On the Complete Evaluation of Jacobi Theta Functions

Abstract

Using numerical, theoretical and general methods, we construct evaluation formulas for the Jacobi $\theta$ functions. Some of our results are conjectures, but are verified numerically.

theta functions

References in corpus (2)

• Solutions by radicals at singular values k_N from new class invariants for N \equiv 3 mod 8
• Evaluations of certain theta functions in Ramanujan theory of alternative modular bases

Cited by in corpus (3)

• Evaluations of certain theta functions in Ramanujan theory of alternative modular bases
• Properties of Lerch Sums and Ramanujan's Mock Theta Functions
• Evaluations of Series Related to Jacobi Elliptic Functions