An Ehrhart polynomial for a dual polytope and the number of lattice points
نویسندگان
چکیده
منابع مشابه
The Ehrhart Polynomial of the Birkhoff Polytope
The n Birkhoff polytope is the set of all doubly stochastic n × n matrices, that is, those matrices with nonnegative real coefficients in which every row and column sums to one. A wide open problem concerns the volumes of these polytopes, which have been known for n ≤ 8. We present a new, complex-analytic way to compute the Ehrhart polynomial of the Birkhoff polytope, that is, the function coun...
متن کاملLattice Points, Dedekind Sums, and Ehrhart Polynomials of Lattice Polyhedra
Let σ be a simplex of RN with vertices in the integral lattice ZN . The number of lattice points of mσ (= {mα : α ∈ σ}) is a polynomial function L(σ,m) of m ≥ 0. In this paper we present: (i) a formula for the coefficients of the polynomial L(σ, t) in terms of the elementary symmetric functions; (ii) a hyperbolic cotangent expression for the generating functions of the sequence L(σ,m), m ≥ 0; (...
متن کاملnano-rods zno as an efficient catalyst for the synthesis of chromene phosphonates, direct amidation and formylation of amines
چکیده ندارد.
The minimum period of the Ehrhart quasi-polynomial of a rational polytope
If P ⊂ R is a rational polytope, then iP (n) := #(nP ∩Z ) is a quasipolynomial in n, called the Ehrhart quasi-polynomial of P . The period of iP (n) must divide D(P ) = min{n ∈ Z>0 : nP is an integral polytope}. Few examples are known where the period is not exactly D(P ). We show that for any D, there is a 2-dimensional triangle P such that D(P ) = D but such that the period of iP (n) is 1, th...
متن کاملthe innovation of a statistical model to estimate dependable rainfall (dr) and develop it for determination and classification of drought and wet years of iran
آب حاصل از بارش منبع تأمین نیازهای بی شمار جانداران به ویژه انسان است و هرگونه کاهش در کم و کیف آن مستقیماً حیات موجودات زنده را تحت تأثیر منفی قرار می دهد. نوسان سال به سال بارش از ویژگی های اساسی و بسیار مهم بارش های سالانه ایران محسوب می شود که آثار زیان بار آن در تمام عرصه های اقتصادی، اجتماعی و حتی سیاسی- امنیتی به نحوی منعکس می شود. چون میزان آب ناشی از بارش یکی از مولفه های اصلی برنامه ...
15 صفحه اولذخیره 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: IOSR Journal of Mathematics
سال: 2012
ISSN: 2319-765X,2278-5728
DOI: 10.9790/5728-0323236