THETA FUNCTION IDENTITIES AND REPRESENTATIONS BY CERTAIN QUATERNARY QUADRATIC FORMS
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Publication:3602975
DOI10.1142/S1793042108001304zbMath1163.11029MaRDI QIDQ3602975
Mathieu Lemire, Şaban Alaca, Ayşe Alaca, Kenneth S. Williams
Publication date: 12 February 2009
Published in: International Journal of Number Theory (Search for Journal in Brave)
Sums of squares and representations by other particular quadratic forms (11E25) General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Counting solutions of Diophantine equations (11D45)
Related Items (18)
THE NUMBER OF REPRESENTATIONS OF AN INTEGER AS A SUM INVOLVING GENERALIZED PENTAGONAL NUMBERS ⋮ Fourier coefficients of a class of eta quotients of weight 2 ⋮ On the number of representations of a positive integer as a sum of two binary quadratic forms ⋮ Unnamed Item ⋮ Some arithmetic convolution identities ⋮ JACOBI'S THETA FUNCTIONS AND THE NUMBER OF REPRESENTATIONS OF A POSITIVE INTEGER AS A SUM OF FOUR TRIANGULAR NUMBERS ⋮ 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 ⋮ ON THE REPRESENTATIONS OF INTEGERS BY CERTAIN QUADRATIC FORMS ⋮ Proofs of some conjectures of Z.-H. Sun on relations between sums of squares and sums of triangular numbers ⋮ On the number of representations of integers by sums of mixed 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 ⋮ Unnamed Item ⋮ Unnamed Item ⋮ 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 ⋮ ON THE QUATERNARY FORMS x2+y2+2z2+3t2, x2+2y2+2z2+6t2, x2+3y2+3z2+6t2 AND 2x2+3y2+6z2+6t2
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