Sums of five, seven and nine squares
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Publication:1876525
DOI10.1023/A:1021175617574zbMath1050.11044MaRDI QIDQ1876525
Publication date: 20 August 2004
Published in: The Ramanujan Journal (Search for Journal in Brave)
Sums of squares and representations by other particular quadratic forms (11E25) Forms of half-integer weight; nonholomorphic modular forms (11F37) Hecke-Petersson operators, differential operators (one variable) (11F25) Elliptic functions and integrals (33E05)
Related Items (20)
On the number of primitive representations of integers as sums of squares ⋮ New congruences for overpartitions modulo \(3\) and \(9\) ⋮ Congruences modulo 64 and 1024 for overpartitions ⋮ Unnamed Item ⋮ Arithmetic properties of partition triples with odd parts distinct ⋮ On special values of certain Dirichlet \(L\)-functions ⋮ Representations of squares by certain diagonal quadratic forms in an odd number of variables ⋮ On the number of representations of certain integers as sums of 11 or 13 squares. ⋮ Ramanujan-type congruences for overpartitions modulo \(3\) ⋮ Infinite families of congruences modulo 5 and 9 for overpartitions ⋮ A NOTE ON SPECIAL VALUES OF CERTAIN DIRICHLET L-FUNCTIONS ⋮ New congruences modulo 5 and 9 for partitions with odd parts distinct ⋮ Congruences modulo 9 and 27 for overpartitions ⋮ On the representation of integers as sums of an odd number of squares ⋮ Arithmetic properties of overpartition triples ⋮ Derivable quadratic forms and representation numbers ⋮ Proof of a conjecture of Cooper ⋮ Integral quadratic forms and Dirichlet series ⋮ A canonical subspace of modular forms of half-integral weight ⋮ SUMS OF SQUARES AND PARTITION CONGRUENCES
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