AN ADDITIVE APPLICATION OF THE RESONANCE METHOD

Sourmelidis, Athanasios

Type de document :

Pré-publication ou Document de travail

URL permanente :

http://hdl.handle.net/20.500.12210/121152

Titre :

AN ADDITIVE APPLICATION OF THE RESONANCE METHOD

Auteur(s) :

Sourmelidis, Athanasios [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Discipline(s) HAL :

Mathématiques [math]/Théorie des nombres [math.NT]

Résumé en anglais : [en]

We improve upon an Omega result due to Soundararajan with respect to general trigonometric polynomials having positive Fourier coefficients. Instead of Dirichlet's approximation theorem we employ the resonance method and ...
Lire la suite >We improve upon an Omega result due to Soundararajan with respect to general trigonometric polynomials having positive Fourier coefficients. Instead of Dirichlet's approximation theorem we employ the resonance method and this leads to better extreme results in lattice point problems such as Dirichlet's divisor problem and Gauss' circle problem. Moreover, the present approach shows that the resonance method can also be viewed as an additive device, which has been used in multiplicative problems so far. Its extension to trigonometric polynomials with complex coefficients is also discussed and its connection to Bohr and Jessen's proof of Kronecker's theorem is highlighted.Lire moins >

Langue :

Anglais

Commentaire :

12 pages

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Date de dépôt :

2025-01-24T11:19:13Z

Fichiers

document
Accès libre
Accéder au document

circleanddivisor4.pdf
Accès libre
Accéder au document

AN ADDITIVE APPLICATION OF THE RESONANCE METHOD BibTeX CSV Excel RIS

Fichiers

AN ADDITIVE APPLICATION OF THE RESONANCE METHOD

BibTeX

CSV

Excel

RIS