Lagrange’s Four-Square Theorem

Yasushige Watase

Displaying similar documents to “Lagrange’s Four-Square Theorem”

Square Lehmer numbers

Wayne McDaniel (1993)

Colloquium Mathematicae

Similarity:

A note on primes p with $σ (p^{m}) = z^{n}$

Maohua Le (1991)

Colloquium Mathematicae

Similarity:

On integers not of the form n - φ (n)

J. Browkin, A. Schinzel (1995)

Colloquium Mathematicae

Similarity:

W. Sierpiński asked in 1959 (see [4], pp. 200-201, cf. [2]) whether there exist infinitely many positive integers not of the form n - φ(n), where φ is the Euler function. We answer this question in the affirmative by proving Theorem. None of the numbers $2^{k} \cdot 509203$ (k = 1, 2,...) is of the form n - φ(n).

On $D$ sot hat $x^{2} - D y^{2}$ represents $m$ and $- m$ and not $- 1$ .

Robertson, John P. (2009)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

Similarity:

Modular forms and class number congruences

Antone Costa (1992)

Acta Arithmetica

Similarity:

Squares in Lucas sequenceshaving an even first parameter

Paulo Ribenboim, Wayne McDaniel (1998)

Colloquium Mathematicae

Similarity:

Simple proofs of some generalizations of the Wilson’s theorem

Jan Górowski, Adam Łomnicki (2014)

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

Similarity:

In this paper a remarkable simple proof of the Gauss’s generalization of the Wilson’s theorem is given. The proof is based on properties of a subgroup generated by element of order 2 of a finite abelian group. Some conditions equivalent to the cyclicity of (Φ(n), ·n), where n > 2 is an integer are presented, in particular, a condition for the existence of the unique element of order 2 in such a group.

Primes, permutations and primitive roots.

Lewittes, Joseph, Kolyvagin, Victor (2010)

The New York Journal of Mathematics [electronic only]

Similarity:

Weyl almost periodic selections of supports of measure-valued functions.

Danilov, L.I. (2006)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

Similarity:

Quasi-identities of congruence-distributive quasivarieties of algebras.

Nurakunov, A.M. (2001)

Siberian Mathematical Journal

Similarity:

Modified proof of a local analogue of the Grothendieck conjecture

Victor Abrashkin (2010)

Journal de Théorie des Nombres de Bordeaux

Similarity:

A local analogue of the Grothendieck Conjecture is an equivalence between the category of complete discrete valuation fields $K$ with finite residue fields of characteristic $p \neq 0$ and the category of absolute Galois groups of fields $K$ together with their ramification filtrations. The case of characteristic 0 fields $K$ was studied by Mochizuki several years ago. Then the author of this paper proved it by a different method in the case $p > 2$ (but with no restrictions on the characteristic of $K$ )....