theta function वाक्य
उदाहरण वाक्य
मोबाइल
- The theta function of a lattice is then a holomorphic function on the upper half-plane.
- One of the major achievements of Bernhard Riemann was his theory of complex tori and theta functions.
- This was also a beginning of a substantial development by others, connecting representation theory and theta functions.
- These formulas can, therefore, be used to define the Theta functions over other-adic numbers.
- In the analytic theory, there are four fundamental theta functions in the theory of Jacobian elliptic functions.
- This is applied in the theory of theta functions, and is a possible method in geometry of numbers.
- The next simplest cases of a disc or square involve, respectively, Bessel functions and Jacobi theta functions.
- The holomorphic parts of certain weak Maass wave forms turn out to be essentially Ramanujan's mock theta functions.
- The theta function of a unimodular positive definite lattice is a modular form whose weight is one half the rank.
- He worked with ideas related to those of Weierstrass, Riemann and Heinrich Weber on theta functions and Gaussian sums.
- Riemann used theta functions in several variables and reduced the problem to the determination of the zeros of these theta functions.
- Riemann used theta functions in several variables and reduced the problem to the determination of the zeros of these theta functions.
- The main techniques are the Jacobi theta functions and the construction of a new class of elliptic operators associated to foliations.
- He proved the functional equation for the zeta function ( already known to Euler ), behind which a theta function lies.
- The fourth theta function and thus the others too is intimately connected to the Jackson-gamma function via the relation
- The Jacobi theta function is then a special case, with 1 } } and where is the upper half-plane.
- Where \ theta _ { m } and \ vartheta _ { ij } are alternative notations for the Jacobi theta functions.
- The image of Gaussian functions under the Weil Brezin map are nil-theta functions, which are related to theta functions.
- The image of Gaussian functions under the Weil Brezin map are nil-theta functions, which are related to theta functions.
- We see that the theta functions can also be defined in terms of and, without a direct reference to the exponential function.
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