Zobrazeno 1 - 10
of 960
pro vyhledávání: '"Square-free integer"'
Autor:
Yuchen Ding, Guang-Liang Zhou
Publikováno v:
Journal of Number Theory. 236:308-322
Square-free values of polynomials had been studied by various authors, including Estermann, Heath-Brown and Hooley. For 1 ≤ x , y ≤ H , Tolev proved that the number of the square-free values attained by the polynomial x 2 + y 2 + 1 has the asympt
Publikováno v:
Journal of Number Theory. 236:349-387
For all Eichler orders with a same squarefree level in a definite quaternion algebra over the field of rational numbers, we prove that a weighted sum of Jacobi theta series associated to these orders is a Jacobi Eisenstein series. Multiply the Fourie
Publikováno v:
Algebra Colloquium. 28:645-654
In this paper, we present a complete list of connected arc-transitive graphs of square-free order with valency 11. The list includes the complete bipartite graph [Formula: see text], the normal Cayley graphs of dihedral groups and the graphs associat
Autor:
Lhoussain El Fadil
Publikováno v:
Journal of Number Theory. 228:375-389
In all available papers, on power integral bases of any pure sextic number fields K generated by a complex root α of a monic irreducible polynomial f ( x ) = x 6 − m ∈ Z [ x ] , it was assumed that the rational integer m ≠ ∓ 1 is square free
Publikováno v:
Journal of Algebraic Combinatorics. 55:1063-1083
A finite simple graph is called a k-multicirculant if its automorphism group contains a cyclic semiregular subgroup having k orbits on the vertex set. It was shown by Giudici et al. that, if k is squarefree and coprime to 6, then a cubic arc-transiti
Autor:
Derek Hanely, Benjamin Braun
Publikováno v:
Annals of Combinatorics. 25:935-960
For each integer partition $$\mathbf {q}$$ with d parts, we denote by $$\Delta _{(1,\mathbf {q})}$$ the lattice simplex obtained as the convex hull in $$\mathbb {R}^d$$ of the standard basis vectors along with the vector $$-\mathbf {q}$$ . For $$\mat
Autor:
Qinghua Pi, Zhi Qi
Publikováno v:
Proceedings of the American Mathematical Society. 149:5035-5047
Let $H^{\pm}_{2k} (N^3)$ denote the set of modular newforms of cubic level $N^3$, weight $2 k$, and root number $\pm 1$. For $N > 1$ squarefree and $k>1$, we use an analytic method to establish neat and explicit formulas for the difference $|H^{+}_{2
Publikováno v:
Bulletin of the Australian Mathematical Society. 105:217-222
Using a method due to Rieger [‘Remark on a paper of Stux concerning squarefree numbers in non-linear sequences’, Pacific J. Math.78(1) (1978), 241–242], we prove that the Piatetski-Shapiro sequence defined by $\{\lfloor n^c \rfloor : n\in \math
Autor:
Tomos Parry
Publikováno v:
Journal de Théorie des Nombres de Bordeaux. 33:317-360
An asymptotic formula for the variance of squarefree numbers in arithmetic progressions of given modulus was obtained by Nunes (see reference [3]). We improve one of the error terms.
Comment: Published with important revisions in Journal de Th\'
Comment: Published with important revisions in Journal de Th\'
Autor:
Prashanth Sridhar
Publikováno v:
Journal of Algebra. 582:100-116
Let $S$ be an unramified regular local ring of mixed characteristic two and $R$ the integral closure of $S$ in a biquadratic extension of its quotient field obtained by adjoining roots of sufficiently general square free elements $f,g\in S$. Let $S^2