identically constant.
How to Cite
Johansson, B. I. (2010). a high indices theorem without a nontrivial solution. MATHEMATICA SCANDINAVICA, 106(1), 23–38. https://doi.org/10.7146/math.scand.a-15122