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20082022
most citedIdentities for hyperelliptic P-functions of genus one, two and three in covariant form

14 citations · 28 across the 7 of their papers we have counts for

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3 papers · 1 filter

math-ph2016

Invariants of hyperbolic Partial Differential Operators

Chris Athorne, Halis Yilmaz

We present a construction of a large class of Laplace invariants for linear hyperbolic partial differential operators of fairly general form and arbitrary order.

math-ph2012★ 1 cited

Building Abelian Functions with Generalised Baker-Hirota Operators

Matthew England, Chris Athorne

We present a new systematic method to construct Abelian functions on Jacobian varieties of plane, algebraic curves. The main tool used is a symmetric generalisation of the bilinear…

math-ph2011★ 1 cited

Generalised Elliptic Functions

Matthew England, Chris Athorne

We consider multiply periodic functions, sometimes called Abelian functions, defined with respect to the period matrices associated with classes of algebraic curves. We realise the…