[PDF] Top 20 La evolución financiera de los hogares y de las sociedades del área del euro en 2014
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Finding the ring of integers and its algorithms in algebraic number theory
... of integers modulo n:the sum of the congruence classes of integers x and y is the congruence class of x+y, and the product of these congruence classes is the congruence class of ... See full document
58
Ring-LWE Cryptography for the Number Theorist
... Exciting number theory problems often arise from cryptographic appli- ...associated number theoretic ...in number theory; in particular, we investigate the spectral distortion of an ... See full document
31
Contributions to algebraic number theory from India: From independence to late 90's
... There has been several contributions from mathematicians at Chandigarh on Henselian rings. The classical result of Hasse and Arf on higher ramification groups in a cyclic Galois extension of a complete discrete rank 1 ... See full document
16
Lattices with Symmetry
... in algebraic number theory; in particular, it is a finite abelian group (Theorems ...single algebraic structure that comprises all rings and lattices occurring in our main ...in finding ... See full document
57
Units in families of totally complex algebraic number fields
... fraction algorithms associated with GL n (Z K ), where Z k is the ring of integers of an imaginary quadratic field K, are introduced and applied to find systems of fundamental units in families of ... See full document
285
Unique Prime Factorization of Ideals in the Ring of Algebraic Integers of an Imaginary Quadratic Number Field
... if its only rational integer divisors are ±1 and ±p, it then follows that any element a of Z may be expressed uniquely as a product of rational prime integers (it will become apparent why we refer to what ... See full document
8
Diffusion in General Physics and the Theory of the Convective Diffusion
... However, a change in the concentrations is possible and by the molecular transfer of components of one section to another. This levelling off of concentrations due to a direct change of the composition of drop in the ... See full document
183
On the difference of values of the kernel function at consecutive integers
... consecutive integers is a common problem in number ...many integers n such that d(n) = d(n+ 1 ) (here d(n) stands for the number of divisors of n ), a question which was answered in the ... See full document
64
Representation of Algebraic Integers as Sum of Units over the Real Quadratic Fields
... 1. Goldsmith. Pabst and Scott (5) proved a similar result without the property of being distinct units. The sum of unit of numbers of rings of quadratic field also discussed by Ashrafi and Vamos (6). Further result given ... See full document
10
The number of maximal sum free subsets of integers
... let m = n or m = n − 1, whichever is even. Let S consist of m together with precisely one number from each pair {x, m −x} for odd x < m/2. Then S is sum-free. Moreover, although S may not be maximal, no further ... See full document
67
Galois and Class Field Theory for Quantum Chemists
... prime number in the extension field; then, for each of the prime ideals obtained by the decomposition, it computes the Frobenius ...the number of the decomposed factors; it might be 1, 2, or ... See full document
12
Derivatives over Certain Finite Rings
... real number field, like: linearity; product and quotient rules and how it acts on polynomials and exponential ...the ring R as cyclically ordered set, which is very natural since R is a finite ... See full document
178
The Schur multiplier and capability of pairs of some finite groups
... The literature review of this research is provided in Chapter 2. The contribution of many researchers on the Schur multiplier of a group, nonabelian tensor product, Schur multiplier of a pair of groups, capability of a ... See full document
12
The Algebraic Combinatorial Approach for Low-Rank Matrix Completion
... novel algebraic combinatorial view on low-rank matrix completion based on studying relations between a few entries with tools from algebraic geometry and matroid ...an algebraic combinatorial ... See full document
5
Lower and upper bounds of number of zeros of random algebraic polynomials
... expected number of real zeros of an algebraic polynomial where the coefficients are real independent normally distributed random ...the number of level crossings rather than axis crossings, see ... See full document
117
The number of subsets of integers with no k term arithmetic progression
... For integers r and k, Erd˝os asked whether there is a set of integers S with no (k+1)- term arithmetic progression, but such that any r-coloring of S yields a monochromatic k-term arithmetic ... See full document
157
Integral Sequences of Infinite Length Whose Terms Are Relatively Prime
... tive integers m and n with if v is not congruent modulo p to 1 ...Elementary Number The- ory. Our second proof of Theorem 2 uses Algebraic Number Theory and Theory of Cyclotomic ... See full document
73
Numerical Bifurcation Theory for High Dimensional Neural Models
... bifurcation theory in general, but to demonstrate and review its use in the study of some models from the field of computational neu- roscience, in particular those that are high dimensional, resulting from ... See full document
50
ITRU: NTRU-based cryptosystem using ring of integers
... Abstract— NTRU is a public key cryptosystem whose structure is based on the polynomial ring of integers. We present ITRU, an NTRU-like cryptosystem based on the ring of integers. We discuss ... See full document
26
Three Fascinating Pairs
... Number theory along with Geometry [1] is one of the two oldest branches of ...Mathematics. Number theory, as a fundamental body of knowledge, has played a significant role in the development ... See full document
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