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Displaying 1 – 20 of 139

A combinatorial proof of a result from number theory.

Cooper, Shaun, Hirschhorn, Michael (2004)

Integers

A new upper bound for Waring's problem (mod p)

J. Bovey (1977)

Acta Arithmetica

A note on the Diophantine equation P(z) = n! + m!

Maciej Gawron (2013)

Colloquium Mathematicae

We consider the Brocard-Ramanujan type Diophantine equation P(z) = n! + m!, where P is a polynomial with rational coefficients. We show that the ABC Conjecture implies that this equation has only finitely many integer solutions when d ≥ 2 and $P (z) = a_{d} z^{d} + a_{d - 3} z^{d - 3} + \dots + a ₁ x + a ₀$ .

A note on Waring's problem in GF (p)

M. Dodson, A. Tietäväinen (1976)

Acta Arithmetica

A note on Waring's problem in p-adic fields

J. Bovey (1976)

Acta Arithmetica

A propos du problème de Waring

Jean-Marc DESHOUILLERS (1971/1972)

Seminaire de Théorie des Nombres de Bordeaux

A remark on a previous paper by Bredihin and Linnik

S. Uchiyama (1972)

Acta Arithmetica

A theorem on triangular numbers

Stolt, B. (1957)

Portugaliae mathematica

Addendum and corrigendum to the paper "On sums of powers and a related problem", Acta Arith. 36 (1980), pp. 125-141

K. Thanigasalam (1983)

Acta Arithmetica

Additive problems involving squares, cubes and almost primes

Yu. Linnik (1972)

Acta Arithmetica

Amélioration de la majoration de g(4) dans le problème de Waring: g(4)≤30

François Dress (1973)

Acta Arithmetica

An algorithm for a solution of a problem of Frobenius.

Mordechai Lewin (1975)

Journal für die reine und angewandte Mathematik

An improved upper bound for G(k) in Waring's problem for relatively small k

R. Balasubramanian, C. Mozzochi (1984)

Acta Arithmetica

Analogues of Jacobi's two-square theorem: an informal account.

Melham, Ray S. (2010)

Integers

Analogues of two classical theorems on the representations of a number.

Melham, R.S. (2008)

Integers

Analytic Erdős-Turán conjectures and Erdős-Fuchs theorem.

Haddad, L., Helou, C., Pihko, J. (2005)

International Journal of Mathematics and Mathematical Sciences

Binary quadratic forms and sums of triangular numbers

Zhi-Hong Sun (2011)

Acta Arithmetica

Büchi's problem in any power for finite fields

Hector Pasten (2011)

Acta Arithmetica

Characterizing the sum of two cubes.

Broughan, Kevin A. (2003)

Journal of Integer Sequences [electronic only]

Corrigendum to "Representatons of multivariate polynomials by sums of univariate polynomials in linear forms" (Colloq. Math. 112 (2008), 201-233)

A. Białynicki-Birula, A. Schinzel (2011)

Colloquium Mathematicae

Currently displaying 1 – 20 of 139

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