On finiteness conjectures for modular quaternion algebras by Bruin, N, Flynn, E, González, J, Rotger, V

“…It is conjectured that there exist only finitely many isomorphism classes of endomorphism algebras of abelian varieties of bounded dimension over a number field of bounded degree. …”

Computer-Assisted Proving of Combinatorial Conjectures Over Finite Domains: A Case Study of a Chess Conjecture by Predrag Janičić, Filip Marić, Marko Maliković

“…For their illustration, we provide an in-depth study of using computer support for proving one complex combinatorial conjecture -- correctness of a strategy for the chess KRK endgame. …”
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Educational leadership at 2050 : conjectures, challenges, and promises / by English, Fenwick W.

On the Erdős-Gyárfás Conjecture in Claw-Free Graphs by Nowbandegani Pouria Salehi, Esfandiari Hossein, Haghighi Mohammad Hassan Shirdareh, Bibak Khodakhast

Subjects: “…erdős-gyárfás conjecture…”
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Entropy bounds and the species scale distance conjecture by J. Calderón-Infante, A. Castellano, A. Herráez, L. E. Ibáñez

“…Abstract The Swampland Distance Conjecture (SDC) states that, as we move towards an infinite distance point in moduli space, a tower of states becomes exponentially light with the geodesic distance in any consistent theory of Quantum Gravity. …”
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A counter example on a Borsuk conjecture by Alejandro Cholaquidis

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The Rules that Indicate Consideration in Conjecture: An Applied Study by Ibrahem Ali Altamimi, Abd Almjed Alsalahen

Subjects: “…Rules of jurisprudence, consideration, conjecture.…”
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Counterexamples to the total vertex irregularity strength’s conjectures by Faisal Susanto, Rinovia Simanjuntak, Edy Tri Baskoro

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Fractional Aspects of the Erdős-Faber-Lovász Conjecture by Bosica John, Tardif Claude

Subjects: “…erdős-faber-lovász conjecture…”
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Procesi’s Conjecture on the Formanek-Weingarten Function is False by Dołȩga, Maciej, Novak, Jonathan

“…In this paper, we disprove a recent monotonicity conjecture of C. Procesi on the generating function for monotone walks on the symmetric group, an object which is equivalent to the Weingarten function of the unitary group.…”
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Distance conjecture and de-Sitter quantum gravity by Hao Geng

“…Among the proposed swampland criteria the distance conjecture is the most well-motivated one from the universal behavior of string theory compactifications. …”
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On a Conjecture about the Sombor Index of Graphs by Kinkar Chandra Das, Ali Ghalavand, Ali Reza Ashrafi

“…In this paper, we confirm that this conjecture is true, when <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>ν</mi><mo>=</mo><mn>6</mn></mrow></semantics></math></inline-formula>. …”
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THE LIPMAN–ZARISKI CONJECTURE IN GENUS ONE HIGHER by HANNAH BERGNER, PATRICK GRAF

“…We prove the Lipman–Zariski conjecture for complex surface singularities with $p_{g}-g-b\leqslant 2$. …”
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A counterexample of two Romanov type conjectures by Ding, Yuchen

“…In this note, we disprove two Romanov type conjectures posed by Chen.…”
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THE IWASAWA MAIN CONJECTURE FOR HILBERT MODULAR FORMS by XIN WAN

“…Following the ideas and methods of a recent work of Skinner and Urban, we prove the one divisibility of the Iwasawa main conjecture for nearly ordinary Hilbert modular forms under certain local hypotheses. …”
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On the status of the hoop conjecture in charged curved spacetimes by Shahar Hod

“…Abstract The status and regime of validity of the famous Thorne hoop conjecture in spatially regular charged curved spacetimes are clarified.…”
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Two special cases of the Rational Shuffle Conjecture by Emily Leven

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Encrypted audio dataset based on the Collatz conjecture by Diego Renza, Sebastian Mendoza, Dora M. Ballesteros L

“…Keywords: Audio, Encryption, Security, Cryptanalysis, Privacy, Collatz conjecture, Dataset…”
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Running decompactification, sliding towers, and the distance conjecture by Muldrow Etheredge, Ben Heidenreich, Jacob McNamara, Tom Rudelius, Ignacio Ruiz, Irene Valenzuela

“…We work out the moduli-dependence by explicit computation, finding that despite the running decompactification the Distance Conjecture remains satisfied with an exponential decay rate α ≥ 1 / d − 2 $$ \alpha \ge 1/\sqrt{d-2} $$ in accordance with the sharpened Distance Conjecture. …”
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The asymptotic Weak Gravity Conjecture for open strings by Cesar Fierro Cota, Alessandro Mininno, Timo Weigand, Max Wiesner

“…Abstract We investigate the asymptotic Tower Weak Gravity Conjecture in weak coupling limits of open string theories with minimal supersymmetry in four dimensions, focusing for definiteness on gauge theories realized on 7-branes in F-theory. …”
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