Publications related to Cubic reciprocity

The 2021 Magnonics Roadmap

Dirk Grundler, Thomas Yu, Heena Yang, Joyeeta Sinha

Magnonics is a budding research field in nanomagnetism and nanoscience that addresses the use of spin waves (magnons) to transmit, store, and process information. The rapid advancements of this field during last one decade in terms of upsurge in research p ...

2021

Strictly Real Fundamental Theorem Of Algebra Using Polynomial Interlacing

Soham Basu

Without resorting to complex numbers or any advanced topological arguments, we show that any real polynomial of degree greater than two always has a real quadratic polynomial factor, which is equivalent to the fundamental theorem of algebra. The proof uses ...

CAMBRIDGE UNIV PRESS2021

Optoelectronic Properties of Layered Perovskite Solar Cells

Mohammad Khaja Nazeeruddin, Sanghyun Paek, Yonghui Lee, Kyung Taek Cho

Herein, the optoelectronic properties of interface-engineered perovskite 2D|3D-heterojunction structure solar cells are reported. The reciprocity theorem is applied to determine the maximum open-circuit voltage (V-oc) the device can deliver under solar ill ...

2019

Active Acoustic Resonators and their Applications to Loss-Immune, Reconfigurable, or Dynamic Metamaterials

Romain Christophe Rémy Fleury

Locally-resonant sonic metamaterials refer to synthetic acoustic matter composed of artificial acoustic “atoms”, generally passive, and of subwavelength sizes, that are capable of resonantly interacting with an external acoustic wave, and manipulate it in ...

2019

Non-reciprocal magnons in non-centrosymmetric MnSi

Gregory Scott Tucker

Using two cold-neutron triple-axis spectrometers we have succeeded in fully mapping out the field-dependent evolution of the non-reciprocal magnon dispersion relations in all magnetic phases of MnSi. The non-reciprocal nature of the dispersion manifests it ...

AMER INST PHYSICS2018

Bilinear forms with Kloosterman sums and applications

Philippe Michel

We prove nontrivial bounds for general bilinear forms in hyper-Kloosterman sums when the sizes of both variables may be below the range controlled by Fourier-analytic methods (Polya-Vinogradov range). We then derive applications to the second moment of cus ...

Annal Mathematics2017

Multi-objective Optimization of Supercritical Water Gasification of Leftover Brazilian Ginseng Roots After Phytochemical Recovery Steps

François Maréchal, Adriano Viana Ensinas, Alberto Mian, Juliana Queiroz Albarelli, Diego Tresinari dos Santos

The present study aims at studying the supercritical water gasification (SCWG) of the leftover Brazilian ginseng roots after phytochemicals extraction for synthetic natural gas (SNG) production, envisioning the development of a promising Brazilian ginseng ...

2017

Faster ECC over $\mathbb{F}_{2^{521}-1}$

Robert Granger

In this paper we present a new multiplication algorithm for residues modulo the Mersenne prime

2^{521}−1

. Using this approach, on an Intel Haswell Core i7-4770, constant-time variable-base scalar multiplication on NIST’s (and SECG’s) curve P-521 requires ...

Springer Berlin Heidelberg2015

Comparative Evaluation of Three Sugarcane Supply Strategies in Colombia: Logistics, Energy and GHG Emissions

François Maréchal, Jairo Alexander Lozano Moreno

Sugarcane-based ethanol in Colombia has a prospective opportunity to explore the production of ethanol from lignocellulosic biomass taking into account that a large amount of generated residues (between 50 and 100 t/ha) are left on the field after green ha ...

2015

Gaussian distribution for the divisor function and Hecke eigenvalues in arithmetic progressions

Philippe Michel

We show that, in a restricted range, the divisor function of integers in residue classes modulo a prime follows a Gaussian distribution, and a similar result for Hecke eigenvalues of classical holomorphic cusp forms. Furthermore, we obtain the joint distri ...

European Mathematical Soc2014

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The 2021 Magnonics Roadmap

Strictly Real Fundamental Theorem Of Algebra Using Polynomial Interlacing

Optoelectronic Properties of Layered Perovskite Solar Cells

Active Acoustic Resonators and their Applications to Loss-Immune, Reconfigurable, or Dynamic Metamaterials

Non-reciprocal magnons in non-centrosymmetric MnSi

Bilinear forms with Kloosterman sums and applications

Multi-objective Optimization of Supercritical Water Gasification of Leftover Brazilian Ginseng Roots After Phytochemical Recovery Steps

Faster ECC over $\mathbb{F}_{2^{521}-1}$

Comparative Evaluation of Three Sugarcane Supply Strategies in Colombia: Logistics, Energy and GHG Emissions

Gaussian distribution for the divisor function and Hecke eigenvalues in arithmetic progressions

The 2021 Magnonics Roadmap

Strictly Real Fundamental Theorem Of Algebra Using Polynomial Interlacing

Multi-objective Optimization of Supercritical Water Gasification of Leftover Brazilian Ginseng Roots After Phytochemical Recovery Steps

Bilinear forms with Kloosterman sums and applications

Non-reciprocal magnons in non-centrosymmetric MnSi

Active Acoustic Resonators and their Applications to Loss-Immune, Reconfigurable, or Dynamic Metamaterials

Comparative Evaluation of Three Sugarcane Supply Strategies in Colombia: Logistics, Energy and GHG Emissions

Faster ECC over $\mathbb{F}_{2^{521}-1}$

Gaussian distribution for the divisor function and Hecke eigenvalues in arithmetic progressions

Optoelectronic Properties of Layered Perovskite Solar Cells