number of representations as sum of two squares

由 C Hooley 著作 · 1957 · 被引用 76 次 — tion of their circle method, for the number of representations of a number n as the...

number of representations as sum of two squares

由 C Hooley 著作 · 1957 · 被引用 76 次 — tion of their circle method, for the number of representations of a number n as the sum of two squares and a prime number. The truth of this formula would ... ,由 M Kaba 著作 · 1909 · 被引用 1 次 — Consider the representations expressible as the sum of the squares of two numbers. Following Jacobi's notation for the theta-function with a.

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number of representations as sum of two squares 相關參考資料
Enumerating ways to decompose an integer into the sum of ...

There are good algorithms for expressing a prime as a sum of two squares or, ... number is divisible by q there is actually no representation at all.

https://mathoverflow.net

On the representation of a number as the sum of two squares ...

由 C Hooley 著作 · 1957 · 被引用 76 次 — tion of their circle method, for the number of representations of a number n as the sum of two squares and a prime number. The truth of this formula would ...

https://projecteuclid.org

On the Representation of Numbers as the Sum of Two Squares

由 M Kaba 著作 · 1909 · 被引用 1 次 — Consider the representations expressible as the sum of the squares of two numbers. Following Jacobi's notation for the theta-function with a.

https://www.jstor.org

Representation as a sum of two squares - Mathematics Stack ...

Let n>2. Then the number of essentially distinct representations of n as a sum of two relatively prime squares is ...

https://math.stackexchange.com

Representing numbers as the sum of squares and powers in ...

由 R Burns 著作 · 2017 · 被引用 2 次 — We examine the representation of numbers as the sum of two squares in Zn for a general integer n. Using this information we make some ...

https://arxiv.org

Sum of squares function - Wikipedia

In number theory, the sum of squares function is an arithmetic function that gives the number of representations for a given positive integer n as the sum of k ... The number of ways to write a natura...

https://en.wikipedia.org

Sum of Squares Function -- from Wolfram MathWorld

由 EW Weisstein 著作 · 2000 · 被引用 6 次 — B=(b_1+1)(b_2+1)...(. (16). The number of representations of n as the sum of two squares ignoring order ...

https://mathworld.wolfram.com

SUM OF TWO SQUARES Contents 1. Introduction 1 2 ...

https://www.math.uchicago.edu

Sum of two squares representation - Mathematics Stack ...

If a square is divisible by a prime p with p≡1(mod4), then it can also be written as two nonzero squares added. Begin with the Pythagorean ...

https://math.stackexchange.com

Sum of two squares theorem - Wikipedia

Representable numbers — In writing a number as a sum of two squares, it is allowed for one of the squares to be zero, or for both of them to be equal to ...

https://en.wikipedia.org