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The article presents the proof of Casas-Alvero conjecture.

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We settle in the affirmative the Graham-Sloane conjecture.

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We prove Union-Closed sets conjecture.

Combinatorics · Mathematics 2024-09-13 Vladimir Blinovsky , Llohann D Speranca

A proof of Sendov's conjecture is given.

Complex Variables · Mathematics 2007-05-23 Gerald Schmieder

We provide a proof of the Borwein Conjecture using analytic methods.

Combinatorics · Mathematics 2021-10-01 Chen Wang

In this paper we prove the WALA conjecture.

Metric Geometry · Mathematics 2026-05-29 Andrea Merlo

In this paper the circulant Hadamard conjecture is proved.

Combinatorics · Mathematics 2019-09-06 Ronald Orozco López

We prove Burkholder inequality using Bregman divergence.

Probability · Mathematics 2022-04-15 Krzysztof Bogdan , Mateusz Więcek

In this paper, we prove a conjecture of Schnell in the surface case.

Algebraic Geometry · Mathematics 2024-02-27 Jun Lu , Wan-Yuan Xu

We show that it is consistent that the Borel Conjecture and the dual Borel Conjecture hold simultaneously.

Logic · Mathematics 2015-09-07 Martin Goldstern , Jakob Kellner , Saharon Shelah , Wolfgang Wohofsky

Error in proof of theorem 10.

Combinatorics · Mathematics 2007-05-23 Lorenz Friess

We provide a proof of a variant of the Landau-Siegel Zeros conjecture.

Number Theory · Mathematics 2007-05-31 Yitang Zhang

We provide a proof and a counterexample to two conjectures made by N. Kuznetsov.

Analysis of PDEs · Mathematics 2023-11-21 Florian Oschmann

We prove the Invariant Subspace Conjecture for separable Hilbert spaces.

Functional Analysis · Mathematics 2023-07-24 Charles W. Neville

We prove that the Dimension Conjecture implies the Jacobi Bound Conjecture.

Algebraic Geometry · Mathematics 2026-03-19 Taylor Dupuy , David Zureick-Brown

We prove Simon's conjecture for 3-manifolds.

Group Theory · Mathematics 2018-11-08 Rita Gitik

In this paper we give a complete proof of the Brumer-Stark conjecture over $\mathbf{Z}$.

Number Theory · Mathematics 2023-10-26 Samit Dasgupta , Mahesh Kakde , Jesse Silliman , Jiuya Wang

We provide new sufficient conditions under which Ryser's conjecture holds.

Number Theory · Mathematics 2025-09-03 Antun Domic , Luis H. Gallardo

We prove several extensions of the Erdos-Fuchs theorem.

Number Theory · Mathematics 2016-08-31 Li-Xia Dai , Hao Pan

We give a remarkably elementary proof of the Brouwer fixed point theorem. The proof is verifiable for most of the mathematicians.

History and Overview · Mathematics 2011-09-22 Yukio Takeuchi , Tomonari Suzuki
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