A quick combinatorial proof of Eisenstein series identities
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Publication:1208172
DOI10.1006/jnth.1993.1007zbMath0786.11021OpenAlexW1972628291MaRDI QIDQ1208172
Publication date: 16 May 1993
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jnth.1993.1007
Combinatorial identities, bijective combinatorics (05A19) Holomorphic modular forms of integral weight (11F11) Arithmetic functions; related numbers; inversion formulas (11A25)
Related Items (12)
ON THE THETA SERIES ATTACHED TO $D_{m}^{+}$–LATTICES ⋮ Extension of the Liouville and Skoruppa arithmetic identities ⋮ Rational decomposition of modular forms ⋮ Eisenstein series identities based on partial fraction decomposition ⋮ Products of vector valued Eisenstein series ⋮ The algebra of bi-brackets and regularized multiple Eisenstein series ⋮ Evaluation of a certain combinatorial convolution sum in higher level cases ⋮ The elliptic Apostol-Dedekind sums generate odd Dedekind symbols with Laurent polynomial reciprocity laws ⋮ Elliptic aspects of statistical mechanics on spheres ⋮ Some identities involving theta functions ⋮ Arithmetic properties derived from coefficients of certain eta quotients ⋮ Triple product identity, Quintuple product identity and Ramanujan’s differential equations for the classical Eisenstein series
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