On Sylvester sums of compound sequence semigroup complements

DOI10.1016/j.jnt.2017.03.025zbMath1376.14033arXiv1612.04766OpenAlexW2619738001MaRDI QIDQ2401185

Caleb McKinley Shor, T. Alden Gassert

Publication date: 31 August 2017

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.04766

zbMATH Keywords

numerical semigroupsFrobenius numberWeierstrass pointstowerssuperelliptic curvesSylvester sumscompound sequencesnon-representable numbers

Mathematics Subject Classification ID

Riemann surfaces; Weierstrass points; gap sequences (14H55) Representation problems (11D85) The Frobenius problem (11D07) Arithmetic theory of semigroups (20M13)

Related Items (3)

Unnamed Item ⋮ On Free Numerical Semigroups and the Construction of Minimal Telescopic Sequences ⋮ Characterizations of numerical semigroup complements via Apéry sets

Cites Work

• Theta functions and symmetric weight enumerators for codes over imaginary quadratic fields
• Numerical semigroups.
• The red book of varieties and schemes. Includes the Michigan lectures (1974) on ``Curves and their Jacobians.
• The Frobenius problem, sums of powers of integers, and recurrences for the Bernoulli numbers
• Numerical Semigroups on Compound Sequences
• Algebraic Function Fields and Codes
• Some arithmetic properties of Weierstrass points: Hyperelliptic curves
• Higher-order Weierstrass weights of branch points on superelliptic curves
• Weierstrass points on cyclic covers of the projective line
• Weierstrass points of superelliptic curves
• On numerical semigroups
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