Nesterenko’s criterion when the small linear forms oscillate
نویسندگان
چکیده
منابع مشابه
Nesterenko’s criterion when the small linear forms oscillate
In this paper we generalize Nesterenko’s criterion to the case where the small linear forms have an oscillating behaviour (for instance given by the saddle point method). This criterion provides both a lower bound for the dimension of the vector space spanned over the rationals by a family of real numbers, and a measure of simultaneous approximation to these numbers (namely, an upper bound for ...
متن کاملWhen do neutrinos cease to oscillate ?
In order to investigate when neutrinos cease to oscillate in the framework of quantum field theory, we have reexamined the wave packet treatment of neutrino oscillations by taking different sizes of the wave packets of the particles involved in the production and detection processes. The treatment is shown to be considerably simplified by using the Grimus–Stockinger theorem which enables us to ...
متن کاملMultilinear forms which are products of linear forms
The conditions under which, multilinear forms (the symmetric case and the non symmetric case),can be written as a product of linear forms, are considered. Also we generalize a result due to S.Kurepa for 2n-functionals in a group G.
متن کاملSmall Zeros of Quadratic Forms with Linear Conditions
where H here stands for height of x and F , respectively. This generalizes a well known result of Cassels [2] about the existence of small zeros of quadratic forms with rational coefficients to the existence of small zeros of quadratic polynomials with rational coefficients. We generalize Masser’s result in the following way. Let K be a number field of degree d over Q. Let the coefficients fij ...
متن کاملHow Does Calcium Oscillate?
Ca2+ is the most important second messenger in living cells serving as a critical link between a variety of extracellular stimuli and their intraand intercellular responses. The external signals are translated most often into repeated increases of the cytosolic Ca2+ concentration. Due to their importance and frequent appearance, Ca2+ oscillations have been extensively studied in experiments and...
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: Archiv der Mathematik
سال: 2012
ISSN: 0003-889X,1420-8938
DOI: 10.1007/s00013-011-0354-y