scientific article; zbMATH DE number 5258174
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Publication:5455224
zbMath1209.11040MaRDI QIDQ5455224
Kenneth S. Williams, Şaban Alaca, Ayşe Alaca, Mathieu Lemire
Publication date: 3 April 2008
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sums of squares and representations by other particular quadratic forms (11E25) General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Theta series; Weil representation; theta correspondences (11F27)
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Unnamed Item ⋮ Representation numbers of seven quaternary quadratic forms each in a genus consisting of only two classes ⋮ Theta functions of nineteen non-diagonal positive-definite quaternary quadratic forms of discriminant 784 with levels 28 or 56 ⋮ On the number of representations of n as a linear combination of four triangular numbers II ⋮ Representations by quaternary quadratic forms whose coefficients are 1, 4, 9 and 36 ⋮ The power series expansion of certain infinite products \newline \(q^{r}\prod_{n=1}^{\infty}(1-q^{n})^{a_{1}}(1-q^{2n})^{a_{2}}\cdots(1-q^{mn})^{a_{m}}\) ⋮ Unnamed Item ⋮ Constructing \(x^2\) for primes \(p=ax^2+by^2\) ⋮ Ramanujan-Mordell type formulas associated to certain quadratic forms of discriminant \(20^k\) or \(32^k\) ⋮ Proofs of some conjectures of Z.-H. Sun on relations between sums of squares and sums of triangular numbers ⋮ Representation numbers of certain quaternary quadratic forms in a genus consisting of a single class ⋮ On the number of representations of n as a linear combination of four triangular numbers ⋮ Some relations between $t(a,b,c,d;n)$ and $N(a,b,c,d;n)$ ⋮ Relations among representations of integers by certain quadratic forms
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