Algorithms for finding good examples for the and Szpiro conjectures.
Nitaj, Abderrahmane (1993)
Experimental Mathematics
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Displaying similar documents to “On the Birch and Swinnerton-Dyer conjecture”
Algorithms for finding good examples for the and Szpiro conjectures.
On the Birch and Swinnerton-Dyer Conjecture.
Ralph Greenberg (1983)
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Elliptic Curves With Complex Multiplication and the Conjecture of Birch and Swinnerton-Dyer.
Karl Rubin (1981)
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On a conjecture concerning minus parts in the style of Gross
C. Greither, Radan Kučera (2008)
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Yokoi's conjecture
András Biró (2003)
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On the Geometrisation Conjecture
G. Besson (2009)
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The Bloch-Kato conjecture on special values of -functions. A survey of known results
Guido Kings (2003)
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This paper contains an overview of the known cases of the Bloch-Kato conjecture. It does not attempt to overview the known cases of the Beilinson conjecture and also excludes the Birch and Swinnerton-Dyer point. The paper starts with a brief review of the formulation of the general conjecture. The final part gives a brief sketch of the proofs in the known cases.
On a conjecture of Morgan Ward, II
K. Kubota (1977)
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A note on Format's conjecture
K. Inkeri (1976)
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A proof of a conjecture of Knuth.
Paule, Peter (1996)
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On a conjecture of Narkiewicz about functions with non-decreasing normal order
P. D. T. A. Elliott (1976)
Colloquium Mathematicae
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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...
Chowla's conjecture
András Biró (2003)
Acta Arithmetica
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On a conjecture of Erdös
W. Narkiewicz (1977)
Colloquium Mathematicae
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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...