1,721,529 research outputs found
On the Atkin U_T-operator for Γ_0(T)-invariant drinfeld cusp forms
Full text linkWe study the Atkin Ut operator for Drinfeld cusp forms. In particular, we define newforms and oldforms of level Γ0(t) and we study basic properties of their slopes. Moreover, we find an explicit formula for the matrix associated to the action of Ut on Γ1(t)-invariant cusp forms using Teitelbaum’s interpretation as harmonic cocycles
Shaping identities through Street Art. Iconography of social claims in Orgosolo’s Murales.
No full textRepresenting and Visualizing Archaeology. The Contribution of Graphic Sciences to Research in Archaeology
No full textLinee come limiti. il superamento della dicotomia città-campagna: una questione di rappresentazione
No full textDrinfeld cusp forms: oldforms and newforms
No full textLet p=(P) be any prime of Fq[t], let m be any ideal of Fq[t] not divisible by p and consider the space of Drinfeld cusp forms of level mp, i.e. for the modular group Γ0(mp). Using degeneracy maps, traces and Fricke involutions we offer definitions for p-oldforms and p-newforms which turn out to be subspaces stable with respect to the action of the Atkin operator UP. We provide eigenvalues and/or slopes for p-oldforms and p-newforms and a condition to get the whole space of cusp forms as the direct sum between them
On the Structure and Slopes of Drinfeld Cusp Forms
Full text linkWe 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 (Formula presented.) on cusp forms of level t and use it to compute tables of slopes of eigenforms. Building on such data, we formulate conjectures on bounds for slopes, on the diagonalizability of (Formula presented.) and on various other issues. Via the explicit form of the matrix U we are then able to verify our conjectures in various cases (mainly in small weights)
Mapping and visualisation on of health data. The contribution on of the graphic sciences to medical research from New York yellow fever to China Coronavirus.
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