The explicit upper bound of the multiple integral of S(t) on the Riemann Hypothesis
Abstract
We prove explicit upper bounds of the function Sm(T), defined by the repeated integration of the argument of the Riemann zeta-function. The explicit upper bound of S(T) and S1(T) have already been obtained by A. Fujii. Our result is a generalization of Fujii's results.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.