ON RELATIONS BETWEEN CUBIC AND QUARTIC FIELDS
نویسندگان
چکیده
منابع مشابه
Analytic cubic and quartic force fields using density-functional theory.
We present the first analytic implementation of cubic and quartic force constants at the level of Kohn-Sham density-functional theory. The implementation is based on an open-ended formalism for the evaluation of energy derivatives in an atomic-orbital basis. The implementation relies on the availability of open-ended codes for evaluation of one- and two-electron integrals differentiated with re...
متن کاملDirichlet series associated to quartic fields with given cubic resolvent
Let k be a cubic field. We give an explicit formula for the Dirichlet series ∑ K |Disc(K)|−s, where the sum is over isomorphism classes of all quartic fields whose cubic resolvent field is isomorphic to k. Our work is a sequel to the unpublished preprint [12] whose results have been summarized in [7], so we include complete proofs so as not to rely on unpublished work. This is a companion paper...
متن کاملCubic-Quartic Functional Equation
and Applied Analysis 3 In 2008, Gordji et al. 17 provided the solution as well as the stability of a mixed type cubic-quartic functional equation. We only mention here the papers 19, 32, 33 concerning the stability of the mixed type functional equations. In this paper, we deal with the following general cubic-quartic functional equation: f ( x ky ) f ( x − ky) k2(f(x y) f(x − y)) 2 ( 1 − k2 ) f...
متن کاملturkish-israeli relations and their implication on iranian national security
this dissertation has six chapter and tree appendices. chapter 1 introduces the thesis proposal including description of problem, key questions, hypothesis, backgrounds and review of literature, research objectives, methodology and theoretical concepts (key terms) taken the literature and facilitate an understanding of national security, national interest and turkish- israeli relations concepts...
15 صفحه اولCubic and quartic congruences modulo a prime
Let p43 be a prime, and Npð f ðxÞÞ denote the number of solutions of the congruence f ðxÞ 0 ðmod pÞ: In this paper, using the third-order recurring sequences we determine the values of Npðx þ a1x þ a2x þ a3Þ and Npðx þ ax þ bx þ cÞ; and construct the solutions of the corresponding congruences, where a1; a2; a3; a; b; c are integers. r 2003 Elsevier Science (USA). All rights reserved. MSC: Prima...
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: The Quarterly Journal of Mathematics
سال: 1975
ISSN: 0033-5606,1464-3847
DOI: 10.1093/qmath/26.1.511