- On the representation of integers by quadratic forms🔍
- On Representation of Integers by Quadratic Forms🔍
- ON REPRESENTATION OF INTEGERS BY BINARY QUADRATIC ...🔍
- On representation of integers by binary quadratic forms🔍
- On the representation of integers by binary quadratic forms🔍
- representations of integers by quadratic forms🔍
- On the number of representations of integers by quadratic forms with ...🔍
- On Representations of integers by the quadratic form x2 − Dy2🔍
On the representation of integers by quadratic forms
On the representation of integers by quadratic forms - math - arXiv
Let Q be a non-singular quadratic form with integer coefficients. When Q is indefinite we provide new upper bounds for the least non-trivial integral solution.
On Representation of Integers by Quadratic Forms - jstor
one of these coefficients is odd. I, INDEFINITE TERNARY CLASSIC QUADRATIC FORMS OF QUADRATFREI. DETERMINANT. 1. Statement of Representation Theorems.- ...
On the representation of integers by quadratic forms
On the representation of integers by quadratic forms. T. D. Browning and R. Dietmann. Abstract. Let n ⩾ 4 and let Q ∈ Z[X1,...,Xn] be a non-singular quadratic ...
AMS :: The Representations of Integers by Quadratic Forms
The Representations of Integers by Quadratic Forms: An MAA Invited Address by Manjul Bhargava. Manjul Bhargava. When does a quadratic form represent all ( ...
ON REPRESENTATION OF INTEGERS BY BINARY QUADRATIC ...
Combined with the 1/2-dimensional sieve of Iwaniec, this yields a lower bound on the number of such integers q+a X represented by a binary quadratic form of ...
On representation of integers by binary quadratic forms
Abstract. Given a negative D > −(log X)log 2−δ, we give a new upper bound on the number of square free integers < X which are represented by some but not ...
On the representation of integers by binary quadratic forms - arXiv
Title:On the representation of integers by binary quadratic forms ... Abstract:In this note we show that for a given irreducible binary quadratic ...
On Representation of Integers by Quadratic Forms - PNAS
Emotions are often felt in the body, and somatosensory feedback has been proposed to trigger conscious emotional experiences. Here we reveal maps of bodily ...
representations of integers by quadratic forms - UGA math department
As we have seen, if. P(x1,...,xn) = d is an inhomogeneous polynomial equation (i.e., d ̸= 0), then the determination of whether it has an integer solution ...
On the representation of integers by quadratic forms
Let n ≥ 4 and let Q ∈ ℤ[X1, …, Xn] be a non-singular quadratic form. When Q is indefinite we provide new upper bounds for the least non-trivial integral ...
On the number of representations of integers by quadratic forms with ...
The purpose of this article is to obtain formulas for the representation numbers with congruence conditions. This will be accomplished by means of modular ...
On Representations of integers by the quadratic form x2 − Dy2
The representation of integers in binary quadratic forms has been a penchant for math- ematicians throughout history including the well ...
On Representation of Integers by Quadratic Forms - PubMed
On Representation of Integers by Quadratic Forms. Proc Natl Acad Sci U S A. 1932 Sep;18(9):600-8. doi: 10.1073/pnas.18.9.600.
Representation of Positive Integers by Binary Quadratic Forms
This is a follow up to a question from yesterday regarding the representation of integers by binary quadratic forms with integer coefficients.
4. BINARY QUADRATIC FORMS 4.1. What integers are represented ...
(Hint: Remember that, if they are equivalent, then the transformation of variables involves proper representations of both a and c.) c) Deduce that distinct ...
On Representations of integers by the quadratic form x2 − Dy2
The representation of integers in binary quadratic forms has been a penchant for mathematicians throughout history including the well known ...
On the Representation of Integers by the Lorentzian Quadratic Form
Abstract. In this paper, we establish an asymptotic formula, for large radiusr, for the number of representations of a nonzero integerkby the Lorentzian ...
On the Number of Representation of Integers into Quadratic Forms
We give formulas for the number of representations of non negative integers into quadratic forms. We also consider the case cubic and quintic forms.
On Representation of Integers by Quadratic Forms - PMC
On Representation of Integers by Quadratic Forms. Arnold E Ross. Arnold E Ross. 1Department of Mathematics, California Institute of Technology. Find articles by ...
Representation of integers by principal binary quadratic forms
2 Answers 2 ... There are precisely two such proper divisors of k, and their product equals −k. This result is essentially due to Gauss, see ...