AbstractFor a positive definite integral quadratic form Q(x) in at least 4 variables, we show that there is a constant c = c(Q) so that for any m > 0, there is a non-zero integral vector x = (xi) such that Q(x) ≡ 0 mod(m), and max |xi| ≤ c√m
Let $p>5$ be a fixed prime and assume that $\alpha_1,\alpha_2,\alpha_3$ are coprime to $p$. We study...
AbstractLet Q(x1, …, xn) be a real indefinite quadratic form of type (r, n − r) (1 ≤ r ≤ n − 1) and ...
AbstractThe dimension over the complex numbers of the vector space of θ-series Φ(τ;P,Q)=∑nϵZr P(n)e2...
AbstractFor a positive definite integral quadratic form Q(x) in at least 4 variables, we show that t...
AbstractLet Q(x) = Q(x1, x2, …, xn) be a quadratic form with integer coefficients and p be an odd pr...
Let Q(x)=Q(x1, x2, …, xn) be a quadratic form over ℤ and p be an odd prime. Let ‖x‖=max|xi|. We show...
AbstractLet Q(x) = Q(x1, …, x4) be a quadratic form with integer coefficients and let p denote a pri...
Let Q(x) = ∑<SUP>n</SUP><SUB>f-1</SUB> ∑<SUP>n</SUP><SUB>f-1</SUB> q<SUB>f5</SUB> x<SUB>i</SUB>x<SUB...
Let m be a positive integer, p be an odd prime, and / ()m mp p=Z Z be the ring of integers modulo mp...
Here it is proved that if Q(x, y, z, t, u) is a real indefinite quinary quadratic form of type (4,1)...
Let Q(x, y, z) be an integral quadratic form with determinant coprime to some modulus q. We show tha...
Let Q(x, y, z, t, u) be a real indefinite 5-ary quadratic form of type (3,2) and determinant D(> ...
Abstract. Let Q(x) = Q(x1, x2,..., xn) be a quadratic form over Z, p be an odd prime, and Δ = (−1)n...
AbstractThe purpose of this paper is to prove a conjectured q-identity. The result is then applied t...
Given a quadratic form and M linear forms in N + 1 variables with coefficients in a number field K, ...
Let $p>5$ be a fixed prime and assume that $\alpha_1,\alpha_2,\alpha_3$ are coprime to $p$. We study...
AbstractLet Q(x1, …, xn) be a real indefinite quadratic form of type (r, n − r) (1 ≤ r ≤ n − 1) and ...
AbstractThe dimension over the complex numbers of the vector space of θ-series Φ(τ;P,Q)=∑nϵZr P(n)e2...
AbstractFor a positive definite integral quadratic form Q(x) in at least 4 variables, we show that t...
AbstractLet Q(x) = Q(x1, x2, …, xn) be a quadratic form with integer coefficients and p be an odd pr...
Let Q(x)=Q(x1, x2, …, xn) be a quadratic form over ℤ and p be an odd prime. Let ‖x‖=max|xi|. We show...
AbstractLet Q(x) = Q(x1, …, x4) be a quadratic form with integer coefficients and let p denote a pri...
Let Q(x) = ∑<SUP>n</SUP><SUB>f-1</SUB> ∑<SUP>n</SUP><SUB>f-1</SUB> q<SUB>f5</SUB> x<SUB>i</SUB>x<SUB...
Let m be a positive integer, p be an odd prime, and / ()m mp p=Z Z be the ring of integers modulo mp...
Here it is proved that if Q(x, y, z, t, u) is a real indefinite quinary quadratic form of type (4,1)...
Let Q(x, y, z) be an integral quadratic form with determinant coprime to some modulus q. We show tha...
Let Q(x, y, z, t, u) be a real indefinite 5-ary quadratic form of type (3,2) and determinant D(> ...
Abstract. Let Q(x) = Q(x1, x2,..., xn) be a quadratic form over Z, p be an odd prime, and Δ = (−1)n...
AbstractThe purpose of this paper is to prove a conjectured q-identity. The result is then applied t...
Given a quadratic form and M linear forms in N + 1 variables with coefficients in a number field K, ...
Let $p>5$ be a fixed prime and assume that $\alpha_1,\alpha_2,\alpha_3$ are coprime to $p$. We study...
AbstractLet Q(x1, …, xn) be a real indefinite quadratic form of type (r, n − r) (1 ≤ r ≤ n − 1) and ...
AbstractThe dimension over the complex numbers of the vector space of θ-series Φ(τ;P,Q)=∑nϵZr P(n)e2...
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