On determination of GL₃ cusp forms
Qingfeng Sun (2012)
Acta Arithmetica
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Displaying similar documents to “A local large sieve inequality for cusp forms”
On determination of GL₃ cusp forms
On Hecke L-functions associated with cusp forms
A. Sankaranarayanan (2003)
Acta Arithmetica
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Bilinear forms in the Fourier coefficients of half-integral weight cusp forms and sums over primes.
H. Iwaniec, W. Duke (1990)
Mathematische Annalen
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On a short spectral sum involving inner products of a holomorphic cusp form and Maass forms
Eeva Suvitie (2010)
Acta Arithmetica
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Siegel Cusp Forms as Holomorphic Differential Forms on Certain Compact Varieties.
Kazuyuki Hatada (1983)
Mathematische Annalen
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Automorphic -functions in the weight aspect.
Fomenko, O.M. (2004)
Zapiski Nauchnykh Seminarov POMI
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On the asypmtotic formula of Kuznetsov and existence of generic cusp forms.
Andrei Reznikov (1993)
Mathematische Zeitschrift
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On the products of Hecke L-functions of holomorphic cusp forms
Bogdan Szydło (2007)
Acta Arithmetica
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Shimura lifting on weak Maass forms
Youngju Choie, Subong Lim (2016)
Acta Arithmetica
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There is a Shimura lifting which sends cusp forms of a half-integral weight to holomorphic modular forms of an even integral weight. Niwa and Cipra studied this lifting using the theta series attached to an indefinite quadratic form; later, Borcherds and Bruinier extended this lifting to weakly holomorphic modular forms and harmonic weak Maass forms of weight 1/2, respectively. We apply Niwa's theta kernel to weak Maass forms by using a regularized integral. We show that the lifted function...
Eisenstein series and Poincaré series for mixed automorphic forms.
Min Ho Lee (2000)
Collectanea Mathematica
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Mixed automorphic forms generalize elliptic modular forms, and they occur naturally as holomorphic forms of the highest degree on families of abelian varieties parametrized by a Riemann surface. We construct generalized Eisenstein series and Poincaré series, and prove that they are mixed automorphic forms.
Finite spanning sets for cusp forms and a related geometric result.
Svetlana Katok (1989)
Journal für die reine und angewandte Mathematik
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Real zeros of holomorphic Hecke cusp forms
Amit Ghosh, Peter Sarnak (2012)
Journal of the European Mathematical Society
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This note is concerned with the zeros of holomorphic Hecke cusp forms of large weight on the modular surface. The zeros of such forms are symmetric about three geodesic segments and we call those zeros that lie on these segments, real. Our main results give estimates for the number of real zeros as the weight goes to infinity.
Nonvanishing of automorphic L-functions at special points
Zhao Xu (2014)
Acta Arithmetica
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At some special points, we establish a nonvanishing result for automorphic L-functions associated to the even Maass cusp forms in short intervals by using the mollification technique.
Introduction to Kloostermania
M. N. Huxley (1985)
Banach Center Publications
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On Petersson Norms for Some Liftings.
Masaaki Furusawa (1984)
Mathematische Annalen
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Linear Dependence Of Powers Of Linear Forms
Andrzej Sładek (2015)
Annales Mathematicae Silesianae
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The main goal of the paper is to examine the dimension of the vector space spanned by powers of linear forms. We also find a lower bound for the number of summands in the presentation of zero form as a sum of d-th powers of linear forms.