Results 21 to 30 of about 2,587,264 (278)
, 2022 This is a brochure introducing the research goals and strategies that unite the five research projects collaborating within the CUSP Cluster, as well as each of the projects themselves.
CUSP
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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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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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Diagonalizing Hilbert cusp forms [PDF]
Pacific Journal of Mathematics, 1995 It is well known that the space of Hilbert cusp forms \(S_k ({\mathcal N}, \psi)\) of Hecke character \(\psi\) decomposes into a direct sum of common eigenspaces for the Hecke operators \(\{T_p \mid p \nmid {\mathcal N}\}\) which are invariant under the Hecke operators \(\{T_q \mid q |{\mathcal N}\}\).
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Poincaré series for modular graph forms at depth two. Part II. Iterated integrals of cusp forms
Journal of High Energy Physics, 2022 We continue the analysis of modular invariant functions, subject to inhomogeneous Laplace eigenvalue equations, that were determined in terms of Poincaré series in a companion paper. The source term of the Laplace equation is a product of (derivatives of)
Daniele Dorigoni +2 more
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On the argument of zeta-functions of certain cusp forms
Lietuvos Matematikos Rinkinys, 2005 There is not abstract.
Rūta Ivanauskaitė
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Transient plasma injections in the dayside magnetosphere: One-to-one correlated observations by cluster and by SuperDARN [PDF]
, 2004 Conjunctions in the cusp between the four Cluster spacecraft and SuperDARN ground-based radars offer unique opportunities to compare the signatures of transient plasma injections simultaneously in the high-altitude dayside magnetosphere and in the ...
Laakso, H. +8 more
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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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A limit theorem for zeta-functions of normalized cusp forms
Lietuvos Matematikos Rinkinys, 2002 There is not abstract.
Antanas Laurinčikas
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Cluster observations of the midaltitude cusp under strong northward interplanetary magnetic field [PDF]
, 2008 We report on a multispacecraft cusp observation lasting more than 100 min. We determine the cusp boundary motion and reveal the effect on the cusp size of the interplanetary magnetic field (IMF) changing from southward to northward.
Reme, Henri +17 more
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