3 citations · 3 across the 9 of their papers we have counts for
4 papers · 1 filter
Algebraic solution of the Jacobi inverse problem and explicit addition laws
Yaacov Kopeliovich
We formulate a solution to the Algebraic version of the Inverse Jacobi problem. Using this solution we produce explicit addition laws on any algebraic curve generalizing the law su…
The fundamental group of compact Riemann surface
Yaacov Kopeliovich
We derive presentation and relations for a group of compact Riemann surface that is given as branched cover of the sphere. In the case that one of the permutations is of full cycle…
Modular equations of order and Theta functions
Yaacov Kopeliovich
An algorithm to obtain equations between theta functions with integral characteristics evaluated at and for is presented.
Theta constants identities for Jacobians of cyclic 3-sheeted covers of the sphere and representations of the symmetric group
Yaacov Kopeliovich
We find identities between theta constants with rational characteristics evaluated at period matrix of a cyclic 3 sheeted cover of the sphere with branch points $λ_1...λ_…