A347368 Number of signatures of Fuchsian groups leading to automorphism groups of Riemann surfaces of genus n.

20, 41, 56, 65, 75, 98, 92, 135, 168, 145, 167, 222, 183, 254, 283, 281, 277, 398, 337, 436, 441, 391, 499, 637, 542, 638, 731, 689, 736, 921, 805, 950, 1019, 1013, 1150, 1346, 1140, 1325, 1518, 1520, 1535, 1805, 1670, 1946, 2084, 1950, 2167

Offset: 2

Author

Eric M. Schmidt, Aug 29 2021

Keywords

• nonn
• hard

Comments

This includes signatures leading to subgroups of the full automorphism group.

Breuer's book erroneously gives a(33) = 949. (See errata.)

References

• Thomas Breuer, Characters and automorphism groups of compact Riemann surfaces, Cambridge University Press, 2000, p. 91.

Links

• Thomas Breuer, Errata et Addenda for Characters and Automorphism Groups of Compact Riemann Surfaces.
• Jen Paulhus, Branching data for curves up to genus 48.

Crossrefs

Cf. A179982, A346293, A347369, A347370, A347371, A347372, A347373.

Formula

a(n) = A347369(n) + A347370(n).