منابع مشابه
Group Cohomology of the Universal Ordinary Distribution
Abstract. For any odd squarefree integer r, we get complete description of the Gr = Gal(Q(μr)/Q) group cohomology of the universal ordinary distribution Ur in this paper. Moreover, if M is a fixed integer which divides l−1 for all prime factors l of r, we study the cohomology group H(Gr, Ur/MUr). In particular, we explain the mysterious construction of the elements κr′ for r |r in Rubin[10], wh...
متن کاملA Universal Ordinary Differential Equation
An astonishing fact was established by Lee A. Rubel in 81: there exists a fixed non-trivial fourthorder polynomial differential algebraic equation (DAE) such that for any positive continuous function φ on the reals, and for any positive continuous function (t), it has a C∞ solution with |y(t) − φ(t)| < (t) for all t. Lee A. Rubel provided an explicit example of such a polynomial DAE. Other exam...
متن کاملA double complex for computing the sign-cohomology of the universal ordinary distribution
3 The principal objects of study 17 3.1 The basic data (K, A, sgn ) . . . . . . . . . . . . . . . . . . . . 17 3.2 A-lattices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 3.3 The set Ξ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 3.4 The profinite group G . . . . . . . . . . . . . . . . . . . . . . 20 3.5 The sign group G∞ . . . . . . . . . . . . . . . . . . . . ...
متن کاملThe Miraculous Universal Distribution
What is it, exactly, that scientists do? How, exactly, do they do it? How is a scientific hypothesis formulated? How does one choose one hypothesis over another? It may be surprising that questions such as these are still discussed. Even more surprising, perhaps, is the fact that the discussion is still moving forward, that new ideas are still being added to the debate. Certainly most surprisin...
متن کاملOn the Universal Norm Distribution
We introduce and study the universal norm distribution in this paper, which generalizes the concepts of universal ordinary distribution and the universal Euler system. We study the Anderson type resolution of the universal norm distribution and then use this resolution to study the group cohomology of the universal norm distribution.
متن کاملذخیره 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: Bulletin de la Société mathématique de France
سال: 1979
ISSN: 0037-9484,2102-622X
DOI: 10.24033/bsmf.1891