dc.contributor.advisor | Perfekt, Karl-Mikael | |
dc.contributor.author | Eide, Jonas | |
dc.date.accessioned | 2023-06-06T17:19:32Z | |
dc.date.available | 2023-06-06T17:19:32Z | |
dc.date.issued | 2023 | |
dc.identifier | no.ntnu:inspera:128912062:35267152 | |
dc.identifier.uri | https://hdl.handle.net/11250/3070228 | |
dc.description.abstract | Vi studerer generelle Dirichlet-rekker som antar forskjellige antakelser på frekvensen λ. Spesielt betrakter vi Dirichlet-rekker som tilhører rommet Dext∞ (λ) av alle noen steds konvergerende generelle Dirichlet-rekker som tillater en begrenset og holomorf utvidelse til det høyre halvplan [Re > 0]. Vi utleder kvantitative resultater for delsummene av Dirichlet-rekker som tilhører Dext∞ (λ), og viser at frekvenser under visse betingelser tilfresstiller Bohr’s teorem, nemlig at rekken konvergerer uniformt p˚a det høyre halvplan. | |
dc.description.abstract | We study general Dirichlet series assuming different conditions on the frequency λ. In particular we consider Dirichlet series belonging to the space Dext∞ (λ) of all somewhere convergent general Dirichlet series which allows a bounded and holomorphic extension to the right half-plane [Re > 0]. We deduce quantitative results for the partial sums of Dirichlet series belonging to Dext∞ (λ), and show that frequencies under certain conditions satisfy Bohr’s theorem, namely that the series converges uniformly on the right half-plane. | |
dc.language | eng | |
dc.publisher | NTNU | |
dc.title | Bohr's theorem for general Dirichlet series and different assumptions on frequencies | |
dc.type | Master thesis | |