theta function वाक्य
उदाहरण वाक्य
मोबाइल
- The importance of this concept was realised first in the analytic theory of theta functions, and geometrically in the theory of bitangents.
- However, application of this formula in practice is difficult because the relevant hyperelliptic integrals and higher genus theta functions are very complex.
- Hecke found generalised characters of number fields, now called Hecke characters, for which his proof ( based on theta functions ) also worked.
- A ratio of Jacobi theta functions \ theta _ { m }, and is the square of the elliptic modulus k ( \ tau ).
- Zwegers's fundamental result shows that mock theta functions are the " holomorphic parts " of real analytic modular forms of weight 1 / 2.
- Later in his career, Coble also studied the relations between hyperelliptic theta functions, irrational binary invariants, the Weddle surface and the Kummer surface.
- His research was on differential geometry ( especially geodesics on " n "-dimensional manifolds ), Riemann surfaces, and theta functions.
- If is fixed, this becomes a Fourier series for a periodic entire function of with period 1; in this case, the theta function satisfies the identity
- When integrating over surfaces such as the torus, we end up with equations in terms of theta functions and elliptic functions such as the Dedekind eta function.
- General solutions of the spatially periodic initial value problem for the heat equation may be obtained by convolving the initial data at 0 } } with the theta function.
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