نتایج جستجو برای: cubic function
تعداد نتایج: 1233847 فیلتر نتایج به سال:
— Let X be a projective cubic hypersurface of dimension 11 or more, which is defined over Q. We show that X(Q) is non-empty provided that the cubic form defining X can be written as the sum of two forms that share no common variables.
1 Department of Mathematics, Nandalal Ghosh B.T. College, Panpur, P.O.-Narayanpur, District–North 24 Parganas, West Bengal 743126, India 2 Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, P.O.-Botanic Garden, Howrah, West Bengal 711103, India; [email protected] (S.D.); [email protected] (S.A.); [email protected] (T.K.R.) * Correspo...
We introduce the notion of orbital L-functions for the space of binary cubic forms and investigate their analytic properties. We study their functional equations and residue formulas in some detail. Aside from their intrinsic interest, the results from this paper are used to prove the existence of secondary terms in counting functions for cubic fields. This is worked out in a companion paper.
Theorem 3.2 in the paper is incorrect since the left-hand side of equation (15) in [2] is multiplicative while the right-hand side is not. Therefore, Theorem 5.2 and Table 1, which use the result of Theorem 3.2, are wrong. However, the description of a Siegel lattice (Theorem 4.4) is correct. From the description of a Siegel lattice, using the methods in [1], we can compute the values of ζK(−1)...
A Lagrangian description of a classical particle in a 9-dimensional flat Finslerian space with a cubic metric function is constructed. The general solution of equations of motion for such a particle is obtained. The Galilean law of inertia for the Finslerian space is confirmed.
We give a complete solution to a system of Diophantine equations related to a problem on the fundamental unit of a family of cubic fields.
We show that every connected cubic graph can be can be drawn in the plane with straight line edges using only four distinct slopes.
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