Jacobi zeta function
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21: 27.18 Methods of Computation: Primes
22: Errata
Specific source citations and proof metadata are now given for all equations in Chapter 25 Zeta and Related Functions.
The Weierstrass zeta function was incorrectly linked to the definition of the Riemann zeta function. However, to the eye, the function appeared correct. The link was corrected.
The original constraint, , was removed because, as stated after (25.2.1), is meromorphic with a simple pole at , and therefore is an entire function.
Suggested by John Harper.
A number of additions and changes have been made to the metadata to reflect new and changed references as well as to how some equations have been derived.
Originally a minus sign was missing in the entries for and in the second column (headed ). The correct entries are and . Note: These entries appear online but not in the published print edition. More specifically, Table 22.4.3 in the published print edition is restricted to the three Jacobian elliptic functions , whereas Table 22.4.3 covers all 12 Jacobian elliptic functions.
Reported 2014-02-28 by Svante Janson.