beta
Probrano po
3.527 (11-20)
NaslovTotally real Thue inequalities over imaginary quadratic fields : an improvement / István Gaál, Borka Jadrijević, László Remete.
Način izrade datotekeizvorno digitalna građa
Vrstačlanak
OpisIn this paper we significantly improve our previous results of reducing relative Thue inequalities to absolute ones.
rrep
11
NaslovA note on the exponential Diophantine equation (A 2n) x+(B 2n) y=((A 2+B 2)n) z / Maohua Le, Gökhan Soydan.
Način izrade datotekeizvorno digitalna građa
Vrstačlanak
OpisLet A, B be positive integers such that min{A,B}>1, gcd(A,B) = 1 and 2|B. In this paper, using an upper bound for solutions of ternary purely exponential Diophantine equations due to R. Scott and R. Styer, we prove that, for any positive integer n, if A >B3/8, then the equation (A2 n)x + (B2 n)y = ((A2 + B2)n)z has no positive integer solutions (x,y,z) with x >z >y; if B>A3/6, then it has no solutions (x,y,z) with y>z>x. Thus, combining the above conclusion with some existing results, we can deduce that, for any positive integer n, if B ≡ 2 (mod 4) and A >B3/8, then this equation has only the positive integer solution (x,y,z)=(1,1,1).
rrep
12
NaslovOn representations of reductive p-adic groups over Q-algebras / Goran Muić.
Način izrade datotekeizvorno digitalna građa
Vrstačlanak
OpisIn this paper we study certain category of smooth modules for reductive p-adic groups analogous to the usual smooth complex representations but with the field of complex numbers replaced by a ℚ-algebra. We prove some fundamental results in these settings, and as an example we give a classification of admissible unramified irreducible representations using the reduction to the complex case.
rrep
13
NaslovHigh rank elliptic curves induced by rational Diophantine triples / Andrej Dujella, Juan Carlos Peral.
Način izrade datotekeizvorno digitalna građa
Vrstačlanak
OpisA rational Diophantine triple is a set of three nonzero rational a,b,c with the property that ab+1, ac+1, bc+1 are perfect squares. We say that the elliptic curve y2 = (ax+1)(bx+1)(cx+1) is induced by the triple {a,b,c}. In this paper, we describe a new method for construction of elliptic curves over ℚ with reasonably high rank based on a parametrization of rational Diophantine triples. In particular, we construct an elliptic curve induced by a rational Diophantine triple with rank equal to 12, and an infinite family of such curves with rank ≥ 7, which are both the current records for that kind of curves.
rrep
14
NaslovDirichlet product and the multiple Dirichlet series over function fields / Yoshinori Hamahata.
Način izrade datotekeizvorno digitalna građa
Vrstačlanak
OpisWe define the Dirichlet product for multiple arithmetic functions over function fields and consider the ring of the multiple Dirichlet series over function fields. We apply our results to absolutely convergent multiple Dirichlet series and obtain some zero-free regions for them.
rrep
15
NaslovFurther results on common properties of the products ac and bd / Qingping Zeng, Kai Yan, Zhenying Wu.
Način izrade datotekeizvorno digitalna građa
Vrstačlanak
OpisIn this paper, we continue to investigate common properties of the products ac and bd in various categories under the assumption acd=dbd and dba=aca. These properties include generalized strongly Drazin invertibility and generalized Hirano invertibility in rings, abstract index of Fredholm elements and B-Fredholm elements in the Banach algebra context, complementability of kernels and ranges for bounded linear operators on Banach spaces.
rrep
16
NaslovPermutation orbifolds of sl_2 vertex operator algebras / Antun Milas, Michael Penn.
Način izrade datotekeizvorno digitalna građa
Vrstačlanak
OpisWe analyze two types of permutation orbifolds: (i) S2-orbifolds of the universal level k vertex operator algebra Vk(sl2) and of its simple quotient Lk(sl2), and (ii) the S3-orbifold of the level one simple vertex operator algebra L1(sl2). We determine their structures and discuss related W-algebras.
rrep
17
NaslovThe minimally displaced set of an irreducible automorphism is locally finite / Stefano Francaviglia, Armando Martino, Dionysios Syrigos.
Način izrade datotekeizvorno digitalna građa
Vrstačlanak
OpisWe prove that the minimally displaced set of a relatively irreducible automorphism of a free splitting, situated in a deformation space, is uniformly locally finite. The minimally displaced set coincides with the train track points for an irreducible automorphism. We develop the theory in a general setting of deformation spaces of free products, having in mind the study of the action of reducible automorphisms of a free group on the simplicial bordification of Outer Space. For instance, a reducible automorphism will have invariant free factors, act on the corresponding stratum of the bordification, and in that deformation space it may be irreducible (sometimes this is referred as relative irreducibility).
rrep
18
NaslovTangentials in cubic structures / Vladimir Volenec, Zdenka Kolar-Begović, Ružica Kolar-Šuper.
Način izrade datotekeizvorno digitalna građa
Vrstačlanak
OpisIn this paper we study geometric concepts in a general cubic structure. The well-known relationships on the cubic curve motivate us to introduce new concepts into a general cubic structure. We will define the concept of the tangential of a point in a general cubic structure and we will study tangentials of higher-order. The characterization of this concept will be also given by means of the associated totally symmetric quasigroup. We will introduce the concept of associated and corresponding points in a cubic structure, and discuss the number of mutually different corresponding points. The properties of the introduced geometric concepts will be investigated in a general cubic structure.
rrep
19
NaslovPartial qualitative analysis of planar A_Q-Riccati equations / Borut Zalar, Brigita Ferčec, Yilei Tang, Matej Mencinger.
Način izrade datotekeizvorno digitalna građa
Vrstačlanak
OpisIf we view the field of complex numbers as a 2-dimensional commutative real algebra, we can consider the differential equation z′=az2+bz+c as a particular case of A− Riccati equations z′=a⋅(z⋅z)+b⋅z+c where A=(Rn,⋅) is a commutative, possibly nonassociative algebra, a,b,c∈A and z:I→A is defined on some nontrivial real interval. In the case A=C, the nature of (at most two) critical points can be described using purely algebraic conditions involving involution ∗ of C. In the present paper we study the critical points of L(π)− Riccati equations, where L(π) is the limit case of the so-called family of planar Lyapunov algebras, which characterize 2-dimensional homogeneous systems of quadratic ODEs with stable origin. The number of possible critical points is 1, 3 or ∞, depending on coefficients. The nature of critical points is also completely described. Finally, simultaneous stability of the origin is considered for homogeneous quadratic part corresponding to algebras L(θ).
rrep
20
3.527 (11-20)