We consider a diagonal equation, which can be reduced to the form[x_1^2+cdots+x_{n-2}^2+x_{n-1}^k+x_n^k=0,]over a finite field of characteristic p > 2. In 1997, Sun obtained the explicit formula for the number of solutions to an equation of this type when n is even. ...
ARIHANT MATHS-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise (Questions Asked In Previous 13 Years Exam) Number of solutions of the equation cot( theta ) + cot( theta +(pi)/(... 04:29 Let S={xepsilon(-pi,pi):x!=0,+pi/2}The sum of all distinct solutions ... 06:24 The number ...
The number of solutions of equations x+y-z=0,3x-y-z=0,x-3y+z=0 is 02:18 Solve the system of homogenous equations 3x+y-2z=0,x+y+z=0,x-2y+z=0 07:59 |(0, xyz,x-z),(y-z,0,y-z),(z-x, z-y,0)|=... 02:17 रैखिक समीकरण नि...
Chen, S. and Li, N. (2007). On a Conjecture about the Number of Solutions to Linear Diophantine Equations with a Positive Integer Parameter. Available at http://www.citebase.org/abstract?id=oai:arXiv.org:0710.0177On a Conjecture about the Number of Solutions to Linear Diophantine Equations...
We then use this approach to obtain sharp bounds for the number of solutions to certain families of polynomial-exponential Diophantine equations. In particular, we answer a question of Beukers on the maximal number of solutions of the equation x2 + D = pn where D is a nonzero integer and ...
百度试题 结果1 题目Determine the number of solutions to the following simultaneous equations.y=3x2-7x+3y=1-2r 相关知识点: 试题来源: 解析 2 反馈 收藏
The last section of Chapter Two is an exploration of different methods of proofs. The third chapter is dedicated to solving Diophantine linear and nonlinear equations and includes different methods of solving Fermat’s (Pell’s) equations. It also covers Fermat’s factorization techniques and ...
View PDFView articleView in ScopusGoogle Scholar [14] H. Wang, On the structure of positive radial solutions for quasilinear equations in annular domains, Adv. Differential Equations, in press Google Scholar [15] H. Wang, On the existence, multiplicity and nonexistence of positive solutions of ...
The number of solutions of the system of equations "Re(z^(2))=0, |z|=2... 03:36 समीकरण z^(2)+bar(z)=0 के हलो की संख्या है - 04:27 If a complex number z is such that (7 +i)(z + bar(z))-(4+i)(z-bar(z...
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