Theta Function - Zeros of The Jacobi Theta Functions

Zeros of The Jacobi Theta Functions

All zeros of the Jacobi Theta Functions are simple zeros and are given by the following:

where m,n are arbitrary integers.

Read more about this topic:  Theta Function

Famous quotes containing the words jacobi and/or functions:

    ... the most important effect of the suffrage is psychological. The permanent consciousness of power for effective action, the knowledge that their own thoughts have an equal chance with those of any other person ... this is what has always rendered the men of a free state so energetic, so acutely intelligent, so powerful.
    —Mary Putnam Jacobi (1842–1906)

    Mark the babe
    Not long accustomed to this breathing world;
    One that hath barely learned to shape a smile,
    Though yet irrational of soul, to grasp
    With tiny finger—to let fall a tear;
    And, as the heavy cloud of sleep dissolves,
    To stretch his limbs, bemocking, as might seem,
    The outward functions of intelligent man.
    William Wordsworth (1770–1850)