Octavio A. Agustín-Aquino

activity

20132026

most citedModulation in Tetradic Harmony and its Role in Jazz

3 citations · 7 across the 9 of their papers we have counts for

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4 papers · 1 filter

math.CO2026

Cyclic Sieving for Strong Dichotomy Enumeration

Octavio A. Agustín-Aquino

Agustín-Aquino solved, in terms of the table of marks of $\Aff(\mathbb{Z}/2k\mathbb{Z})$, the problem of enumerating the classes of bicolour self-complementary and rigid patterns i…

math.CO2016

Archimedes' quadrature of the parabola and minimal covers

Octavio A. Agustín-Aquino

The generalization of Archimedes strategy to obtain the area of a parabolic segment leads to combinatorial formulas involving minimal covers of sets. These, in turn, are conjectura…

math.CO2014

Enumeration of strong dichotomy patterns

Octavio A. Agustín-Aquino

We apply the version of Pólya-Redfield theory obtained by White to count patterns with a given automorphism group to the enumeration of strong dichotomy patterns, that is, we count…

math.CO2013

A note on a sumset in $Z_{2 k}$

Octavio A. Agustín-Aquino

Let $A$ and $B$ be additive sets of $Z_{2 k}$ , where $A$ has cardinality $k$ and $B = v . ∁ A$ with $v \in Z_{2 k}^{\times}$ . In this note some bounds for the c…

Cyclic Sieving for Strong Dichotomy Enumeration

Archimedes' quadrature of the parabola and minimal covers

Enumeration of strong dichotomy patterns

A note on a sumset in Z2k​

A note on a sumset in $Z_{2 k}$