6 citations · 12 across the 11 of their papers we have counts for
11 papers
A number-theoretic problem concerning pseudo-real Riemann surfaces
Gareth A. Jones, Alexander K. Zvonkin
Motivated by their research on automorphism groups of pseudo-real Riemann surfaces, Bujalance, Cirre and Conder have conjectured that there are infinitely many primes such that…
Orders of simple groups and the Bateman--Horn Conjecture
Gareth A. Jones, Alexander K. Zvonkin
We use the Bateman--Horn Conjecture from number theory to give strong evidence of a positive answer to Peter Neumann's question, whether there are infinitely many simple groups of…
Groups of prime degree and the Bateman-Horn Conjecture
Gareth A. Jones, Alexander K. Zvonkin
As a consequence of the classification of finite simple groups, the classification of permutation groups of prime degree is complete, apart from the question of when the natural de…
Block designs and prime values of polynomials
Gareth A. Jones, Alexander K. Zvonkin
A recent construction by Amarra, Devillers and Praeger of block designs with specific parameters depends on certain quadratic polynomials, with integer coefficients, taking prime p…
Klein's ten planar dessins of degree 11, and beyond
Gareth A. Jones, Alexander K. Zvonkin
We reinterpret ideas in Klein's paper on transformations of degree from the modern point of view of dessins d'enfants, and extend his results by considering dessins of type $(…
Hurwitz groups as monodromy groups of dessins: several examples
Gareth A. Jones, Alexander K. Zvonkin
We present a number of examples to illustrate the use of small quotient dessins as substitutes for their often much larger and more complicated Galois (minimal regular) covers. In…