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Alternatively, we can prove a result along the lines of Theorem 3.1 using results on integral points of bounded degree on curves.. Here φ is Euler’s
In Section 5 we use Theorem 4.1 to prove that if an elemen- tary p-group and an elementary q-group have the same system of sets of lengths, then they are, apart from one already
that this conjecture is not true in general for matrices with minimal rank equal to three and for matrices of size n n , n 6.. In this paper we prove that this conjecture is true
We prove Zhan’s conjecture, and a related inequality for positive semidefinite matrices, using standard facts about principal submatrices, Kronecker products, and the spectral
Among the trees with a fixed maximum degree ∆, we prove that the broom B n, ∆ (consisting of a star S ∆+1 and a path of length n − ∆ − 1 attached to an arbitrary pendent vertex
We then consider generalized quadratic variations of Gaussian fields with stationary increments under the assumption that their spectral density is asymptotically self-similar and
The aim of this paper is to prove that the open set Γ is con- nected using the ideas introduced in the proof of the one-dimensional case, and assuming weak regularity assumptions on
We discuss Toeplitz operators in K¨ ahler geometry, with applications to geometric quantization, and review some recent developments.. Key words: K¨ ahler manifolds; holomorphic
