On the representation of integers as sums of triangular numbers

DOI10.1007/BF01831114zbMath0828.11057OpenAlexW4237838990WikidataQ55954475 ScholiaQ55954475MaRDI QIDQ1897770

Ken Ono, Patrick T. Wahl, Sinai Robins

Publication date: 7 January 1996

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137621

zbMATH Keywords

surveymodular formsrepresentation of integersRamanujan's functionsums of triangular numbers24-dimensional Leech latticesnumber of lattice points in a \(k\)-dimensional sphere

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Holomorphic modular forms of integral weight (11F11) Lattice points in specified regions (11P21) Analytic theory of partitions (11P82)

Related Items (20)

On the classification of non-equal rank affine conformal embeddings and applications ⋮ Sums of triangular numbers and sums of squares ⋮ Nonlinear differential equations satisfied by certain classical modular forms ⋮ The second bosonization of the CKP hierarchy ⋮ Polynomial interpolation of modular forms for Hecke groups ⋮ Eisenstein series and their applications to some arithmetic identities and congruences ⋮ On the degrees of representations of groups not divisible by 2k ⋮ An arithmetic formula of Liouville ⋮ Double coset operators and eta-quotients ⋮ Unnamed Item ⋮ Convolution sums of some functions on divisors ⋮ Powers of Jacobi triple product, Cohen's numbers and the Ramanujan \(\Delta\)-function ⋮ Dihedral group, 4-torsion on an elliptic curve, and a peculiar eigenform modulo 4 ⋮ Formulas for partition \(k\)-tuples with \(t\)-cores ⋮ Two $q$-analogues of Euler’s formula $\zeta (2)=\pi ^2/6$ ⋮ A \(q\)-analogue for Euler's \(\zeta(6) = \pi^6/945\) ⋮ On the representation of integers as sums of a class of triangular numbers ⋮ A \(q\)-analogue for Euler's evaluations of the Riemann zeta function ⋮ INDUCTIVE FORMULAS FOR SOME ARITHMETIC FUNCTIONS ⋮ Analogues of Ramanujan's 24 squares formula

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(E\Upsilon PHKA\)! \(\mathrm{num}=\Delta +\Delta +\Delta\)
• Cranks and t-cores
• Sur la lacunarité des puissances de η
• Note on Ramanujan's Function $\tau(n)$.
• Formes modulaires de poids $1$
• Some Congruences for Partitions that are p -Cores
• On the positivity of the number of t-core partitions
• Lacunarity of Dedekind η-products

This page was built for publication: On the representation of integers as sums of triangular numbers