On the polynomial sharp upper estimate conjecture in 7-dimensional simplex

DOI10.1016/j.jnt.2015.08.012zbMath1396.11119OpenAlexW2121319981WikidataQ123317499 ScholiaQ123317499MaRDI QIDQ897542

Beihui Yuan, Huaiqing Zuo, Stephen Shing-Toung Yau

Publication date: 7 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2015.08.012

zbMATH Keywords

simplexintegral pointssharp estimate

Mathematics Subject Classification ID

Lattice points in specified regions (11P21) Computational number theory (11Y99)

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A sharp lower bound for the geometric genus and Zariski multiplicity question

Cites Work

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• Coordinate-free characterization of homogeneous polynomials with isolated singularities
• An upper estimate of integral points in real simplices with an application to singularity theory
• On the GLY conjecture of upper estimate of positive integral points in real right-angled simplices
• The signature of smoothings of complex surface singularities
• Toric varieties, lattice points and Dedekind sums
• Lower estimate of Milnor number and characterization of isolated homogeneous hypersurface singularities
• Complete characterization of isolated homogeneous hypersurface singularities
• Isolated singularities defined by weighted homogeneous polynomials
• Quasihomogeneous isolated singularities of hyperplanes.
• Counting the Number of Integral Points in General n-Dimensional Tetrahedra and Bernoulli Polynomials
• A sharp polynomial estimate of positive integral points in a 4-dimensional tetrahedron and a sharp estimate of the Dickman-de Bruijn function
• Sur un probl?me de g?om?trie diophantienne lin?aire. I. Poly?dres et r?seaux.