A canonical subspace of modular forms of half-integral weight

DOI10.1007/s00208-009-0455-0zbMath1219.11070OpenAlexW2037463278MaRDI QIDQ976774

Sanoli Gun, B. Ramakrishnan, Murugesan Manickam

Publication date: 16 June 2010

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-009-0455-0

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Theta series; Weil representation; theta correspondences (11F27) Holomorphic modular forms of integral weight (11F11) Modular correspondences, etc. (11F32)

Related Items (3)

A NOTE ON SPECIAL VALUES OF CERTAIN DIRICHLET L-FUNCTIONS ⋮ Analytic number theory in India during 2001-2010 ⋮ Special values of Hecke \(L\)-functions of modular forms of half-integral weight and cohomology

Cites Work

• On the theory of newforms of half-integral weight
• On the representation of integers as sums of an odd number of squares
• Sur les coefficients de Fourier des formes modulaires de poids demi-entier
• Addendum: On the theory of newforms of half-integral weight
• Modular forms associated to real quadratic fields
• Sums involving the values at negative integers of \(L\)-functions of quadratic characters
• On the number of representations of certain integers as sums of 11 or 13 squares.
• A generalization of Cohen-Eisenstein series and Shimura liftings and some congruences between cusp forms and Eisenstein series
• Modular forms of half integral weight, some explicit arithmetic
• Sums of five, seven and nine squares
• On modular forms of half integral weight
• Newforms of half-integral weight.
• Modular forms of half integral weight and the integral of certain theta-functions
• On construction of holomorphic cusp forms of half integral weight
• On Shimura, Shintani and Eichler-Zagier correspondences

This page was built for publication: A canonical subspace of modular forms of half-integral weight