We consider the set of polynomials in r indeterminates over a "nite "eld and with bounded degree. We give here a way to count the number of elements of some of its subsets, namely those sets de"ned by the multiplicities of their elements at some points of %P O . The number of polynomials having at l
β¦ LIBER β¦
Zeros of Graph-Counting Polynomials
β Scribed by David Ruelle
- Book ID
- 105904615
- Publisher
- Springer
- Year
- 1999
- Tongue
- English
- Weight
- 119 KB
- Volume
- 200
- Category
- Article
- ISSN
- 0010-3616
No coin nor oath required. For personal study only.
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It is well known that, over a division ring, every zero of a polynomial f(x) = (:rxl) β’.. (x -xn) is congruent to Xr for some r. In this note, we show further that, over the quaternion field, there exists at least one quaternion qr congruent to each x~, and that, through this result, a constructive