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Rohit Ghosh 《Discrete Mathematics》2008,308(17):3824-3835
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Let V be a 6-dimensional vector space over a field , let f be a nondegenerate alternating bilinear form on V and let denote the symplectic group associated with . The group has a natural action on the third exterior power of V and this action defines five families of nonzero trivectors of V. Four of these families are orbits for any choice of the field . The orbits of the fifth family are in one-to-one correspondence with the quadratic extensions of that are contained in a fixed algebraic closure of . In this paper, we divide the orbits corresponding to the separable quadratic extensions into suborbits for the action of on . 相似文献
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Abdallah Derbal 《Comptes Rendus Mathematique》2005,340(4):255-258
Let the functions and be number of unitary divisors (see below) and number of divisors n in arithmetic progressions ; k and l are integers relatively prime such that and let, for where is Euler's totient. The function has been studied in [A. Derbal, A. Smati, C. A. Acad. Sci. Paris, Ser. I 339 (2004) 87–90]. In this Note we study the functions and . We give explicitly their maximal orders and we compute effectively the maximum of for and that of for . To cite this article: A. Derbal, C. R. Acad. Sci. Paris, Ser. I 340 (2005). 相似文献
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In this paper, we consider the following elliptic equation(0.1) where , , is differentiable in and is a given nonnegative Hölder continuous function in . The asymptotic behavior at infinity and structure of separation property of positive radial solutions with different initial data for (0.1) are discussed. Moreover, the existence and separation property of infinitely many positive solutions for Hardy equation and an equation related to Caffarelli–Kohn–Nirenberg inequality are obtained respectively, as special cases. 相似文献
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