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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

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4 results for “Euler-Ramanujan”

On Finite and Infinite Decompositions of Zero Mean Curvature Graphsmath.DG

Derive new Euler-Ramanujan-type identities and infinite decompositions for zero mean curvature graphs in various spaces.

problem Derive new Euler-Ramanujan-type identities and infinite decompositions for zero mean curvature graphs in various spaces.

method Derive new Euler-Ramanujan-type identities and infinite decompositions for zero mean curvature graphs in various spaces.

result Derive new Euler-Ramanujan-type identities and infinite decompositions for zero mean curvature graphs in various spaces.

Euler-Ramanujan decompositions zero mean curvature graphs spaces

2026-06-10abs ↗pdf ↗

Finite Decomposition of Minimal surfaces, Maximal surfaces, Timelike Minimal surfaces and Born-Infeld solitonsmath.DG

The height function of various surfaces decomposes into finite sums of scaled and translated versions of itself.

problem Decomposing the height function of different types of surfaces into simpler components.

method Using Euler-Ramanujan identities and Weierstrass-Enneper representation to decompose height functions of minimal, maximal, timelike minimal, and Born-Infeld surfaces.

result The height function of various surfaces can be expressed as a finite sum of scaled and translated versions of itself.

surface decomposition height function Euler-Ramanujan identity minimal surfaces maximal surfaces

2020-10-09abs ↗pdf ↗

Decompositions of Scherk-Type Zero Mean Curvature Surfacesmath.DG

The paper shows how Scherk-type surfaces can be decomposed into helicoids.

problem Decomposing Scherk-type zero mean curvature surfaces.

method Using a special Euler-Ramanujan identity and Wick rotation, the paper expresses these surfaces as an infinite superposition of dilated helicoids and provides different finite decompositions.

result Scherk-type zero mean curvature surfaces can be expressed as an infinite superposition of dilated helicoids.

Scherk surfaces zero mean curvature Euler-Ramanujan identity Wick rotation helicoids

2025-06-25abs ↗pdf ↗

A Correspondence Between Maximal Surfaces and Timelike Minimal Surfaces in

\mathbb{L}^3

math.DG

We show that to every maximal surface with conelike singularities in Lorentz-Minkowski space $\mathbb{L}^3$ that can be locally represented as the graph of a smooth function, there exists a corresponding timelike minimal surface in $\mathbb{L}^3$ . There exists a linear transformation between such a maximal surface and …

2019-09-17abs ↗pdf ↗