Results 41 to 50 of about 169 (129)

The Generalized Riemann Hypothesis and Applications to Primality Testing

open access: yes, 2021
The Riemann Hypothesis, posed in 1859 by Bernhard Riemann, is about zerosof the Riemann zeta-function in the complex plane. The zeta-function can be repre-sented as a sum over positive integers n of terms 1/ns when s is a complex numberwith real part ...
Hall, Peter
core   +1 more source

Hybrid Coupling With Operator Inference and the Overlapping Schwarz Alternating Method

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 127, Issue 17, 15 September 2026.
ABSTRACT This paper presents a hybrid approach for coupling subdomain‐local, nonintrusive Operator Inference (OpInf) reduced order models (ROMs) with each other and with subdomain‐local, high‐fidelity full order models (FOMs) using the overlapping Schwarz alternating method (O‐SAM).
Irina Tezaur   +5 more
wiley   +1 more source

Limit Conjectures in Number Theory, Lehmer's Conjecture, Conjecture of Schinzel-Zassenhaus, dynamical zeta function of the beta-shift: Part 2.-- Dynamical zeta function of the beta-shift.Beta-transformation, Perron-Frobenius operators, transfer operators, generalized Fredholm determinants, kneading determinants of Milnor and Thurston, Parry Upper functions, some results from ergodic theory

open access: yes, 2018
This Summer School on the Theory of Motives and the Theory of Numbers, at the crossroad of several L functions, zeta functions, polyzeta functions and dynamical zeta functions will be held on the scientific campus of Le-Bourget-du-Lac, close to the ...
Verger-Gaugry, Jean-Louis
core  

On the Existential Theory of the Completions of a Global Field

open access: yesMathematische Nachrichten, Volume 299, Issue 9, Page 2680-2692, September 2026.
ABSTRACT We discuss the common existential theory of all or almost all completions of a global function field.
Philip Dittmann, Arno Fehm
wiley   +1 more source

Fast algorithms for multiple evaluations of the Riemann zeta function

open access: yes, 1988
The best previously known algorithm for evaluating the Riemann zeta function, ζ ( σ + i t ) \zeta (\sigma + it) , with σ \sigma bounded and t t large to ...
A. Schönhage, A. M. Odlyzko
core   +1 more source

A Variational Method for Reconstructing and Separating Balanced Motions and Internal Tides From Wide‐Swath Altimetric Sea Surface Height Observations

open access: yesJournal of Advances in Modeling Earth Systems, Volume 18, Issue 9, September 2026.
Abstract The surface water and ocean topography (SWOT) satellite mission marks a major advance in observing ocean surface dynamics, providing sea surface height (SSH) measurements at unprecedented spatial resolution. Reconstructing gridded SSH fields from SWOT data requires new algorithms capable of retrieving measured fine‐scale variability, which is ...
V. Bellemin‐Laponnaz   +4 more
wiley   +1 more source

Value distribution theorems for the periodic zeta-function. [PDF]

open access: yes, 2010
In the thesis, the Atkinson formula for the periodic zeta-function on the critical line and the critical strip, and limit theorems in the sense of weak convergence of probability measures in various spaces are considered.
Karaliūnaitė, Julija,
core  

A higher rank shifted convolution problem with applications to L$L$‐functions

open access: yesProceedings of the London Mathematical Society, Volume 133, Issue 3, September 2026.
Abstract While several instances of shifted convolution problems for GL(3)×GL(2)${\rm GL}(3) \times {\rm GL}(2)$ have been solved, the case where one factor is the classical divisor function and one factor is a GL(3)${\rm GL}(3)$ Fourier coefficient has remained open. We solve this case in the present paper.
Valentin Blomer, Junxian Li
wiley   +1 more source

On Zeta Function of Well-rounded Lattices

open access: yes, 2007
A lattice in R^n is called well-rounded (WR) if its minimal vectors with respect to Euclidean norm span R^n. This is an important class of lattices, which comes up frequently in connection with classical optimization problems.
Fukshansky, Lenny
core   +1 more source

Limit Conjectures in Number Theory, Lehmer's Conjecture, Conjecture of Schinzel-Zassenhaus, Dynamical Zeta Function of the Beta-shift: Part 3.-- Rényi-Parry Dynamical System, Lacunarity, Lenticularity.Conditions of Parry, dynamics of Perron numbers, in real algebraic number basis. Geometry and Identification of the Zeroes of the Parry Upper Functions, Solomyak's Fractal, Questions of Rationality, Dichotomy of Carlson-Polya

open access: yes, 2018
This Summer School on the Theory of Motives and the Theory of Numbers, at the crossroad of several L functions, zeta functions, polyzeta functions and dynamical zeta functions will be held on the scientific campus of Le-Bourget-du-Lac, close to the ...
Verger-Gaugry, Jean-Louis
core  

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