Concept

Zero divisor

Related publications (18)

On the Use of the Generalized Littlewood Theorem Concerning Integrals of the Logarithm of Analytical Functions for the Calculation of Infinite Sums and the Analysis of Zeroes of Analytical Functions

Recently, we have established and used the generalized Littlewood theorem concerning contour integrals of the logarithm of an analytical function to obtain a few new criteria equivalent to the Riemann hypothesis. Here, the same theorem is applied to calcul ...

MDPI2023

Improved Modeling of Sediment Oxygen Kinetics and Fluxes in Lakes and Reservoirs

Alfred Johny Wüest

To understand water quality degradation during hypoxia, we need to understand sediment oxygen ﬂuxes, the main oxygen sink in shallow hypolimnia. Kinetic models, which integrate diﬀusion and consumption of dissolved oxygen (DO) in sediments, usually assume ...

2020

Nodeless superconductivity in the noncentrosymmetric Mo3Rh2N superconductor: A mu SR study

Joël Mesot

The noncentrosymmetric superconductor Mo3Rh2N, with T-c = 4.6 K, adopts a beta-Mn-type structure (space group P4(1)32), similar to that of Mo3Al2C. Its bulk superconductivity was characterized by magnetization and heat-capacity measurements, while its micr ...

AMER PHYSICAL SOC2018

Convex block-sparse linear regression with expanders - provably

Volkan Cevher, Quoc Tran Dinh, Anastasios Kyrillidis, Luca Baldassarre, Bubacarr Bah

Sparse matrices are favorable objects in machine learning and optimization. When such matrices are used, in place of dense ones, the overall complexity requirements in optimization can be significantly reduced in practice, both in terms of space and run-ti ...

2016

Two-dimensional Magnetism in kappa-(BEDT-TTF)(2)Cu[N(CN)(2)]Cl, a Spin-1/2 Heisenberg Antiferromagnet with Dzyaloshinskii-Moriya Interaction

László Forró, Bálint Náfrádi, Agnes Antal

The finite phase transition temperature, T-N, of quasi two-dimensional (2D) Heisenberg antiferromagnetic (AF) crystals results from in-plane anisotropy or coupling between layers. It is usually not known which is the determining factor when both are weak. ...

Physical Soc Japan2015

(Finite) statistical size effects on compressive strength

The larger structures are, the lower their mechanical strength. Already discussed by Leonardo da Vinci and Edme Mariotte several centuries ago, size effects on strength remain of crucial importance in modern engineering for the elaboration of safety regula ...

Natl Acad Sciences2014

Statistics Of Prime Divisors In Function Fields

Robert Christopher Rhoades

We show that the prime divisors of a random polynomial in F-q[t] are typically "Poisson distributed". This result is analogous to the result in Z of Granville [1]. Along the way, we use a sieve developed by Granville and Soundararajan [2] to give a simple ...

2009

2-Selmer groups and the Birch-Swinnerton-Dyer Conjecture for the congruent number curves

Robert Christopher Rhoades

We take an approach toward Counting the number of integers n for which the curve (n),: y(2) = x(3) - n(2)x has 2-Selmer groups of a given size. This question was also discussed in a pair of papers by Roger Heath-Brown. In contrast to earlier work, our anal ...

2009

Atom-Transfer Radical Addition Reactions Catalyzed by RuCp* Complexes: A Mechanistic Study

Kay Severin, Andrzej Sienkiewicz, Katarzyna Pierzchala, Gregor Kiefer, Katrin Anne Thommes

Kinetic and spectroscopic analyses were performed to gain information about the mechanism of atom-transfer radical reactions catalyzed by the complexes [RuCl2Cp*(PPh3)] and [RuClCp*(PPh3)2] (Cp*=pentamethylcyclopentadienyl), in the presence and in the abse ...

2009

Suppression of the zero-order in off-axis digital holography through nonlinear filtering

Michaël Unser, Christian Depeursinge, Nicolas Pavillon, Jonas Kühn, Chandra Sekhar Seelamantula

We present experimental validation of a new reconstruction method for off-axis digital holographic microscopy (DHM). This method effectively suppresses the object auto-correlation — namely the zero-order term — from holographic data, thereby improving the ...

2009

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