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searching for Cusp form 16 found (35 total)

alternate case: cusp form

Siegel modular form (1,665 words) [view diff] exact match in snippet view article find links to article

the theta function of the E8 lattice (of appropriate degree). The only cusp form is 0. Weight 5: The only Siegel modular form is 0. Weight 6: The space

Selberg zeta function (742 words) [view diff] exact match in snippet view article find links to article

data of the surface. The zeros are at the following points: For every cusp form with eigenvalue s 0 ( 1 − s 0 ) {\displaystyle s_{0}(1-s_{0})} there exists

Klingen Eisenstein series (277 words) [view diff] exact match in snippet view article find links to article

Siegel modular form of weight k and degree g depending on another Siegel cusp form f of weight k and degree r<g, given by a series similar to an Eisenstein

Miyawaki lift (181 words) [view diff] exact match in snippet view article find links to article

starts with a Siegel modular form of degree 1 and weight 2k, and a Siegel cusp form of degree r and weight k + n + r and constructs a Siegel form of degree

Schottky form (292 words) [view diff] exact match in snippet view article find links to article

In mathematics, the Schottky form or Schottky's invariant is a Siegel cusp form J of degree 4 and weight 8, introduced by Friedrich Schottky (1888, 1903)

Modular elliptic curve (1,161 words) [view diff] exact match in snippet view article find links to article

{\displaystyle f} . The function obtained in this way is, remarkably, a cusp form of weight two and level N and is also an eigenform (an eigenvector of

Shimura correspondence (317 words) [view diff] exact match in snippet view article find links to article

to the eigenvalue of Tn on f. Let f {\displaystyle f} be a holomorphic cusp form with weight ( 2 k + 1 ) / 2 {\displaystyle (2k+1)/2} and character χ {\displaystyle

Ikeda lift (207 words) [view diff] exact match in snippet view article find links to article

takes the Delta function (the weight 12 cusp form for SL2(Z)) to the Schottky form, a weight 8 Siegel cusp form of degree 4. Here k=6 and n=2. Duke, W

Eberhard Freitag (566 words) [view diff] exact match in snippet view article find links to article

with Rainer Weissauer and Richard Borcherds the existence of a Siegel cusp form of degree 12 and weight 12 using the theta series associated with the

Eigenform (305 words) [view diff] exact match in snippet view article find links to article

f corresponding to the Hecke operator Ti. In the case when f is not a cusp form, the eigenvalues can be given explicitly. An eigenform which is cuspidal

Trapalcotherium (812 words) [view diff] exact match in snippet view article find links to article

front triangle is less curved; the ridges attached to the second lingual cusp form another triangle; the tooth is relatively shorter; Trapalcotherium does

Modular symbol (237 words) [view diff] exact match in snippet view article find links to article

cusp forms f of weight 2 and modular symbols given by integrating the cusp form, or rather fdτ, along the path corresponding to the symbol. Manin, Ju

Langlands program (2,340 words) [view diff] exact match in snippet view article find links to article

the way was open to speculation about GL(n) for general n > 2. The 'cusp form' idea came out of the cusps on modular curves but also had a meaning visible

Eisenstein ideal (508 words) [view diff] exact match in snippet view article find links to article

σ11(n) ≡ τ(n) mod 691. The Hecke algebra of Hecke operators acting on the cusp form Δ is just isomorphic to Z. If we identify it with Z then the Eisenstein

Aaron Pixton (801 words) [view diff] exact match in snippet view article find links to article

Georg; Pixton, Aaron (2018), "Holomorphic anomaly equations and the Igusa cusp form conjecture", Inventiones Mathematicae, 213 (2): 507–587, arXiv:1706.10100

Voronoi formula (555 words) [view diff] exact match in snippet view article find links to article

integral operations on f than the Fourier transform. Let ƒ be a Maass cusp form for the modular group PSL(2,Z) and a(n) its Fourier coefficients. Let