| RUS ENG |
| Full version |
|
|
|
| VIDEO LIBRARY |
|
Constructive Methods of the Theory of Riemann Surfaces and Applications
|
|||
|
|
|||
|
Summation of Poincaré theta series in the Schottky model S. Yu. Lyamaevab a Moscow Center for Fundamental and Applied Mathematics b Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences, Moscow |
|||
|
Abstract: New algorithms for approximate summation of linear Poincaré theta series in the Schottky model of real hyperelliptic curves are proposed. As a result, for the same output accuracy estimate, the amount of computations is reduced by several times in the case of slow convergence and by tens of percent in the usual situations. For the sum of the Poincaré series over the subtree on descendants of a given node, a new estimate in terms of the series member at this node is obtained. Language: English |
|||