On the Niwa-Shintani theta-kernel lifting of modular forms

DOI10.1017/S0027763000020468zbMath0523.10014OpenAlexW1493791569MaRDI QIDQ3674752

Barry A. Cipra

Publication date: 1983

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000020468

zbMATH Keywords

liftingcusp formsPetersson inner productmodular forms of half-integral weightShimura conjecturegeneral theory of theta kernelsShimura theorem

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Holomorphic modular forms of integral weight (11F11)

Related Items

Non-vanishing and sign changes of Hecke eigenvalues for half-integral weight cusp forms, Local densities and explicit bounds for representability by a quadratic form, The application of the Shimura lifting to the representation of large numbers by ternary quadratic forms, Construction of Hermitian modular forms of genus 2 from cusp forms of genus 1, On twisting operators and newforms of half-integral weight, Differential Operators and Theta Series, Representation of numbers, divisible by a large square, by positive ternary quadratic forms, On the Shimura lift, après Selberg, Fourier coefficients of cusp forms of half-integral weight, Taylor expansions of Jacobi forms and linear relations among theta series, Equidistribution of Heegner points and ternary quadratic forms, On a theorem of Vignéras, Nonvanishing modulo \(l\) of Fourier coefficients of half-integral weight modular forms, Shimura lifts of weakly holomorphic modular forms, Hecke bound of vector-valued modular forms and its relationship with cuspidality, On the regularized imaginary Doi-Naganuma lifting, Unitary cycles on Shimura curves and the Shimura lift II, Representation of integers by positive ternary quadratic forms and equidistribution of lattice points on ellipsoids, Shimura lifting on weak Maass forms, Lattice points in rational ellipsoids, Uniform bounds for sums of Kloosterman sums of half integral weight, Thetareihen positiv definiter quadratischer Formen, Shintani theta lifts of harmonic Maass forms

Cites Work

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