Cargando…

On generating functions in additive number theory, II: lower-order terms and applications to PDEs

We obtain asymptotics for sums of the form [Formula: see text] involving lower order main terms. As an application, we show that for almost all [Formula: see text] one has [Formula: see text] and that in a suitable sense this is best possible. This allows us to improve bounds for the fractal dimensi...

Descripción completa

Detalles Bibliográficos
Autores principales: Brandes, J., Parsell, S. T., Poulias, C., Shakan, G., Vaughan, R. C.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7862536/
https://www.ncbi.nlm.nih.gov/pubmed/33603253
http://dx.doi.org/10.1007/s00208-020-02107-0