A Novel Integral Equation for the Riemann Zeta Function and Large <i>t</i>-Asymptotics
Based on the new approach to Lindelöf hypothesis recently introduced by one of the authors, we first derive a novel integral equation for the square of the absolute value of the Riemann zeta function. Then, we introduce the machinery needed to obtain an estimate for the solution of this equ...
Main Authors: | Konstantinos Kalimeris, Athanassios S. Fokas |
---|---|
Format: | Article |
Language: | English |
Published: |
MDPI AG
2019-07-01
|
Series: | Mathematics |
Subjects: | |
Online Access: | https://www.mdpi.com/2227-7390/7/7/650 |
Similar Items
-
Relations among the Riemann Zeta and Hurwitz Zeta Functions, as Well as Their Products
by: A. C. L. Ashton, et al.
Published: (2019-06-01) -
Explicit Formulas and Asymptotic Expansions for Certain Mean Square of Hurwitz Zeta-Functions: III
by: MATSUMOTO, KOHJI, et al.
Published: (2002) -
A renormalization approach to the Riemann zeta function at — 1, 1 + 2 + 3 + …~ — 1/12.
by: Gunduz Caginalp
Published: (2018-06-01) -
Fourier coefficients associated with the Riemann zeta-function
by: Yu.V. Basiuk, et al.
Published: (2016-06-01) -
Joint universality of the Riemann zeta-function and Lerch zeta-functions
by: Antanas Laurinčikas, et al.
Published: (2013-07-01)