On an Asymptotics of the Number of Representations of a Pair of ...

On an Asymptotics of the Number of Representations of a Pair of Integers by Quadratic and Linear Forms with Congruential Condition · Abstract.

On an Asymptotics of the Number of Representations of a Pair of Integers by Quadratic and Linear Forms with Congruential Condition ...

On an Asymptotics of the Number of Representations of a Pair of ...

Request PDF | On Jun 23, 2022, U. M. Pachev and others published On an Asymptotics of the Number of Representations of a Pair of Integers by Quadratic and ...

On an Asymptotics of the Number of Representations ... - EBSCOhost

Abstract—Asymptotic formulas with remainder for the number of representations of a pair of integers by quadratic and linear forms with a congruential ...

The asymptotic formula for the number of representations of an ...

In this paper we remark that the asymptotic formula for the number of representations of an integer as a sum of five squares can be derived by a simple ...

On an Asymptotics of the Number of Representations of a Pair of ...

On an Asymptotics of the Number of Representations of a Pair of Integers by Quadratic and Linear Forms with Congruential Condition.

AN ASYMPTOTIC FORMULA FOR THE NUMBER OF ... - IOPscience

AN ASYMPTOTIC FORMULA FOR THE NUMBER OF REPRESENTATIONS OF A NATURAL NUMBER BY A PAIR OF QUADRATIC FORMS, THE ARGUMENTS OF ONE OF WHICH ARE PRIME.

Deducing Multidecadal Anthropogenic Global Warming Trends ...

On an Asymptotics of the Number of Representations of a Pair of Integers by Quadratic and Linear Forms with Congruential Condition. Language: English

Asymptotic growth of sum-of-two-squares function

Let r(n) denote the sum-of-two-squares function for n∈N, that is, the number of pairs (i,j)∈Z2 such that i2+j2=n. The paper Trigonometric ...

asymptotics of numbers represented by certain indefinite binary ...

A postdoc wrote to me, asking about about the asymptotic number of elements represented integrally by, say, x2−n3y2 in the set of numbers −N to ...

An Asymptotic Formula for the Number of Representations of a ...

TL;DR: In this paper, it was shown that R(n,θ) is a lower bound on the expected order of magnitude of the number of representations of the natural number n as ...

Asymptotics of the number of 2-threshold functions - ScienceDirect

Asymptotics of the number of 2-threshold functions · Abstract · Introduction · Section snippets · Preliminaries · Proper pairs of oriented prime segments and the ...

an asymptotic formula for the number of representations of a natural ...

NATURAL NUMBER BY A PAIR OF QUADRATIC. FORMS, THE ARGUMENTS OF ONE OF WHICH ... Bibliography: 14 titles. Introduction. In this article an asymptotic formula is ...

Asymptotic Properties of the Matches Number in Pairing Observations

sian). Latishev R.P., Zolotukhina, L.A. (1984). Integral representation of the variance of the number of correctly matched pairs ...

On the asymptotics of matrix coefficients of representations of SL(2,R)

Set theoretically and topologically it can be described by ... (a) Details on the representations: Traditionally (following Bargmann), many ...

Representing a number as a sum of at most $k$ squares

In the case of squares, when k≥5 the asymptotics of the number of representations (as a function of n) have been known for some time (I believe ...

ON AN ASYMPTOTIC BEHAVIOR OF ELEMENTS OF ORDER p IN ...

for a representation ϕ of S and nM (x) denotes the same number for a module M affording ϕ. An element x ∈ G of order p can be embedded into a ...

Asymptotics of Goldbach representations - Project Euclid

which counts the number of representations of an integer n as the sum ... Lu, Exceptional set of Goldbach number, J. Number Theory 130. (2010) ...

An asymptotic formula for the number of n-dimensional ... - EMS Press

resentations Wj;k indexed by pairs of positive integers. ... An asymptotic formula for the number of n-dimensional representations of SU(3).

[2107.03261] An asymptotic formula for the number of 𝑛 ... - ar5iv

An asymptotic formula for the number of n 𝑛 n -dimensional representations ... pairs of positive integers. Note that (see Chapter 5 of [4] ) that dim ( W j ...