Displaying similar documents to “Cutting diagram method for systems of plane curves with base points”

An update on a few permanent conjectures

Fuzhen Zhang (2016)

Special Matrices

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We review and update on a few conjectures concerning matrix permanent that are easily stated, understood, and accessible to general math audience. They are: Soules permanent-on-top conjecture†, Lieb permanent dominance conjecture, Bapat and Sunder conjecture† on Hadamard product and diagonal entries, Chollet conjecture on Hadamard product, Marcus conjecture on permanent of permanents, and several other conjectures. Some of these conjectures are recently settled; some are still open.We...

On the Collatz conjecture

Sebastian Hebda (2013)

Colloquium Mathematicae

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We propose two conjectures which imply the Collatz conjecture. We give a numerical evidence for the second conjecture.

Differential analogues of the Brück conjecture

Xiao-Guang Qi, Lian-Zhong Yang (2011)

Annales Polonici Mathematici

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We give some growth properties for solutions of linear complex differential equations which are closely related to the Brück Conjecture. We also prove that the Brück Conjecture holds when certain proximity functions are relatively small.

Lang-Trotter and Sato-Tate distributions in single and double parametric families of elliptic curves

Min Sha, Igor E. Shparlinski (2015)

Acta Arithmetica

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We obtain new results concerning the Lang-Trotter conjectures on Frobenius traces and Frobenius fields over single and double parametric families of elliptic curves. We also obtain similar results with respect to the Sato-Tate conjecture. In particular, we improve a result of A. C. Cojocaru and the second author (2008) towards the Lang-Trotter conjecture on average for polynomially parameterised families of elliptic curves when the parameter runs through a set of rational numbers of...