vol9_pp21-26. 116KB Jun 04 2011 12:06:17 AM
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Thus, by Dirichlet’s Theorem on primes in arithmetic progressions, it follows that there exist infinitely many prime numbers p such that p ≡ a (mod M ). It is clear that these
The following proposition is a consequence of [V], p.140, Theorem 2’ (the quoted theorem of Varopoulos is stronger than this statement):..
The spectral radius of connected non-regular graphs is considered.. This improves the recent results
characterize potentially stable sign patterns.Such sign patterns of orders 2, 3, 4 with signed directed graphs that have only r-cycles with r = 1 and r = 2 (called tree sign
To do this, observe that the hermitian forms graph is the Cayley graph C ay ( G, S ), where G is the additive group of all hermitian matrices and the set S consists of all
In the main Theorem 4.1 we show that regularity of interval matrices can be characterized in terms of determinants (Theorem 4.1, condition (xxxii)), matrix inverses (xxx),
This paper extends the Nilpotent- Jacobian method for sign pattern matrices to complex sign pattern matrices, establishing a means to show that an irreducible complex sign
Abstract.We define and investigate a new class of harmonic univalent functions defined by an integral operator.. We obtain coefficient inequalities, extreme points and distortion
