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. ...
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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
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...
This simplifies to:x′+y′+z′+w′=16 Step 2: Apply the stars and bars theoremNow, we need to find the number of non-negative integer solutions to the equation x′+y′+z′+w′=16. We can use the stars and bars theorem, which states that the number of ways to distribute n ...
T. Tambour, The number of solutions of some equations in finite groups and a new proof of Itos theorem, Commun. Algebra 28(11) (2000) 5353- 5362.T. Tambour. The number of solutions of some equations in finite groups and a new proof of ito's theorem. Comm. Algebra, 28:5353-5361, ...
Lachaud, Number of solutions of equations over finite fields and a conjecture of Lang and Weil. Number theory and discrete mathematics, 269-291, Birkh¨auser Basel, 2002.Ghorpade, S. R., Lachaud, G.: Number of solutions of equations over finite fields and a conjecture of Lang and Weil,...
57 PINK ISTVÁN_ NUMBER OF SOLUTIONS TO A SPECIAL TYPE OF UNIT EQUATIONS IN TWO UNKN 1:19:49 RUZSA IMRE_ HÉZAGOS BEURLING 51:34 ZÁBRÁDI GERGELY_ THE SUP-NORM PROBLEM FOR AUTOMORPHIC CUSP FORMS OF PGL(N,Z[I]), 1:40:34 EMMANUEL KOWALSKI_ SIDON SETS IN ALGEBRAIC GEOMETRY 1:...
According to an upper bound for the number of solutions of binary S-unit equations given by F. Beukers and H.P. Schlickewei [2], we have N(a,b,c)≤236, where N(a,b,c) denote the number of solutions (x,y,z) of (1). Recently, many papers investigated the exact value of N(...
Math Calculus Rolle's theorem Determine the number of solutions for the equation {eq}\cos(x)= x {/eq}.Question:Determine the number of solutions for the equation {eq}\cos(x)= x {/eq}.Transcedental EquationsA transcedental equation is an equation that cannot be solved analytically...