Results 241 to 250 of about 78,625 (277)

ON A CORRESPONDENCE BETWEEN JACOBI CUSP FORMS AND ELLIPTIC CUSP FORMS

International Journal of Number Theory, 2013
In this paper, we prove a generalization of a correspondence between holomorphic Jacobi cusp forms of higher degree (matrix index) and elliptic cusp forms obtained by K. Bringmann [Lifting maps from a vector space of Jacobi cusp forms to a subspace of elliptic modular forms, Math.
Ramakrishnan, B., Shankhadhar, Karam Deo
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Cusp forms

Israel Journal of Mathematics, 1992
Die Arbeit befaßt sich mit Poincaréreihen \(P_ f(g)= \sum_{H\cap \Gamma\setminus\Gamma} f(\gamma g)\) für arithmetische Untergruppen \(\Gamma\) halbeinfacher reeller, über \(\mathbb{Q}\) definierter Gruppen \(G\); dabei ist \(H\) Untergruppe der Fixpunkte einer Involution in \(G\).
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On the Lifting of Elliptic Cusp Forms to Siegel Cusp Forms of Degree 2n

The Annals of Mathematics, 2001
In this beautiful paper, the author generalizes the Saito-Kurokawa lifting to higher degrees. Let \(f(\tau)\in S_{2k}(SL_{2}(\mathbb{Z}))\) be a normalized Hecke eigenform. W. Duke and Ö. Imamoglu conjectured that if \(k\equiv n\) mod 2, then there exists a Hecke eigenform \(F(Z)\in S_{k+n}(Sp_{2n}(\mathbb{Z}))\) of degree \(2n\), whose standard \(L ...
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A note on the characterizations of Jacobi cusp forms and cusp forms of Maass Spezialschar

The Ramanujan Journal, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kohnen, Winfried, Lim, Jongryul
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SHIMURA INTEGRALS OF CUSP FORMS

Mathematics of the USSR-Izvestiya, 1981
This paper studies integrals of the form on the upper half-plane, where is a rational number, is integral, and is a cusp form of weight with respect to some modular group . The main result is that if is a congruence subgroup and is an eigenvector of all the Hecke operators, then all these integrals are representable as linear combinations of two
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SUMS OF FOURIER COEFFICIENTS OF CUSP FORMS

The Quarterly Journal of Mathematics, 2010
Let tφ(n) denote the nth normalized Fourier coefficient of a primitive holomorphic or Maass cusp form φ for the full modular group SL(2,ℤ). In this paper, we are concerned with the upper bound and omega results for the summatory function ∑n≤xt φ(nj) Asymptotic formulae for high power moments of tφ(n) are (conditionally) established. © 2010.
Lau, YK, Lü, G
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Mellin Transforms of Mixed Cusp Forms

Canadian Mathematical Bulletin, 1999
AbstractWe define generalized Mellin transforms of mixed cusp forms, show their convergence, and prove that the function obtained by such a Mellin transform of a mixed cusp form satisfies a certain functional equation. We also prove that a mixed cusp form can be identified with a holomorphic form of the highest degree on an elliptic variety.
Choie, YJ, Lee, MH
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Fourier coefficients of cusp forms associated to mixed cusp forms

1998
Summary: The authors construct a cusp form \({\mathcal L}^*_g(f)\) of weight \(m\) for a congruence subgroup of \(SL(2,\mathbb{R})\) associated to mixed cusp forms \(f,g\) of types \((l+m,k)\), \((l,k)\), respectively, and express the Fourier coefficients of \({\mathcal L}^*_g(f)\) in terms of the Fourier coefficients of \(f\) and \(g\).
Suh, DY Suh, Dong-Youp, Lee, MH Lee, Min-Ho   +1 more
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On Cusp Forms of Weight 9/2

gmj, 2006
Abstract The modular properties of general theta-functions with characteristics are used to build a cusp form of weight 9/2.
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Disappearance of Cusp Forms in Special Families

The Annals of Mathematics, 1994
Real analytic cusp forms and Eisenstein series of weight zero are the automorphic forms occurring in the spectral decomposition of the Laplace operator on quotients of the upper half plane \({\mathcal H}\) by cofinite discrete groups. These quotients are Riemann surfaces with a hyperbolic structure.
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