What question did this study set out to answer?

The research aims to close the conditional statements regarding the normalization of skew staircase Schur functions and to confirm the rank hypothesis in every genus.

July 20, 2026Open Access

A band lemma for skew staircase Schur functions, the closed normalization of Wolstenholme determinants, and rank certificates in every genus

View Full Paper

Ask AI

Bookmark

Authors

JSJosé Cláudio da SilvaUniversidade Estadual de Londrina

Discussion

Member takes

Implication

This work proves normalization of Schur functions and establishes unconditioned rank in all genera, suggesting significant structures.

Key Points

The research aims to close the conditional statements regarding the normalization of skew staircase Schur functions and to confirm the rank hypothesis in every genus.
Proved the normalization of ρ*(g,a) through canonical minor det A using skew Jacobi–Trudi determinants.
Demonstrated a band lemma via forced-column factorization of semistandard tableaux.
Conducted computation of prime factors in determinants and analyzed Dirichlet deformation effects.
Confirmed that det A has all prime factors ≤ 2a−3 < 2g+3, validating the rank hypothesis unconditionally.
Found the amplification rigid under Dirichlet deformation, isolating the classical case.
Identified 69 sporadic primes with excess exactly +1 in extended census to p < 10⁵, matching predictions.

Cite This Study

José Cláudio da Silva (2026) studied this question.

synapsesocial.com/papers/6a5dbad58bd453d3397abf64 https://doi.org/10.5281/zenodo.21435236

View Full Paper

Ask AI

Bookmark

A band lemma for skew staircase Schur functions, the closed normalization of Wolstenholme determinants, and rank certificates in every genus

Discussion

Member takes

Implication

Key Points

Cite This Study

A band lemma for skew staircase Schur functions, the closed normalization of Wolstenholme determinants, and rank certificates in every genus

Discussion

Member takes

Implication

Key Points

Cite This Study

Also Consider

Also Consider