共查询到20条相似文献,搜索用时 31 毫秒
1.
The Ramanujan Journal - Let k, l be non-negative integers and $$\zeta ^{(k)}(s)$$ denote the kth derivative of the Riemann zeta function $$\zeta (s).$$ Further let $$d_{(k,l)}(n)$$ be the nth... 相似文献
2.
da Silva Robson de Oliveira Kelvin Souza da Graça Neto Almir Cunha 《The Ramanujan Journal》2019,49(1):105-113
The Ramanujan Journal - In a recent work by Andrews, Dixit, and Yee the partition functions $$p_{\omega }(n)$$ and $$p_{\nu }(n)$$ were introduced in connection with the third order mock theta... 相似文献
3.
Designs, Codes and Cryptography - In this paper, we study the flag-transitive automorphism groups of 2-designs and prove that if G is a flag-transitive automorphism group of a 2-design $$\mathcal... 相似文献
4.
Applied Categorical Structures - Let $$\mathscr {C}$$ be a 2-Calabi–Yau triangulated category with two cluster tilting subcategories $$\mathscr {T}$$ and $$\mathscr {U}$$ . A result from... 相似文献
5.
Theoretical and Mathematical Physics - We study the dynamics of explicit solutions of the $$(2+1)$$ -dimensional (2D) sine-Gordon equation. The Darboux transformation is applied to the associated... 相似文献
6.
Ding Cunsheng Tang Chunming Tonchev Vladimir D. 《Designs, Codes and Cryptography》2021,89(7):1713-1734
Designs, Codes and Cryptography - Let $$q=2^m$$ . The projective general linear group $${\mathrm {PGL}}(2,q)$$ acts as a 3-transitive permutation group on the set of points of the projective line.... 相似文献
7.
Boundary properties of first-order partial derivatives of the Poisson integral are studied in the half-space
. 相似文献
8.
Theoretical and Mathematical Physics - Several $$(2+1)$$ -dimensional integrable coupling systems are derived from two sets of auxiliary linear problems, including the integrable coupling system of... 相似文献
9.
Let A and k be positive integers. We study the Diophantine quadruples $$ \{ k,A^2 k + 2A,(A + 1)^2 k + 2(A + 1),d\} $$ . We prove that if d is a positive integer such that the product of any two distinct elements of the set increased by 1 is a perfect square, then $$ \begin{gathered} d = (4A^4 + 8A^3 + 4A^2 )k^3 + (16A^3 + 24A^2 + 8A)k^2 \hfill \\ + (20A^2 + 20A + 4)k + (8A + 4) \hfill \\ \end{gathered} $$ when 3 ≦ A ≦ 10. This extends a theorem obtained by Dujella [7] for A = 1, and also, a classical theorem of Baker and Davenport [2] for A = k = 1. 相似文献
10.
The packing chromatic number
$$\chi _{\rho }(G)$$ 相似文献
11.
Theoretical and Mathematical Physics - A remarkable method for investigating solutions of nonlinear soliton equation is the $$\bar\partial$$ -dressing method. Although there are other methods that... 相似文献
12.
Let \(a_{\ell ,m}(n)\) denote the number of \((\ell ,m)\)-regular partitions of a positive integer n into distinct parts, where \(\ell \) and m are relatively primes. In this paper, we establish several infinite families of congruences modulo 2 for \(a_{3,5}(n)\). For example, where \(\alpha , \beta \ge 0\).
相似文献
$$\begin{aligned} a_{3, 5}\left(2^{6\alpha +4}5^{2\beta }n+\frac{ 2^{6\alpha +3}5^{2\beta +1}-1}{3}\right) \equiv 0 , \end{aligned}$$
13.
Aequationes mathematicae - The notion of $$(m,M,\Psi )$$ -Schur-convexity is introduced and functions generating $$(m,M,\Psi )$$ -Schur-convex sums are investigated. An extension of the... 相似文献
14.
Doklady Mathematics - Let $$\zeta (s)$$ and $$\beta (s)$$ be the Riemann zeta function and the Dirichlet beta function. The formulas for calculating the values of $$\zeta (2m)$$ and $$\beta (2m -... 相似文献
15.
A. S. Kondrat’ev 《中国科学A辑(英文版)》2009,52(2):293-300
Abstract It is proved that a finite group with the same set of element orders as the simple group is isomorphic to .
This work was supported by Russian Foundation for Basic Research (Grant No. 07-01-00148), RFBR-BRFBR (Grant No. 08-01-90006)
and RFBR-GFEN (Grant No. 08-01-92200) 相似文献
16.
Dvid Kunszenti-Kovcs 《Archiv der Mathematik》2019,112(2):205-212
Extending a result by Chilin and Litvinov, we show by construction that given any
$$\sigma $$
-finite infinite measure space
$$(\Omega ,\mathcal {A}, \mu )$$
and a function
$$f\in L^1(\Omega )+L^\infty (\Omega )$$
with
$$\mu (\{|f|>\varepsilon \})=\infty $$
for some
$$\varepsilon >0$$
, there exists a Dunford–Schwartz operator T over
$$(\Omega ,\mathcal {A}, \mu )$$
such that
$$\frac{1}{N}\sum _{n=1}^N (T^nf)(x)$$
fails to converge for almost every
$$x\in \Omega $$
. In addition, for each operator we construct, the set of functions for which pointwise convergence fails almost everywhere is residual in
$$L^1(\Omega )+L^\infty (\Omega )$$
. 相似文献
17.
Mathematical Notes - The Hosoya index is an important topological index of graphs defined as the number of their matchings. At present, for any $$ n $$ and $$ k \in \{- 1,0,1,2 \}$$ , all connected... 相似文献
18.
Mediterranean Journal of Mathematics - Given a real number $${\alpha}$$ , we aim at computing the best rational approximation with at most $${k}$$ digits and with exactly $${k}$$ digits at the... 相似文献
19.
Mathematical Notes - In this paper, two Cauchy problems that contain different nonlinearities $$|u|^q$$ and $$(\partial/\partial t)|u|^q$$ are studied. The differential operator in these problems... 相似文献
20.
Stevo Stević 《Journal of Applied Mathematics and Computing》2007,24(1-2):295-303
In this paper we investigate the boundedness character of the positive solutions of the rational difference equation of the form $$x_{n + 1} = \frac{{a_0 + \sum\nolimits_{j = 1}^k {a_j x_{n - j + 1} } }}{{b_0 + \sum\nolimits_{j = 1}^k {b_j x_{n - j + 1} } }}, n = 0,1,...$$ where k ε N, andaj,bj, j = 0,1,…, k, are nonnegative numbers such thatb 0+∑ j=1 k b j x n-j+1>0 for everyn ∈N ∪{0}. In passing we confirm several conjectures recently posed in the paper: E. Camouzis, G. Ladas and E. P. Quinn, On third order rational difference equations (part 6). 相似文献