Results 71 to 80 of about 545,098 (196)
Stencil Computations on AMD and Nvidia Graphics Processors: Performance and Tuning Strategies
ABSTRACT Over the last ten years, graphics processors have become the de facto accelerator for data‐parallel tasks in various branches of high‐performance computing, including machine learning and computational sciences. However, with the recent introduction of AMD‐manufactured graphics processors to the world's fastest supercomputers, tuning ...
Johannes Pekkilä+3 more
wiley +1 more source
Mirror Symmetry For Zeta Functions [PDF]
In this paper, we study the relation between the zeta function of a Calabi-Yau hypersurface and the zeta function of its mirror. Two types of arithmetic relations are discovered. This motivates us to formulate two general arithmetic mirror conjectures for the zeta functions of a mirror pair of Calabi-Yau manifolds.
arxiv
VALUES OF ZETA FUNCTIONS OF ARITHMETIC SURFACES AT [PDF]
Stephen Lichtenbaum+1 more
openalex +1 more source
Colloidal forces play an important role in many life phenomena. Here, we present the preparation of hydrophobic and hydrophilic systems for the study of colloidal forces by AFM. The data are modeled using an extended DLVO model. ABSTRACT Colloidal forces are essential for maintaining the stability and functionality of colloidal systems, affecting ...
Luis N. Ponce‐Gonzalez+2 more
wiley +1 more source
Compatibility of Special value conjectures with the functional equation of Zeta functions [PDF]
We prove that the special value conjecture for the Zeta function of a proper, regular arithmetic scheme X that we formulated in our previous article [8] is compatible with the functional equation of the Zeta function provided that the factor C(X,n) we were not able to compute in loc. cit. has the simple explicit form suggested in [9].
arxiv
Motivic Serre invariants, ramification, and the analytic Milnor fiber
We show how formal and rigid geometry can be used in the theory of complex singularities, and in particular in the study of the Milnor fibration and the motivic zeta function.
A. Bravo+29 more
core +2 more sources
Stabilized Krylov Subspace Recurrences via Randomized Sketching
ABSTRACT Recurrences building orthonormal bases for polynomial Krylov spaces have been classically used for approximation purposes in various numerical linear algebra contexts. Variants aiming to limit memory and computational costs by using truncated recurrences often have convergence constraints.
Valeria Simoncini, YiHong Wang
wiley +1 more source
Inspired by the invariant of a number field given by its zeta function, we define the notion of {\it weak arithmetic equivalence}, and show that under certain ramification hypothesis, this equivalence determines the local root numbers of the number field.
Mantilla-Soler, Guillermo
core +1 more source
A reconfigurable intelligent surface is proposed that can simultaneously anomalously reflect the light and sense the angle of arrival. An in situ optimization of either the currents flowing on array elements or the far field in the receiver direction realizes anomalous reflection and suppresses parasitic scattering.
Mostafa Movahediqomi+4 more
wiley +1 more source
Non-Abelian L Function for Number Fields [PDF]
This is an integrated part of our Geo-Arithmetic Program. In this paper we introduce and hence study non-abelian zeta functions and more generally non-abelian $L$-functions for number fields, based on geo-arithmetical cohomology, geo-arithmetical truncation and Langlands' theory of Eisenstein series.
arxiv