Macdonald's constant term conjectures for exceptional root systems

Macdonald's Constant Term Conjectures for Exceptional Root Systems

We announce proofs of Macdonald's constant term conjectures for the affine root systems S(F4) and S(F4) U . We also give an algorithm for deciding the conjectures for the remaining root systems S(E6), S(E7), and S(E%) and prove that the constant term in question can indeed be expressed in closed form. Combined with previous work of ZeilbergerBressoud, Kadell, and Gustafson, our results imply th...

EXACT ALGORITHMS FOR p-ADIC FIELDS AND EPSILON CONSTANT CONJECTURES

We develop several algorithms for computations in Galois extensions of p-adic fields. Our algorithms are based on existing algorithms for number fields and are exact in the sense that we do not need to consider approximations to p-adic numbers. As an application we describe an algorithmic approach to prove or disprove various conjectures for local and global epsilon constants.

channel estimation for mimo-ofdm systems

تخمین دقیق مشخصات کانال در سیستم های مخابراتی یک امر مهم محسوب می گردد. این امر به ویژه در کانال های بیسیم با ‏خاصیت فرکانس گزینی و زمان گزینی شدید، چالش بزرگی است. مقالات متعدد پر از روش های مبتکرانه ای برای طراحی و آنالیز ‏الگوریتم های تخمین کانال است که بیشتر آنها از روش های خاصی استفاده می کنند که یا دارای عملکرد خوب با پیچیدگی ‏محاسباتی بالا هستند و یا با عملکرد نه چندان خوب پیچیدگی پایینی...

Piecewise Constant Controlled Linear Fuzzy Systems

Exceptional Parameters for Generic A-Hypergeometric Systems

A-hypergeometric systems are systems of linear partial differential equations with polynomial coefficients that can be built out of a toric ideal and a parameter vector. Homogeneous toric ideals are themselves built out of combinatorial data, n distinct integer points lying in a hyperplane off the origin in d-dimensional space. We may assume that these points are the columns of a d×n integer ma...