Results 11 to 20 of about 501 (84)

Divisor Goldbach Conjecture and its Partition Number

, 2016
Based on the Goldbach conjecture and arithmetic fundamental theorem, the Goldbach conjecture was extended to more general situations, i.e., any positive integer can be written as summation of some specific prime numbers, which depends on the divisible factor of this integer, that is: For any positive integer $n~(n>2)$, if there exists an integer $m$,
Kun, Yan, Biao, Li Hou
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On Alternating and Symmetric Groups Which Are Quasi OD-Characterizable

, 2017
Let $\Gamma(G)$ be the prime graph associated with a finite group $G$ and $D(G)$ be the degree pattern of $G$. A finite group $G$ is said to be $k$-fold OD-characterizable if there exist exactly $k$ non-isomorphic groups $H$ such that $|H|=|G|$ and $D(H)=
Moghaddamfar, Ali Reza
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History of Catalan numbers [PDF]

, 2014
We give a brief history of Catalan numbers, from their first discovery in the 18th century to modern times. This note will appear as an appendix in Richard Stanley's forthcoming book on Catalan numbers.Comment: 10 ...
Pak, Igor
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The hyperbolic, the arithmetic and the quantum phase

, 2003
We develop a new approach of the quantum phase in an Hilbert space of finite dimension which is based on the relation between the physical concept of phase locking and mathematical concepts such as cyclotomy and the Ramanujan sums.
Planat, Michel, Rosu, Haret
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Every sufficiently large even number is the sum of two primes [PDF]

, 2019
The binary Goldbach conjecture asserts that every even integer greater than $4$ is the sum of two primes. In this paper, we prove that there exists an integer $K_\alpha$ such that every even integer $x > p_k^2$ can be expressed as the sum of two primes ...
Barca, Ricardo
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Fourier-Reflexive Partitions and MacWilliams Identities for Additive Codes [PDF]

, 2013
A partition of a finite abelian group gives rise to a dual partition on the character group via the Fourier transform. Properties of the dual partitions are investigated and a convenient test is given for the case that the bidual partition coincides the ...
Gluesing-Luerssen, Heide
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On Partitions of Goldbach's Conjecture

, 2000
An approximate formula for the partitions of Goldbach's Conjecture is derived using Prime Number Theorem and a heuristic probabilistic approach. A strong form of Goldbach's conjecture follows in the form of a lower bounding function for the partitions of Goldbach's conjecture.
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On the number of solutions of a restricted linear congruence

, 2017
Consider the linear congruence equation $${a_1^{s}x_1+\ldots+a_k^{s} x_k \equiv b\,(\text{mod } n^s)}\text { where } a_i,b\in\mathbb{Z},s\in\mathbb{N}$$ Denote by $(a,b)_s$ the largest $l^s\in\mathbb{N}$ which divides $a$ and $b$ simultaneously.
Namboothiri, K Vishnu
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Correlation of arithmetic functions over $\mathbb{F}_q[T]$

, 2019
For a fixed polynomial $\Delta$, we study the number of polynomials $f$ of degree $n$ over $\mathbb F_q$ such that $f$ and $f+\Delta$ are both irreducible, an $\mathbb F_q[T]$-analogue of the twin primes problem. In the large-$q$ limit, we obtain a lower-
Gorodetsky, Ofir, Sawin, Will
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Proposta di Dimostrazione della variante Riemann di Lagarias (RH1) equivalente all’Ipotesi di Riemann RH, con RH1 = RH. [PDF]

, 2007
Scopo del presente lavoro è quello di proporre una dimostrazione dell'Ipotesi di Riemann attraverso quella che tecnicamente viene definita "variante di Lagarias".
Di Noto, Francesco, Nardelli, Michele
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