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We prove an analogue of the prime number theorem for finite fields.

Number Theory · Mathematics 2013-08-26 Hao Pan , Zhi-Wei Sun

Using the concept of a twisted trace density on a cyclic groupoid, a trace is constructed on a formal deformation quantization of a symplectic orbifold. An algebraic index theorem for orbifolds follows as a consequence of a local…

K-Theory and Homology · Mathematics 2007-05-23 Markus J. Pflaum , Hessel Posthuma , Xiang Tang

A vector variational principle is proved.

Optimization and Control · Mathematics 2009-07-08 Ewa M. Bednarczuk , Dariusz Zagrodny

The theorem presented in this paper allows the creation of large prime numbers (of order up to o(n^2)) given a table of all primes up to n.

General Mathematics · Mathematics 2007-05-23 Leo Liberti

In this paper, we prove certain theorems about three consecutive primes.

General Mathematics · Mathematics 2009-09-25 Tsutomu Hashimoto

A general theorem on fibers of singular sets is presented.

Complex Variables · Mathematics 2013-11-01 Małgorzata Zajęcka

In this work we state a Theorem on number theory and apply it to solve some ordinary and partial differential equations.

General Mathematics · Mathematics 2021-02-25 B. M. Cerna Maguiña , D. D. Lujerio Garcia

We prove an index theorem for the quotient module of a monomial ideal. We obtain this result by resolving the monomial ideal by a sequence of Bergman space like essentially normal Hilbert modules.

Operator Algebras · Mathematics 2017-08-22 Ronald G. Douglas , Mohammad Jabbari , Xiang Tang , Guoliang Yu

In this article we present a generalization of a Leibniz's geometrical theorem and an application of it.

General Mathematics · Mathematics 2007-10-02 Mihaly Bencze , Florin Popovici , Florentin Smarandache

In his book (II.5), Connes gives a proof of the Atiyah-Singer index theorem for closed manifolds by using deformation groupoids and appropiate actions of these on R^N. Following these ideas, we prove an index theorem for manifolds with…

K-Theory and Homology · Mathematics 2009-05-12 Paulo Carrillo Rouse , Bertrand Monthubert

By a small bundle gerbe we mean a bundle gerbe in the sense of Murray defined on a smooth, finite-dimensional, fibre bundle over a manifold. We construct such gerbes over compact oriented aspherical 3-manifolds, as well as in higher…

Differential Geometry · Mathematics 2025-11-18 Varghese Mathai , Richard B. Melrose

We give a new simpler proof of a theorem of Jayne and Rogers.

Logic · Mathematics 2011-12-07 Luca Motto Ros , Brian Semmes

In the paper it is demonstrated that Bells theorem is an unprovable theorem.

General Physics · Physics 2021-11-16 Han Geurdes , Koji Nagata , Tadao Nakamura , Ahmed Farouk

We shall prove an extension of the semipositivity theorem for the case of reducible algebraic fiber spaces.

Algebraic Geometry · Mathematics 2009-11-10 Yujiro Kawamata

The aim of this article is to give a new proof of Cohen-Gabber theorem in the equal characteristic $p>0$ case.

Commutative Algebra · Mathematics 2026-03-09 Kazuhiko Kurano , Kazuma Shimomoto

This paper gives a fairly explicit formula for the Hilbert series of algebras of Veronese type.

Commutative Algebra · Mathematics 2007-05-23 Mordechai Katzman

We give an elementary proof to Hasse theorem.

General Mathematics · Mathematics 2012-12-12 Jianhua Chen , Debiao He , Zhijin Hu , Yitao Chen , Hao Hu

We prove the even isomorphism theorem for Coxeter groups

Group Theory · Mathematics 2007-05-23 Michael L. Mihalik

We establish a Szemeredi-Trotter type result for hyperbolas in $\mathbb F_p\times\mathbb F_p$

Combinatorics · Mathematics 2012-08-21 Jean Bourgain

We give a new proof of Tietze Theorem on the convergence of infinite semi-regular continued fractions.

Number Theory · Mathematics 2022-03-11 Daniel Duverney , Iekata Shiokawa