نتایج جستجو برای: b prime of 0

تعداد نتایج: 21395677  

2012
SILVIU RADU Scott Ahlgren

Let p(n) denote the number of partitions of n. In this paper we prove that if {An + B} is an arithmetic progression and l ≥ 5 a prime, such that p(An+B) ≡ 0 (mod l), n ∈ N. Then l|A and (

2013
Khalid Mahmood M. Khalid Mahmood M. Aslam Malik

In this paper we find solutions of congruences of the form ax ≡ b(mod p), k≥1 where a, b and n>0 are integers which are not divisible by a prime p using Halley's iterative algorithm. An algorithm is also proposed to reduce the degree of a nonlinear congruence modulo p. AMS Mathematics Subject Classification (2000): 05C25 • 11E04 • 20G15

Journal: :Finite Fields and Their Applications 2023

Let $q$ be an odd prime and $B = \{b_{j}\}_{j=1}^{l}$ a finite set of nonzero integers that does not contain perfect $q^{th}$ power. We show $B$ has power modulo every $p \neq q$ dividing $\prod_{b\in B} b$ if only corrresponds to linear hyperplane covering $\mathbb{F}_{q}^{k}$. Here, $k$ is the number distinct factors $q$-free part elements $B$. Consequently: $(i)$ \subset\mathbb{Z}\setminus\{...

پایان نامه :وزارت علوم، تحقیقات و فناوری - دانشگاه لرستان - دانشکده علوم پایه 1392

‎in this article‎, ‎we have focused one some basic and productive information about the properties of spectrum and singular values related to compact operators which are ideals in a c*-algebra of bounded operators‎. ‎considering a two-sided connection between the family of symmetric gauge functions on sequence of singular values of compact operators and symmetric norms on finite dimensional ope...

2012
M. LAFOURCADE

Let us assume we are given a symmetric prime b. It is well known that V ∼ 0. We show that Σ ∈ κ. In [16], it is shown that B > π. Recent developments in discrete graph theory [15, 3] have raised the question of whether

2010
RICHARD H. HUDSON

Let A: be an integer > 2 andp a prime such that vk(p) = (k,p — 1) > 1. Let bn + c(n = 0,1,. ..;b > 2,1 < c < b, (b,p) — (c,p) = 1) be an arithmetic progression. We denote the smallest kth power nonresidue in the progression bn + c by g(p,k,b,c), the smallest quadratic residue in the progression bn + c by r2(p,b,c), and the nth smallest prime kth power nonresidue by g„(p,k), n = 0, 1, 2,_ If C(p...

Journal: :Linear & Multilinear Algebra 2022

Let A and B be unital rings. An additive map T:A→B is called a weighted Jordan homomorphism if c=T(1) an invertible central element cT(x2)=T(x)2 for all x∈A. We provide assumptions, which are in particular fulfilled when A=B=Mn(R) with n≥2 R any ring 12, under every surjective the property that T(x)T(y)+T(y)T(x)=0 whenever xy = yx 0 homomorphism. Further, we show prime char(A)≠2,3,5, then bijec...

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