Proofs from THE BOOK || One square and an odd number of triangles

Proofs from THE BOOK || Representing num

Proofs from THE BOOK || Representing numbers as sums of two squares

✍ Aigner, Martin; Ziegler, Günter M. 📂 Article 📅 2010 🏛 Springer Berlin Heidelberg ⚖ 449 KB

On the Number of Representation of a Squ

On the Number of Representation of a Square, or a Constant Times a Square, as the Sum of an Odd Number of Squares

✍ Pall, G. 📂 Article 📅 1930 🏛 Oxford University Press 🌐 English ⚖ 107 KB

On the Number of Even and Odd Latin Squa

On the Number of Even and Odd Latin Squares of Orderp+1

✍ Arthur A Drisko 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 358 KB

It is shown that given an odd prime p, the number of even latin squares of order p+1 is not equal to the number of odd latin squares of order p+1. This result is a special case of a conjecture of Alon and Tarsi and has implications for various other combinatorial problems, including conjectures of R

On Certain Properties of Square Numbers

On Certain Properties of Square Numbers and other Quadratic Forms, with a Table by Which All the Odd Numbers up to 9211 May Be Resolved into Not Exceeding Four Square Numbers.

✍ Pollock, F. 📂 Article 📅 1854 🏛 The Royal Society ⚖ 234 KB

On Certain Properties of Square Numbers

On Certain Properties of Square Numbers and Other Quadratic Forms, with a Table of Odd Numbers from 1 to 191, Divided into 4, 3 or 2 Square Numbers, the Algebraic Sum of Whose Roots (Positive or Negative) May Equal 1, by means of Which Table All the Odd Numbers up to 9503 May be Resolved into not Exceeding 4 Square Numbers

✍ Pollock, F. 📂 Article 📅 1854 🏛 The Royal Society ⚖ 671 KB

On Certain Properties of Square Numbers

On Certain Properties of Square Numbers and Other Quadratic Forms, with a Table of Odd Numbers from 1 to 191, Divided into 4, 3 or 2 Square Numbers, the Algebraic Sum of Whose Roots (Positive or Negative) May Equal 1, by means of Which Table All the Odd Numbers up to 9503 May be Resolved into not Exceeding 4 Square Numbers

✍ Frederick Pollock 📂 Article 📅 1854 🏛 The Royal Society ⚖ 751 KB