Motivated by recent results on the Waring problem for polynomial rings [4] and representation of monomial as sum of powers of linear forms [3], we consider the problem of presenting monomials of degree kd as sums of kth-powers of forms of degree d. We produce a general bound on the number of summands for any number of variables which we refine in the two variables case. We completely solve the k = 3 case for monomials in two and three variables
AbstractWe introduce a technique to determine a lower bound on the number of monomials of degree d −...
AbstractIn this paper we compute the Waring rank of any polynomial of the form F=∑i=1rMi, where the ...
A Waring decomposition of a polynomial is an expression of the polynomial as a sum of powers of line...
Motivated by recent results on the Waring problem for polynomial rings [4] and representation of mon...
Motivated by recent results on the Waring problem for polynomial rings and representation of monomia...
Motivated by recent results on the Waring problem for polynomial rings and representation of monomia...
In this paper we compute the Waring rank of any polynomial of the form F=M1+...+Mr, where the Mi a...
In this paper we compute the Waring rank of any polynomial of the form , F=M1+...+Mr, where the Mi a...
AbstractIn this paper we compute the Waring rank of any polynomial of the form F=∑i=1rMi, where the ...
International audienceLet $f$ be a homogeneous form of degree d in n variables. A Waring decompositi...
Let f be a homogeneous form of degree d in n variables. A Waring decomposition of f is a way to expr...
Let f be a homogeneous form of degree d in n variables. A Waring decomposition of f is a way to expr...
Let f be a homogeneous form of degree d in n variables. A Waring decomposition of f is a way to expr...
Let f be a homogeneous form of degree d in n variables. A Waring decomposition of f is a way to expr...
This book treats the theory of representations of homogeneous polynomials as sums of powers of linea...
AbstractWe introduce a technique to determine a lower bound on the number of monomials of degree d −...
AbstractIn this paper we compute the Waring rank of any polynomial of the form F=∑i=1rMi, where the ...
A Waring decomposition of a polynomial is an expression of the polynomial as a sum of powers of line...
Motivated by recent results on the Waring problem for polynomial rings [4] and representation of mon...
Motivated by recent results on the Waring problem for polynomial rings and representation of monomia...
Motivated by recent results on the Waring problem for polynomial rings and representation of monomia...
In this paper we compute the Waring rank of any polynomial of the form F=M1+...+Mr, where the Mi a...
In this paper we compute the Waring rank of any polynomial of the form , F=M1+...+Mr, where the Mi a...
AbstractIn this paper we compute the Waring rank of any polynomial of the form F=∑i=1rMi, where the ...
International audienceLet $f$ be a homogeneous form of degree d in n variables. A Waring decompositi...
Let f be a homogeneous form of degree d in n variables. A Waring decomposition of f is a way to expr...
Let f be a homogeneous form of degree d in n variables. A Waring decomposition of f is a way to expr...
Let f be a homogeneous form of degree d in n variables. A Waring decomposition of f is a way to expr...
Let f be a homogeneous form of degree d in n variables. A Waring decomposition of f is a way to expr...
This book treats the theory of representations of homogeneous polynomials as sums of powers of linea...
AbstractWe introduce a technique to determine a lower bound on the number of monomials of degree d −...
AbstractIn this paper we compute the Waring rank of any polynomial of the form F=∑i=1rMi, where the ...
A Waring decomposition of a polynomial is an expression of the polynomial as a sum of powers of line...
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