首页 | 本学科首页   官方微博 | 高级检索  
相似文献
 共查询到20条相似文献，搜索用时 15 毫秒
1.
We consider the Weil elliptic curve E/ℚ and let be its canonical L-series. Admitting the Birch-Swinnerton-Dyer conjecture and fixing the curve E, a criterion is given for the finiteness of the group ED(ℚ) for twisted elliptic curves ED, defined by the condition
  相似文献   

2.
In this paper, sufficient conditions have been obtained under which every solution of
, oscillates or tends to zero or to ±∞ → ∞. Usually these conditions are stronger than
. An example is given to show that the condition (*) is not enough to arrive at the above conclusion. Existence of a positive (or negative) solution of
is considered.  相似文献   

3.
A theorem is proved about the nondegeneracy and bijective nature of the mapping
where {Ei}, i=1, ..., 2g+1, are branching points of the hyperelliptic curve Γ that corresponds to finite-gap solutions of the KdV equation; V, W are frequency vectors; c is the average value of the potential ug(x,t):
. Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 210, 1994, pp. 47–56. Translated by R. F. Bikbaev.  相似文献   

4.
In the paper, we study the sufficient conditions for the lower-order coefficient of the parabolic equation
under which its solution satisfying the initial condition
stabilizes to zero, i.e., there exists the limit
uniform in x from every compact set K in ℝN for any function u 0(x) belonging to a certain uniqueness class of the problem considered and growing not rapidly than with a > 0 and b < 0 at infinity. __________ Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 12, No. 4, pp. 79–97, 2006.  相似文献   

5.
In the case 1≤p<q≤∞, the question on the exact constant in the embedding of the space W p 1 (0,1) into the space Lq(0,1) is studied, i.e.,
where the norm is defined by the equality . Bibliography: 5 titles. Translated fromProblemy Matematicheskogo Analiza, No. 19, 1999, pp. 149–163.  相似文献   

6.
In this paper we study the zeta-function
  相似文献   

7.
We consider the asymptotic behavior of the solution of a nonhomogeneous integral equation for a threedimensional density with a right-hand side and kernel qp(α), where is the density of a stable (in Lévy's sense) distribution. We demonstrate that the solution is of an asymptotically fractal nature, i.e.
for q=1, α<2, and the fractal dimensionality D coincides with the characteristic of the stable law α. Proceedings of the Seminar on Stability Problems for Stochastic Models, Moscow, Russia, 1996, Part I.  相似文献   

8.
In the complex Grassmann manifold ℱ(m,n), the space of complexn-planes passes through the origin of Cm+n; the local coordinate of the space can be arranged into anm ×n matrixZ. It is proved that
is a U(m)-connection of ℱ(m,n) and its curvature form
satisfies the Yang-Mills equation. Moreover,
is an (Sum)-connection and its curvature form
satisfies the Yang-Mills equation. Project partially supported by the National Natural Science Foundation of China (Grant No. 19631010) and Fundamental Research Bureau of CAS.  相似文献   

9.
We obtain new exact inequalities of the form
for functions defined on the axis R or the semiaxis R + in the case where
for functions defined on the axis R in the case where
and for functions of constant sign on R or R + in the case where
and in the case where
. __________ Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, No. 3, pp. 291–302, March, 2006.  相似文献   

10.
Let Hi, i=0,1,2,3, be Hilbert spaces forming a sequence of compact imbeddings
  相似文献   

11.
Let f(z) be a holomorphic Hecke eigencuspform of even weight k with respect to SL(2, Z) and let L(s, sym 2 f) = ∑ n=1 ∞ cnn−s, Re s > 1, be the symmetric square L-function associated with f. Represent the Riesz mean (ρ ≥ 0)
as the sum of the “residue function” Γ(ρ+1)−1 Ł(0, sym2f)xρ and the “error term”
. Using the Voronoi formula for Δρ(x;sym 2f), obtained earlier (see Zap. Nauchn. Semin. POMI. 314, 247–256 (2004)), the integral
is estimated. In this way, an asymptotics for 0 < ρ ≤ 1 and an upper bound for ρ = 0 are obtained. Also the existence of a limiting distribution for the function
, and, as a corollary, for the function
, is established. Bibliography: 12 titles. Dedicated to the 100th anniversary of G. M. Goluzin’s birthday __________ Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 337, 2006, pp. 274–286.  相似文献   

12.
A trace formula expressing the mean values of the form (k=2,3,...)
via certain arithmetic means on the group Г0(N1) is proved. Here the sum is taken over a normalized orthogonal basis in the space of holomorphic cusp forms of weight 2k with respect to Г0(N1). By H f (x) (s) we denote the Hecke series of the form f, twisted with the primitive character χ (mod N2), and λf(d), (d, N1N2)=1, are the eigenvalues of the Hecke operators
. The trace formula is used for obtaining the estimate
for the newform f for all ε>0, l=0,1,2,.... This improves the known result (Duke-Friedlander-Iwaniec, 1993) with upper bound (1+|t|)2N 2 1/2−1/22+ε on the right-hand side. As a corollary, we obtain the estimate
for the Fourier coefficients of holomorphic cusp forms of weight k+1/2, which improves Iwaniec' result (1987) with exponent 1/4–1/28+ε. Bibliography: 25 titles. Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 226, 1996, pp. 14–36.  相似文献   

13.
Let Δ(x) denote the error term in the Dirichlet divisor problem, and E(T) the error term in the asymptotic formula for the mean square of . If E *(t)=E(t)-2πΔ*(t/2π) with , then we obtain
and
It is also shown how bounds for moments of | E *(t)| lead to bounds for moments of .  相似文献   

14.
The set of increments of the Wiener process
, where aT∈(0,T) and LT=(2[log(T/aT)+loglogT])1/2 is considered. Under the assumptionlog(T/aT)/loglogT→c, the set VT oscillates between b , and , where b=[c/(c+1)]1/2 and is the Strassen ball. Bibliography: 9 titles. Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 216, 1994, pp. 33–41.  相似文献   

15.
Let the coordinatex=(x 0,x 1,x 2,x 3) of the Minkowski spaceM 4 be arranged into a matrix
Then the Minkowski metric can be written as
. Imbed the space of 2 × 2 Hermitian matrices into the complex Grassmann manifoldF(2,2), the space of complex 4-planes passing through the origin ofC 2×4. The closure ofM 4 inF(2,2) is the compactification ofM 4. It is known that the conformal group acts on . It has already been proved that onF(2,2) there is anSu(2)-connection
whereZ is a 2 × 2 complex matrix andZ †the complex conjugate and transposed matrix ofZ. Restrict this connection to
which is anSu(2)-connection on . It is proved that its curvature form
satisfies the Yang-Mills equation
. Project partially supported by the National Natural Science Foundation of China (Grant No. 19131010) and Fundamental Research Bureau of CAS.  相似文献   

16.
We consider the following Hamiltonian system:
  相似文献   

17.
The solvability of the Cauchy problem is proved for the Korteweg-de Vries equation and similar equations in the space of C-functions for which
  相似文献   

18.
A generalization of the Riemann zeta-function which has the form
  相似文献   

19.
An existence theorem is proved for closed convex surfaces whose principal radii of curvature regarded as functions of the unit normal vectorn satisfy the equation
  相似文献   

20.
中立型二阶非线性微分方程振动性的判据   总被引：7，自引：0，他引：7  
Abstract. In this paper ,the oscillation criteria for the solutions of the nonlinear differential e-quations of neutral type of the forms:  相似文献   

设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号