Revision #678 → #1628 · back to history
addedBasic theta function example020d5a757c1c
addedGenerating function for sums of two squares4687b34e7216
addedQuasiperiodicity of theta functions91f39d1e1e1f
addedJacobi theta functionf1de87091456
added1-periodicity in z091f657487b5
addedτ-quasiperiodicity in zac8130a03ed2
addedGeneral quasiperiodicity relation8eb68b64181d
addedNot doubly periodic (Liouville)cab97a4e0440
addedMost general entire function with 2 quasi-periods038d3bc92582
addedAuxiliary (half-period) theta functionsf1bd957315a8
addedTheta Nullwert functions / theta constants8b975d36e958
addedJacobi identity (Fermat curve of degree four)b9d11d2d8fcf
addedModular transformation of theta functions37aac3f4041b
addedTheta functions in terms of w and the nomeff0a4c8189a6
addedJacobi triple product140ff2b9146b
addedProduct formula for the theta function058c01457012
addedProduct formulas for auxiliary theta functions561cb5d7a8e3
addedOne-parameter deformations interpretation6734de42ab29
addedIntegral representations of Jacobi theta functionse405980e1547
addedTheta Nullwert integral identitydf25a4697e91
addedIntegral representation examplesecb8e18bdbba
addedLemniscatic theta valuesd77a48f40ac8
addedValues via hyperbolic lemniscatic sinec271477b171f
addedLemniscatic modular identities6218eb28f0e5
addedRogers–Ramanujan continued fraction92f3b064ad53
addedEquianharmonic theta values (Berndt)cbe41cc2a2b0
addedTheta values via the gamma functiona45f52e18b55
addedNome transformation formulasc1607549e22c
addedPythagorean-triple pattern of theta squares331be8b77a09
addedTheta values of the cube of the nome725759fe4773
addedTheta values of the fifth power of the nomee0e5fbe5720f
addedTheta values from the cube root of the nome7bf1634ebc31
addedRogers–Ramanujan fraction via theta5f4683c195e3
addedIdentities for S(q)344ed31c54da
addedTheta values from the fifth root of the nome115889a35ba1
addedFormulas for the square of the elliptic nome825066990c00
addedFormula for the cube of the nome3baa9485da67
addedSum of reciprocals of odd-index Fibonacci numbersebb1ff2fe4dd
addedIdentity between two sumsa7fdaefbed02
addedSum of reciprocals of Fibonacci squaresad3404d4c66a
addedSum of reciprocals of odd-index Pell numbers273e84df212f
addedMező series identities3eb1c0162352
addedParameter-free specialized sums8258d8011746
addedZeros of the Jacobi theta functions7951e38b6c42
addedTheta relation for Riemann zeta functional equation1c63823d115a
addedWeierstrass elliptic function from thetaa55e525c9c0e
addedRelation to the Jackson q-gamma functiona70487f025b8
addedRelations to the Dedekind eta functionecfea352a9ab
addedElliptic modulus3a7e7794c5fd
addedComplementary elliptic modulus8fcc5ea1f342
addedComplete elliptic integral of the second kind8ee698c8abc9
addedMacLaurin series of Nullwert derivatives877199a19b58
addedDerivatives of theta zero-value functionsa944d9c046c1
addedRelation between two theta derivative functions84ca21eadc89
addedDerivatives of theta quotients8721fed0ae24
addedIntegrals of theta functions27e16622f894
addedTheta as fundamental solution of heat equation26495fb95da0
addedApproach to Dirac comb as t→013c7177e012e
addedGeneral periodic heat solutions by convolutiondb1486c48fe1
addedInvariance under Heisenberg subgroup1347459f3ec7
addedTheta function of a quadratic form6054d5bf9b30
addedTheta of quadratic form is a modular form126c5a42a02b
addedRepresentation numbers of a form81cf005b10b2
addedTheta series of a Dirichlet character504551bea24d
addedSiegel upper half-spacea8b08cbde309
addedRiemann theta functionde5796d9ac7e
addedConvergence of Riemann theta947aac331317
addedFunctional equation of Riemann theta4a9e725e9f2a
addedPoincaré seriesd92e476f1e35
addedEuler beta function (reduced form)c4c81f9b0829
addedGeneral Euler beta function formula785ce42a8699
addedLemniscatically elliptic antiderivatived066061ac444
addedEquianharmonic elliptic antiderivativeb0384326435d
addedElliptic antiderivative2eb61d7e0982
addedImportant elliptic nome valuese2ca76825302
addedExemplary theta zero values3459107a31e5
addedRegular partition sequencec835963638c3
addedGenerating function of regular partitions27341489e126
addedPentagonal number theorem5f716f8eb67e
addedPentagonal and card house numbers628abd164101
addedThird power of the Euler product34ec606f3973
addedStrict partition sequence2a8297d0946e
addedGenerating function of strict partitions1c5bf4cf518d
addedMaclaurin series for reciprocal of ϑ0120911401596a
addedOverpartition functionb81295038c5a
addedSuperpartitions from P and Q8dd2993e0208
addedCombination of two sum series via ϑ0139a30610b8b5