ag-gipp/GoUldI

<math xmlns='http://www.w3.org/1998/Math/MathML' display='inline'><semantics><mrow><msub><mi>θ</mi> <mn>3</mn></msub><mrow><mo>(</mo><mi>π</mi><mi>z</mi><mo stretchy="false">|</mo><mi>τ</mi><mo>)</mo></mrow><mo>=</mo><msub><mi>θ</mi> <mn>3</mn></msub><mrow><mo>(</mo><mn>0</mn><mo stretchy="false">|</mo><mi>τ</mi><mo>)</mo></mrow><mi>exp</mi><mrow><mo>(</mo><mo lspace="verythinmathspace" rspace="0em">−</mo><msubsup><mo>∑</mo> <mrow><mi>j</mi><mo>=</mo><mn>1</mn></mrow> <mn>∞</mn></msubsup><mfrac><mn>1</mn><mrow><mn>2</mn><mi>j</mi></mrow></mfrac><msub><mi>β</mi> <mrow><mn>2</mn><mi>j</mi></mrow></msub><mo stretchy="false">(</mo><mi>τ</mi><mo stretchy="false">)</mo><msup><mi>z</mi> <mrow><mn>2</mn><mi>j</mi></mrow></msup><mo>)</mo></mrow></mrow><annotation encoding='application/x-tex'>\theta_{3}\left(\pi z | \tau\right)=\theta_{3}\left(0 | \tau\right)\exp\left(-\sum_{j=1}^{\infty}\frac{1}{2j}\beta_{2j}(\tau)z^{2j}\right)</annotation></semantics></math>