On expressions of theta series by \(\eta\)-products

DOI10.3836/tjm/1327931388zbMath1250.11042OpenAlexW2083063435MaRDI QIDQ763997

Akihiko Okamoto

Publication date: 3 April 2012

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1327931388

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Holomorphic modular forms of integral weight (11F11) Dedekind eta function, Dedekind sums (11F20)

Related Items

Fourier coefficients of a class of eta quotients of weight 2 ⋮ A certain eta-quotient and the class number of an imaginary quadratic field ⋮ Binary quadratic forms and the Fourier coefficients of certain weight 1 \(\eta\)-quotients ⋮ Eta quotients of level 12 and weight 1

Cites Work

• Congruences for Frobenius partitions
• Positivity of eta products -- a certain case of K. Saito's conjecture
• Über die analytische Theorie der quadratischen Formen
• Construction and Application of a Class of Modular Functions (II)†
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