Results 11 to 20 of about 78,625 (277)
Distribution of mass of holomorphic cusp forms [PDF]
Duke Mathematical Journal, 2013 We prove an upper bound for the L^4-norm and for the L^2-norm restricted to the vertical geodesic of a holomorphic Hecke cusp form of large weight. The method is based on Watson's formula and estimating a mean value of certain L-functions of degree 6 ...
Blomer, Valentin +2 more
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Proceedings of the National Academy of Sciences, 1985 It is shown that, under certain standard assumptions, such as extended Riemann hypotheses, the scattering matrix ϕ( s ) for generic Γ ≤ SL(2, R) is unexpectedly of order 2. This leads to the conjecture that the generic cofinite Γ has very few Maass cusp forms.
Deshouillers, J.-M. +3 more
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Superlacunary cusp forms [PDF]
Proceedings of the American Mathematical Society, 1995 A power series is called superlacunary if it has the form \[ f(x)= \sum_{n=-\infty}^\infty d(an^2+ bn+ c) x^{an^2+ bn +c} \] where \(a\), \(b\), \(c\) are integers with \(a>0\). The authors show there are no superlacunary integer weight cusp forms that are eigenforms of the Hecke operators \(T_p\).
Ono, Ken, Robins, Sinai
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On the lifting of Hilbert cusp forms to Hilbert-Siegel cusp forms [PDF]
Annales scientifiques de l'École normale supérieure, 2020 39 ...
Tamotsu, I., Yamana, S.
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Mathematics of Computation, 2014 We classify Siegel modular cusp forms of weight two for the paramodular group K(p) for primes p< 600. We find that weight two Hecke eigenforms beyond the Gritsenko lifts correspond to certain abelian varieties defined over the rationals of conductor p. The arithmetic classification is in a companion article by A. Brumer and K. Kramer.
Cris Poor, David S. Yuen
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Cusp forms as p-adic limits [PDF]
Journal of Number Theory, 2022 Ahlgren and Samart relate three cusp forms with complex multiplication to certain weakly holomorphic modular forms using $p$-adic bounds related to their Fourier coefficients. In these three examples, their result strengthens a theorem of Guerzhoy, Kent, and Ono which pairs certain CM forms with weakly holomorphic modular forms via $p$-adic limits ...
Michael Hanson, Marie Jameson
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Norms of integrable cusp forms [PDF]
Proceedings of the American Mathematical Society, 1988 The norms of modular cusp forms, viewed as belonging to the Bers’ spaces of integrable and bounded forms, are estimated in terms of the Fourier coefficients of the cusp form.
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On the Structure and Slopes of Drinfeld Cusp Forms [PDF]
Experimental Mathematics, 2019 We define oldforms and newforms for Drinfeld cusp forms of level $t$ and conjecture that their direct sum is the whole space of cusp forms. Moreover we describe explicitly the matrix $U$ associated to the action of the Atkin operator $\mathbf{U}_t$ on cusp forms of level $t$ and use it to compute tables of slopes of eigenforms.
Andrea Bandini, Maria Valentino
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Theta Constants and Cusp Forms [PDF]
Transactions of the American Mathematical Society, 1975 For principal congruence subgroups of levels 2 and 4 a basis for their cusp forms consisting of monomials of theta constants is displayed. Some conditions for the vanishing of Poincaré series of these groups are found.
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The dependence of cusp ion signatures on the reconnection rate [PDF]
Annales Geophysicae, 2003 The interpretation of structure in cusp ion dispersions is important for helping to understand the temporal and spatial structure of magnetopause reconnection.
S. K. Morley, M. Lockwood, M. Lockwood
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