focalinterest.com

Tag: Exponential function

  • Split semi-elliptic conjecture links elliptic functions and period conjectures

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    What the study found The authors propose a split semi-elliptic conjecture for the split case of an extension of an elliptic curve by the multiplicative group, written as G = Gm × E. They also state that this conjecture is equivalent to the Grothendieck-André generalized period conjecture for a specific 1-motive. Why the authors say…

  • Elliptic and quasi-elliptic functions satisfy Schanuel-type independence

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    What the study found The paper gives examples involving elliptic and quasi-elliptic functions for which algebraic independence is proved. These examples include z, the Weierstrass function wp(z), zeta function zeta(z), sigma function sigma(z), exponential functions, and Serre functions related to integrals of the third kind. Why the authors say this matters The authors state that…