JACOBIAN CONJECTURE, TWO-DIMENSIONAL CASE by V. V. Starkov

Subjects: “…Jacobian conjecture…”
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On the primitive roots and the generalized Golomb’s conjecture by Jiafan Zhang, Xingxing Lv

Subjects: “…the generalized golomb’s conjecture…”
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Architectural conjectural mapping: two examples by Boca Silvia, Korolija Aleksa

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Quantum focusing conjecture and the Page curve by Yoshinori Matsuo

“…The quantum focusing conjecture is proposed so that it is satisfied even if the null energy condition is violated. …”
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Cobordism, singularities and the Ricci flow conjecture by David Martín Velázquez, Davide De Biasio, Dieter Lüst

“…Abstract In the following work, an attempt to conciliate the Ricci flow conjecture and the Cobordism conjecture, stated as refinements of the Swampland distance conjecture and of the No global symmetries conjecture respectively, is presented. …”
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Notes on the Hodge conjecture for Fermat varieties by Genival da Silva, Adrian Clingher

“…We review a combinatoric approach to the Hodge conjecture for Fermat varieties and announce new cases where the conjecture is true. …”
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Instanton resummation and the Weak Gravity Conjecture by Ben Heidenreich, Cody Long, Liam McAllister, Tom Rudelius, John Stout

“…Using these tools, we investigate the consequences of the Weak Gravity Conjecture for large-field axion inflation. We find that the Sublattice Weak Gravity Conjecture implies a constraint on the volume of the axion fundamental domain. …”
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On two consequences of Berge–Fulkerson conjecture by Vahan V. Mkrtchyan, Gagik N. Vardanyan

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A counterexample to the CFT convexity conjecture by Adar Sharon, Masataka Watanabe

“…Abstract Motivated by the weak gravity conjecture, [Phys. Rev. D 104 (2021) 126005] conjectured that in any CFT, the minimal operator dimension at fixed charge is a convex function of the charge. …”
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Progress on the traceability conjecture for oriented graphs by Marietjie Frick, Peter Katrenič

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Revisiting the scalar weak gravity conjecture by Karim Benakli, Carlo Branchina, Gaëtan Lafforgue-Marmet

“…Abstract We revisit the scalar weak gravity conjecture and investigate the possibility to impose that scalar interactions dominate over gravitational ones. …”
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AdS swampland conjectures and light fermions by Eduardo Gonzalo, Luis E. Ibáñez, Irene Valenzuela

“…In particular we consider the non-SUSY AdS instability conjecture and the AdS distance conjecture. For MD and dSD vacua the results may be summarized by a light fermion conjecture which states that in theories with ΛD≥0 and a positive first non-vanishing supertrace (−1)k+1StrM2k>0, a surplus of light fermions with mass mf≲ΛD1/D must be present. …”
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Cores, Joins and the Fano-Flow Conjectures by Jin Ligang, Steffen Eckhard, Mazzuoccolo Giuseppe

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Unpublished Conjectures at Leiden on the Greek Dramatists by p. J. Finglass

“…<span style="font-family: Times; font-size: medium;">Textual conjectures discovered in manuscripts and printed volumes illustrate the originality and importance of Greek studies in Holland in the 17th century.…”
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Empowering Polynomial Theory Conjectures with Spreadsheets by Chris Petersdinh, Jonah Beaumont

“…These activities were designed to use a constructivist approach involving student experimentation and conjectures.…”
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Rank-2 attractors and Deligne’s conjecture by Wenzhe Yang

“…We will look at the interesting connections between rank-2 attractors in string theory and Deligne’s conjecture on the special values of L-functions. We will also formulate several open questions concerning the potential connections between attractors in string theory and number theory.…”
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Three open problems and a conjecture by Qin Huizeng, Furdui Ovidiu

“…In this paper we solve three open problems and a conjecture related to the calculations of some classes of multiple series posed by Furdui in [1].…”
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Infinite log-concavity: developments and conjectures by Peter R. W. McNamara, Bruce E. Sagan

“…In addition, we offer several conjectures.…”
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Bounding violations of the weak gravity conjecture by J. Henriksson, B. McPeak, F. Russo, A. Vichi

“…Abstract The black hole weak gravity conjecture (WGC) is a set of linear inequalities on the four-derivative corrections to Einstein-Maxwell theory. …”
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The "hot spots" conjecture on the Vicsek set by Ionescu Marius, Savage Thomas L.

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