A generalized effective Newman's Tauberian theorem is established via an effective Riemann-Lebesgue lemma for p-variation functions and applied to abstract analytic semigroups to yield explicit-error prime number theorem and Mertens function results.
Bekehermes,Allgemeine Dirichletreihen und Primzahlverteilung in arithmetischen Halb- gruppen, Clausthal
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.CV 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Newman's Tauberian theorem, the Riemann-Lebesgue Lemma, and abstract analytic number theory
A generalized effective Newman's Tauberian theorem is established via an effective Riemann-Lebesgue lemma for p-variation functions and applied to abstract analytic semigroups to yield explicit-error prime number theorem and Mertens function results.