DOIAbstract
AbstractWe show that all p-adic quintic forms in at least n>4562911 variables have a non-trivial zero. We also derive a new result concerning systems of cubic and quadratic forms
AbstractWe show that all p-adic quintic forms in at least n>4562911 variables have a non-trivial zero. We also derive a new result concerning systems of cubic and quadratic forms
In this thesis, we introduce the notion of quadratic forms and provide motivation for their study. W...
AbstractA special case of a conjecture attributed to Artin states that any system of two homogeneous...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135404/1/blms0385.pd
A variant of Brauer's induction method is developed. It is shown that quartic p-adic forms with at l...
We discuss the existence of rational and p-adic zeros of systems of cubic forms. In particular, we p...
AbstractWe prove that a quintic form in 26 variables defined over ap-adic fieldKalways has a nontriv...
We show that a system of r quadratic forms over a -adic field in at least 4r+1 variables will have a...
In this dissertation, we prove several results about the number of variables necessary to ensure tha...
In this dissertation, we prove several results about the number of variables necessary to ensure tha...
AbstractUsing the procedure of G. I. Arkhipov and A. A. Karatsuba (Math. USSR-Izv. 19 (1982), 321–34...
AbstractUsing the procedure of G. I. Arkhipov and A. A. Karatsuba (Math. USSR-Izv. 19 (1982), 321–34...
AbstractWe prove that a quintic form in 26 variables defined over ap-adic fieldKalways has a nontriv...
In this thesis we discuss the case of p-adic and rational zeros for a pair of additive quartic forms...
In this thesis, we introduce the notion of quadratic forms and provide motivation for their study. W...
In this paper we consider systems of diagonal forms with integer coefficients in which each form has...
In this thesis, we introduce the notion of quadratic forms and provide motivation for their study. W...
AbstractA special case of a conjecture attributed to Artin states that any system of two homogeneous...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135404/1/blms0385.pd
A variant of Brauer's induction method is developed. It is shown that quartic p-adic forms with at l...
We discuss the existence of rational and p-adic zeros of systems of cubic forms. In particular, we p...
AbstractWe prove that a quintic form in 26 variables defined over ap-adic fieldKalways has a nontriv...
We show that a system of r quadratic forms over a -adic field in at least 4r+1 variables will have a...
In this dissertation, we prove several results about the number of variables necessary to ensure tha...
In this dissertation, we prove several results about the number of variables necessary to ensure tha...
AbstractUsing the procedure of G. I. Arkhipov and A. A. Karatsuba (Math. USSR-Izv. 19 (1982), 321–34...
AbstractUsing the procedure of G. I. Arkhipov and A. A. Karatsuba (Math. USSR-Izv. 19 (1982), 321–34...
AbstractWe prove that a quintic form in 26 variables defined over ap-adic fieldKalways has a nontriv...
In this thesis we discuss the case of p-adic and rational zeros for a pair of additive quartic forms...
In this thesis, we introduce the notion of quadratic forms and provide motivation for their study. W...
In this paper we consider systems of diagonal forms with integer coefficients in which each form has...
In this thesis, we introduce the notion of quadratic forms and provide motivation for their study. W...
AbstractA special case of a conjecture attributed to Artin states that any system of two homogeneous...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135404/1/blms0385.pd
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