cusp form
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Cusp form — In number theory, a branch of mathematics, a cusp form is a particular kind of modular form, distinguished in the case of modular forms for the modular group by the vanishing in the Fourier series expansion (see q expansion) Σanqn of the constant … Wikipedia
Cusp — may refer to: Beach cusps, a pointed and regular arc pattern of the shoreline at the beach Behavioral cusp (psychology) an important behavior change with far reaching consequences Cusp catastrophe Cusp (astrology), a boundary between zodiac signs … Wikipedia
Cusp — Cette page d’homonymie répertorie les différents sujets et articles partageant un même nom. Le terme cusp est un terme mathématique anglais recouvrant plusieurs notions distinctes. Parfois employé tel quel dans les textes mathématiques français,… … Wikipédia en Français
Cusp (mathématiques) — Forme parabolique En mathématiques, une forme parabolique (parfois appelée forme cuspidale, selon l anglais cusp form) est une forme modulaire vérifiant des conditions d annulation aux pointes. Portail des mathématiques Ce document provient de «… … Wikipédia en Français
Cusp (singularity) — An ordinary cusp on the curve x3–y2=0 In the mathematical theory of singularities a cusp is a type of singular point of a curve. Cusps are local singularities in that they are not formed by self intersection points of the curve. The plane curve… … Wikipedia
cusp — cuspal, adj. /kusp/, n. 1. a point or pointed end. 2. Anat., Zool., Bot. a point, projection, or elevation, as on the crown of a tooth. 3. Also called spinode. Geom. a point where two branches of a curve meet, end, and are tangent. 4. Archit. a… … Universalium
Cusp — In reference to heart valves, one of the triangular segments of the valve which opens and closes with the flow of blood. In reference to teeth, a raised area of the biting surface. * * * 1. In dentistry, a conical elevation arising on the surface … Medical dictionary
cusp — n. 1) any of the cone shaped prominences on teeth, especially the molars and premolars. 2) a pocket or fold of the membrane (endocardium) lining the heart or of the layer of the wall of a vein, several of which form a valve. When the blood flows… … The new mediacal dictionary
Modular form — In mathematics, a modular form is a (complex) analytic function on the upper half plane satisfying a certain kind of functional equation and growth condition. The theory of modular forms therefore belongs to complex analysis but the main… … Wikipedia
Automorphic form — In mathematics, the general notion of automorphic form is the extension to analytic functions, perhaps of several complex variables, of the theory of modular forms. It is in terms of a Lie group G, to generalise the groups SL2(R) or PSL2 (R) of… … Wikipedia
Mock modular form — In mathematics, a mock modular form is the holomorphic part of a harmonic weak Maass form, and a mock theta function is essentially a mock modular form of weight 1/2. The first examples of mock theta functions were described by Srinivasa… … Wikipedia
