Circular summation formulas for theta function ϑ4(z|τ)

Yun Zhou,Qiu-Ming Luo

Circular summation formulas for theta function ϑ4(z|τ)

2014

Yun Zhou
Qiu-Ming Luo

In this paper, we obtain the circular summation formulas of the theta function ϑ 4 ( z | τ ) and show the corresponding alternating summations and inverse relations. Some applications are also considered. MSC:11F27, 33E05.

Keywords:

Mathematical analysis
Poisson summation formula
Calculus
Summation equation
Functional analysis
Ordinary differential equation
Mathematics
Summation by parts
Partial differential equation
Numerical partial differential equations
Theta function
Inverse relation

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