Results 21 to 30 of about 54 (34)

On the metaphysics of $\mathbb F_1$

open access: yes, 2023
In the present paper, dedicated to Yuri Manin, we investigate the general notion of rings of $\mathbb S[\mu_{n,+}]$-polynomials and relate this concept to the known notion of number systems.
Connes, Alain, Consani, Caterina
core  

Ring C*-algebras

open access: yes, 2009
We associate reduced and full C*-algebras to arbitrary rings and study the inner structure of these ring C*-algebras. As a result, we obtain conditions for them to be purely infinite and simple. We also discuss several examples.
Li, Xin
core   +2 more sources

Quanta of Maths [PDF]

open access: yes, 2010
The work of Alain Connes has cut a wide swath across several areas of math- ematics and physics. Reflecting its broad spectrum and profound impact on the contemporary mathematical landscape, this collection of articles covers a wealth of topics at the ...
Blanchard, Etienne   +5 more
core   +2 more sources

Counting automorphic forms on norm one tori [PDF]

open access: yes, 2018
We give an asymptotic formula for the number of automorphic forms on the non-split norm one torus T associated with an imaginary quadratic extension of Q, ordered by analytic ...
Hunter Brooks, E, Petrow, I
core  

Tate Objects in Exact Categories [PDF]

open access: yes, 2016
We study elementary Tate objects in an exact category. We characterize the category of elementary Tate objects as the smallest subcategory of admissible Ind-Pro objects which contains the categories of admissible Ind-objects and admissible Pro-objects ...
Braunling, O, Groechenig, M, Wolfson, J
core  

Quantum Statistical Mechanics, L-Series and Anabelian Geometry I: Partition Functions [PDF]

open access: yes, 2014
The zeta function of a number field can be interpreted as the partition function of an associated quantum statistical mechanical (QSM) system, built from abelian class field theory. We introduce a general notion of isomorphism of QSM-systems and prove
Cornelissen, Gunther, Marcolli, Matilde
core  

Issues of universal feasibiliy and multplier adjustment in data envelopment analysis (DEA) with an application [PDF]

open access: yes, 2008
O objectivo desta tese é o estudo dos casos de ausência de soluções admissíveis e desenvolvimento de modelos que contornem esse inconveniente que surge nos modelos de determinação de eficiência.
Santos, Jorge Manuel Azevedo
core  

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