On Wendt's determinant

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On Wendt's determinant

Wendt’s determinant of order m is the circulant determinant Wm whose (i, j)-th entry is the binomial coefficient ( m |i−j| ) , for 1 ≤ i, j ≤ m. We give a formula for Wm, when m is even not divisible by 6, in terms of the discriminant of a polynomial Tm+1, with rational coefficients, associated to (X + 1)m+1 −Xm+1 − 1. In particular, when m = p − 1 where p is a prime ≡ −1 (mod 6), this yields a...

متن کامل

Determinant Functors on Triangulated Categories

We study determinant functors which are defined on a triangulated category and take values in a Picard category. The two main results are the existence of a universal determinant functor for every small triangulated category, and a comparison theorem for determinant functors on a triangulated category with a non-degenerate bounded t-structure and determinant functors on its heart. For a small t...

متن کامل

More calculations on determinant evaluations

The purpose of this article is to prove several evaluations of determinants of matrices, the entries of which are given by the recurrence ai,j = ai−1,j−1+ai−1,j , i, j ≥ 2, with various choices for the first row a1,j and first column ai,1.

متن کامل

Note on Hadamard's Determinant Theorem

Introduction. We shall call a square matrix A of order n an Hadamard matrix or for brevity an iî-matrix, if each element of A has the value ± 1 and if the determinant of A has the maximum possible value w. It is known that such a matrix A is an iï-matrix [ l] if, and only if, AA'~nEn where A f is the transpose of A and En is the unit matrix of order n. It is also known that, if an iï-matrix of ...

متن کامل

Notes on the universal determinant bundle

1.1 (Fredholm operators). Let X, Y be real Banach spaces and denote their dual spaces by X, Y . A bounded linear operator D : X → Y is called Fredholm if it has a closed image and if its kernel and cokernel (the quotient space Y/imD) are finite dimensional. Equivalently, there exists a bounded linear operator T : Y → X such that the operators TD− idX and DT − idY are compact. The Fredholm index...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Mathematics of Computation

سال: 1997

ISSN: 0025-5718

DOI: 10.1090/s0025-5718-97-00870-3