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121.
Srinath Baba Kalyan Chakraborty Yiannis N. Petridis 《Proceedings of the American Mathematical Society》2002,130(9):2497-2502
We estimate the number of Fourier coefficients that determine a Hilbert modular cusp form of arbitrary weight and level. The method is spectral (Rayleigh quotient) and avoids the use of the maximum principle.
122.
Mechanical theorem proving in differential geometry 总被引:1,自引:0,他引:1
Hongbo Li 《中国科学A辑(英文版)》1997,40(4):350-356
An automated reasoning method, based on Wu’s method and calculus of differential forms, is proposed for mechanical theorem
proving in local theory of space surfaces in differential geometry. The method has been used to simplify one of Chem’s theorems:
“The non-trivial families of isometric surfaces having the same principal curvatures are W-surfaces.” Some other theorems
are also tested by this method. The proofs are generally simpler than those in differential geometry textbooks.
Project supported partially by the National Natural Science Foundation of China. 相似文献
123.
P. Guerzhoy 《The Ramanujan Journal》2006,12(3):349-358
Faber polynomials appear when weight zero Hecke operators act on the modular j-invariant. They are polynomials in j with rational integral coefficents. Using the theory of p-adic modular forms we establish some congruences and divisibilities for these coefficients.
2000 Mathematics Subject Classification Primary—11F33
Supported by NSF grant DMS-0501225. 相似文献
124.
125.
从4种典型裂纹情况的特征展开式出发,运用其微分性质和伪正交性质得到了含有高阶奇异项的J积分表达式.它们是通用的显函数表征的.本研究支持了Hui和Ruina的杰出研究和重要观点,即高阶奇异项和非奇异项一样在小范围屈服描述中扮演着重要角色.研究表明,常规柔度方法确定的J积分已隐含了高阶奇异项的贡献.断裂准则有可能由含高阶奇异项和非奇异项的J积分的临界值来描述 相似文献
126.
S. S. Dragomir 《Linear and Multilinear Algebra》2017,65(3):514-525
A Buzano type inequality for two nonnegative Hermitian forms is obtained. Applications to inequalities for norm and numerical radius of bounded linear operators in complex Hilbert spaces are given. 相似文献
127.
Smooth (C
) vector fields with linear symmetries and anti-symmetries are considered. We prove that provided symmetry group is compact then a smooth conjugacy in Sternberg–Chen Theorem can be chosen symmetric. 相似文献
128.
129.
The normal forms for time-periodic nonlinear variational equations witharbitrary linear Jordan form undergoing bifurcations of highco-dimension are found. First, the equations are transformed via theLyapunov–Floquet (L–F) transformation into an equivalent form in whichthe linear matrix is constant with degenerate nonsemisimple lineareigenvalues while the nonlinear monomials have periodic coefficients. Byconsidering the resulting coupling of the bases of the near identitytransformation, the solvability condition for an arbitrary Jordan matrixis then derived. It is shown that time-independent and/or time-dependentnonlinear resonance terms remain in the normal form for various Jordanmatrices. Specifically, the normal forms for quadratic and cubicnonlinearities with the following linear Jordan forms are explicitlyderived: double zero eigenvalues (co-dimension two bifurcation), triplezero eigenvalues (co-dimension three bifurcation), and two repeatedpairs of purely imaginary eigenvalues (co-dimension two bifurcation). Acommutative system with cubic nonlinearities and a double inverted pendulum with a periodicfollower force are used as illustrative examples. 相似文献
130.
Guoting?Chen Duo?WangEmail author Jiazhong?Yang 《Journal of Dynamics and Differential Equations》2005,17(1):3-20
Normal forms for vector fields of Hopf-zero singularity in R3 are studied. Multiple Lie bracket method is used to give unique normal forms under both conjugacy and orbital equivalence for such vector fields with a generic quadratic part.Dedicated to Professor Shui-Nee Chow on the occasion of his 60th birthday. 相似文献