Advanced search
Publication Cover
Experimental Mathematics Volume 23, 2014 - Issue 1
Submit an article Journal homepage
89
Views
6
CrossRef citations to date
0
Altmetric
Original Articles

On the Complex Dimensions of Nonlattice Fractal Strings in Connection with Dirichlet Polynomials

E. DubonDepartment of Mathematical Analysis, University of Alicante, Alicante, Spain
&
J. M. SepulcreDepartment of Mathematical Analysis, University of Alicante, Alicante, SpainCorrespondence[email protected]
Pages 13-24 | Published online: 12 Mar 2014

References

  • C. E. [Avellar and Hale 80] Avellar and J. K. Hale. “On the Zeros of Exponential Polynomials.” Journal of Mathematical Analysis and Applications 73 (1980), 434–452.
  • H. [Bohr 47] Bohr. Almost Periodic Functions. Chelsea, 1947.
  • E. [Dubon et al. 12] Dubon, G. Mora, J. M. Sepulcre, J. I. Ubeda, and T. Vidal. “A Note on the Real Projection of the Zeros of Partial Sums of Riemann Zeta Function.” Rev. R. Acad. Cienc. Exactas F´ıs. Nat. Ser. A Mat. RACSAM, DOI:10.1007/s13398-012-0094-2, 2012.
  • M. L. [Lapidus and Pomerance 93] Lapidus and C. Pomerance. “The Riemann Zeta-Function and the One-Dimensional Weyl–Berry Conjecture for Fractal Drums.” Proc. London Math. Soc. (3) 66 (1993), 41–69.
  • M. L. [Lapidus and van Frankenhuysen 03] Lapidus and M. van Frankenhuysen. “Complex Dimensions of Self-Similar Fractal Strings and Diophantine Approximation.” Experimental Mathematics 12 (2003), 41–69.
  • M. L. [Lapidus and van Frankenhuysen 13] Lapidus and M. van Frankenhuysen. Fractal Geometry, Complex Dimensions and Zeta Functions: Geometry and Spectra of Fractal Strings, SpringerMonographs in Mathematics, second edition. Springer, 2013.
  • G. [Mora and Sepulcre 09] Mora and J. M. Sepulcre. “On the Distribution of Zeros of a Sequence of Entire Functions Approaching the Riemann Zeta Function.” J. Math. Anal. Appl. 350 (2009), 409–415.
  • G. [Mora and Sepulcre 11] Mora and J. M. Sepulcre. “The Critical Strips of the Sums 1 + 2z +· · ·+nz.” Abstract and Applied Analysis, article ID 909674, DOI:10.1155/2011/909674, 2011.
  • G. [Mora and Sepulcre 12] Mora and J. M. Sepulcre. “Privileged Regions in Critical Strips of Non-lattice Dirichlet Polynomials.” Complex Analysis and Operator Theory, DOI:10.1007/s11785-012-0248-4, 2012.
  • G.[Mora et al. 13] Mora, J. M. Sepulcre, and T. Vidal. “On the Existence of Exponential Polynomials with Prefixed Gaps.” Bull. London Math. Soc. DOI:10.1112/blms/bdt043, 2013.
  • E. [Soprunova 08] Soprunova. “Exponential Gelfond–Khovanskii Formula in Dimension One.” Proceedings of the American Mathematical Society, 136 (2008), 239–247.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.