| 31. | Riemann used theta functions in several variables and reduced the problem to the determination of the zeros of these theta functions.
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| 32. | Riemann used theta functions in several variables and reduced the problem to the determination of the zeros of these theta functions.
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| 33. | The main techniques are the Jacobi theta functions and the construction of a new class of elliptic operators associated to foliations.
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| 34. | He proved the functional equation for the zeta function ( already known to Euler ), behind which a theta function lies.
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| 35. | The fourth theta function and thus the others too is intimately connected to the Jackson-gamma function via the relation
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| 36. | The Jacobi theta function is then a special case, with 1 } } and where is the upper half-plane.
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| 37. | Where \ theta _ { m } and \ vartheta _ { ij } are alternative notations for the Jacobi theta functions.
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| 38. | The image of Gaussian functions under the Weil Brezin map are nil-theta functions, which are related to theta functions.
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| 39. | The image of Gaussian functions under the Weil Brezin map are nil-theta functions, which are related to theta functions.
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| 40. | 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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