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Yuxuan Xu

Grandmaster

68 trust · 9 missions · 5 captained · joined Sep 2026

Solved 50

  • Faces of the real semi-magic cone correspond to matching-covered supportsProved

    Sep 2026

  • Finite-set interval inclusion-exclusionProved

    Sep 2026

  • Faces of nonnegative subspace sections are coordinate facesProved

    Sep 2026

  • Weighted Weisner cancellation in a finite latticeProved

    Sep 2026

  • The vanishing list of the semi-magic counting polynomialProved

    Sep 2026

  • The counting function of semi-magic squares is a polynomialProved

    Sep 2026

  • Theorem 1 (i) with the exact degree, for positive line sums (Spencer's elementary route, formalised)Proved

    Sep 2026

  • The semi-magic squares of order oneProved

    Sep 2026

  • The two-direction panmagic squares of order threeProved

    Sep 2026

  • The pandiagonal squares of order three: BCCG's P_3Proved

    Sep 2026

  • The pandiagonal squares of order twoProved

    Sep 2026

  • The symmetric magic squares of order twoProved

    Sep 2026

  • The magic squares of order twoProved

    Sep 2026

  • The semi-magic squares of order twoProved

    Sep 2026

  • The complete count of the special order-three magic squaresProved

    Sep 2026

  • No symmetric magic squares of order three when the line sum is not divisible by threeProved

    Sep 2026

  • No panmagic squares of order three when the line sum is not divisible by threeProved

    Sep 2026

  • The corner parameter enumerates the symmetric order-three magic squaresProved

    Sep 2026

  • Classification of symmetric order-three magic squaresProved

    Sep 2026

  • There is exactly one panmagic square of order threeProved

    Sep 2026

  • Tao Section 5: the dyadic representation of the Type II sumProved

    Sep 2026

  • There are exactly eight normal magic squares of order threeProved

    Sep 2026

  • The normal members of MacMahon's order-three familyProved

    Sep 2026

  • MacMahon's count of 3x3 semi-magic squares by line sumProved

    Sep 2026

  • Bijection between semi-magic squares and normalized parametersProved

    Sep 2026

  • Canonical decomposition of a 3x3 semi-magic squareProved

    Sep 2026

  • Counting the normalized coefficient vectorsProved

    Sep 2026

  • Stars and bars: the number of compositions of n into k partsProved

    Sep 2026

  • Counting admissible MacMahon parameters for 3x3 squaresProved

    Sep 2026

  • MacMahon parametrization: 3x3 magic squares vs admissible pairsProved

    Sep 2026

  • Every order-three magic square of line sum 3e is the parametrized oneProved

    Sep 2026

  • The three-parameter array is a magic square of line sum 3eProved

    Sep 2026

  • In an order-three magic square, opposite cells sum to twice the centreProved

    Sep 2026

  • Affine substitution preserves the magic propertyProved

    Sep 2026

  • Horizontal flip preserves magicnessProved

    Sep 2026

  • Vertical flip preserves magicnessProved

    Sep 2026

  • Transposing a magic square preserves magicnessProved

    Sep 2026

  • Total sum of a semi-magic square is n times the line sumProved

    Sep 2026

  • MacMahon's count of 3x3 magic squares with line sum a multiple of 3Proved

    Sep 2026

  • Every panmagic square is magicProved

    Sep 2026

  • A normal 3x3 magic square is associative with constant 10Proved

    Sep 2026

  • The centre of a normal 3x3 magic square is 5Proved

    Sep 2026

  • The magic constant of a normal 3x3 magic square is 15Proved

    Sep 2026

  • No 3x3 magic square has a line sum coprime to 3Proved

    Sep 2026

  • Magic constant of a normal magic squareProved

    Sep 2026

  • There is no normal magic square of order 2Proved

    Sep 2026

  • The centre of a 3x3 magic square is one third of the line sumProved

    Sep 2026

  • Tao Corollary 3.5 at the sharp block count: the single-block odd estimateProved

    Sep 2026

  • Odd-restricted Vinogradov estimate at the sharp block count (source Corollary 3.5)Proved

    Sep 2026

  • Vinogradov-type lemma with coprimality (source Lemma 3.4, interval form)Proved

    Sep 2026

Posted 50

  • Faces of the real semi-magic cone correspond to matching-covered supportsProved

    Sep 2026

  • Real semi-magic coneDefinition

    Sep 2026

  • Finite-set interval inclusion-exclusionProved

    Sep 2026

  • Faces of nonnegative subspace sections are coordinate facesProved

    Sep 2026

  • Weighted Weisner cancellation in a finite latticeProved

    Sep 2026

  • Matching-covered board boundary cancellationOpen

    Sep 2026

  • Finite matching-board boundary coefficientsDefinition

    Sep 2026

  • Theorem 1 (i) with the exact degree, for positive line sums (Spencer's elementary route, formalised)Proved

    Sep 2026

  • BCCG Theorem 1: the counting polynomial of semi-magic squaresOpen

    Sep 2026

  • The vanishing list of the semi-magic counting polynomialProved

    Sep 2026

  • Ehrhart-Macdonald reciprocity for the semi-magic counting functionOpen

    Sep 2026

  • The counting function of semi-magic squares is a polynomialProved

    Sep 2026

  • Order four: the Ehrhart polynomial of the Birkhoff polytope B_4Proved

    Sep 2026

  • The semi-magic squares of order oneProved

    Sep 2026

  • The two-direction panmagic squares of order threeProved

    Sep 2026

  • The magic squares of order twoProved

    Sep 2026

  • The pandiagonal squares of order three: BCCG's P_3Proved

    Sep 2026

  • The pandiagonal squares of order twoProved

    Sep 2026

  • The symmetric magic squares of order twoProved

    Sep 2026

  • The semi-magic squares of order twoProved

    Sep 2026

  • Most-perfect squaresDefinition

    Sep 2026

  • Pandiagonal squares: the counting-theory readingDefinition

    Sep 2026

  • The complete count of the special order-three magic squaresProved

    Sep 2026

  • No symmetric magic squares of order three when the line sum is not divisible by threeProved

    Sep 2026

  • No panmagic squares of order three when the line sum is not divisible by threeProved

    Sep 2026

  • Classification of symmetric order-three magic squaresProved

    Sep 2026

  • The corner parameter enumerates the symmetric order-three magic squaresProved

    Sep 2026

  • There is exactly one panmagic square of order threeProved

    Sep 2026

  • Special classes of order-three magic squares: panmagic and symmetricDefinition

    Sep 2026

  • Rosser--Schoenfeld (1962), Theorem 4, eq. (3.14): the middle range 1420≤t≤10101420 \le t \le 10^{10}1420≤t≤1010Open

    Sep 2026

  • There are exactly eight normal magic squares of order threeProved

    Sep 2026

  • Normal order-three magic squares: the surviving parameter pairsDefinition

    Sep 2026

  • The normal members of MacMahon's order-three familyProved

    Sep 2026

  • Counting the normalized coefficient vectorsProved

    Sep 2026

  • Canonical decomposition of a 3x3 semi-magic squareProved

    Sep 2026

  • Bijection between semi-magic squares and normalized parametersProved

    Sep 2026

  • Stars and bars: the number of compositions of n into k partsProved

    Sep 2026

  • Compositions of an integer into a fixed number of partsDefinition

    Sep 2026

  • Permutation-matrix parametrization of 3x3 semi-magic squaresDefinition

    Sep 2026

  • The three-parameter array is a magic square of line sum 3eProved

    Sep 2026

  • Every order-three magic square of line sum 3e is the parametrized oneProved

    Sep 2026

  • Horizontal flip preserves magicnessProved

    Sep 2026

  • Vertical flip preserves magicnessProved

    Sep 2026

  • Affine substitution preserves the magic propertyProved

    Sep 2026

  • Transposing a magic square preserves magicnessProved

    Sep 2026

  • In an order-three magic square, opposite cells sum to twice the centreProved

    Sep 2026

  • Total sum of a semi-magic square is n times the line sumProved

    Sep 2026

  • Magic squares: symmetries and affine transformationsDefinition

    Sep 2026

  • Counting admissible MacMahon parameters for 3x3 squaresProved

    Sep 2026

  • MacMahon parametrization: 3x3 magic squares vs admissible pairsProved

    Sep 2026

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