Publication date
October 2002
DOI Publisher
Elsevier Science (USA). ISSN
0022-314XAbstract
AbstractWe will investigate solutions to the Darmon–Granville equation with Gaussian integer exponents
AbstractWe will investigate solutions to the Darmon–Granville equation with Gaussian integer exponents
AbstractLet f(x) be a real valued polynomial in x of degree k⩾4 with leading coefficient α. In this ...
AbstractLet f(x1, x2,…, xn) be a polynomial with rational integral coefficients. Let d(f) be the gre...
AbstractA general theorem for providing a class of combinatorial identities where the sum is over al...
AbstractLet a, b, k be non-zero integers. Then the set of pairs of exponents (m, n), m ≧ 1, n ≧ 1, f...
AbstractLet d(ω; α, γ) be the number of divisors of the Gaussian integer ω which lie in the arithmet...
AbstractWe prove that the Putnam difference equation xn+1=xn+xn−1+xn−2xn−3xnxn−1+xn−2+xn−3,n=0,1,… h...
A classical problem due to Abel is to determine if a differential equation $y'=\eta y$ admits a non-...
AbstractThis paper continues the search to determine for what exponents n Fermat's Last Theorem is t...
AbstractThe Euler–Lehmer constants γ(a,q) are defined as the limitslimx→∞(∑n⩽xn≡a(modq)1n−logxq). We...
Given $b=-A\pm i$ with $A$ being a positive integer, we can represent any complex number as a power ...
Treballs finals del Màster en Matemàtica Avançada, Facultat de matemàtiques, Universitat de Barcelon...
AbstractIt is shown that if λ1, …, λ5 are non-zero real numbers, not all of the same sign, and at le...
AbstractWe study the polynomial f(x)=xq+1+ax+b over an arbitrary field F of characteristic p, where ...
In 1659, John Pell and Johann Rahn wrote a text which explained how to find all integer solutions to...
AbstractLet n be an integer ≥ 1 and let θ be a real number which is not an algebraic number of degre...
AbstractLet f(x) be a real valued polynomial in x of degree k⩾4 with leading coefficient α. In this ...
AbstractLet f(x1, x2,…, xn) be a polynomial with rational integral coefficients. Let d(f) be the gre...
AbstractA general theorem for providing a class of combinatorial identities where the sum is over al...
AbstractLet a, b, k be non-zero integers. Then the set of pairs of exponents (m, n), m ≧ 1, n ≧ 1, f...
AbstractLet d(ω; α, γ) be the number of divisors of the Gaussian integer ω which lie in the arithmet...
AbstractWe prove that the Putnam difference equation xn+1=xn+xn−1+xn−2xn−3xnxn−1+xn−2+xn−3,n=0,1,… h...
A classical problem due to Abel is to determine if a differential equation $y'=\eta y$ admits a non-...
AbstractThis paper continues the search to determine for what exponents n Fermat's Last Theorem is t...
AbstractThe Euler–Lehmer constants γ(a,q) are defined as the limitslimx→∞(∑n⩽xn≡a(modq)1n−logxq). We...
Given $b=-A\pm i$ with $A$ being a positive integer, we can represent any complex number as a power ...
Treballs finals del Màster en Matemàtica Avançada, Facultat de matemàtiques, Universitat de Barcelon...
AbstractIt is shown that if λ1, …, λ5 are non-zero real numbers, not all of the same sign, and at le...
AbstractWe study the polynomial f(x)=xq+1+ax+b over an arbitrary field F of characteristic p, where ...
In 1659, John Pell and Johann Rahn wrote a text which explained how to find all integer solutions to...
AbstractLet n be an integer ≥ 1 and let θ be a real number which is not an algebraic number of degre...
AbstractLet f(x) be a real valued polynomial in x of degree k⩾4 with leading coefficient α. In this ...
AbstractLet f(x1, x2,…, xn) be a polynomial with rational integral coefficients. Let d(f) be the gre...
AbstractA general theorem for providing a class of combinatorial identities where the sum is over al...
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