Diagonal equations of different degrees over p-adic fields
Michael P. Knapp (2007)
Acta Arithmetica
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Displaying similar documents to “Artin's conjecture for septic and unidecic forms”
Diagonal equations of different degrees over p-adic fields
On a conjecture of Morgan Ward, II
K. Kubota (1977)
Acta Arithmetica
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Yokoi's conjecture
András Biró (2003)
Acta Arithmetica
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On the Geometrisation Conjecture
G. Besson (2009)
Bollettino dell'Unione Matematica Italiana
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The Bloch-Kato conjecture on special values of -functions. A survey of known results
Guido Kings (2003)
Journal de théorie des nombres de Bordeaux
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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 concerning minus parts in the style of Gross
C. Greither, Radan Kučera (2008)
Acta Arithmetica
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A proof of a conjecture of Knuth.
Paule, Peter (1996)
Experimental Mathematics
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A note on Format's conjecture
K. Inkeri (1976)
Acta Arithmetica
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On a conjecture of Erdös
W. Narkiewicz (1977)
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...
A counterexample to a Kurepa's conjecture
R. Dacić (1971)
Matematički Vesnik
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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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On the abc conjecture in algebraic number fields
K. Győry (2008)
Acta Arithmetica
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Embedding the conjecture in a context.
Belaga, Edward G., Mignotte, Maurice (1998)
Experimental Mathematics
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-adic Abelian Stark conjectures at
David Solomon (2002)
Annales de l’institut Fourier
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A -adic version of Stark’s Conjecture at is attributed to J.-P. Serre and stated (faultily) in Tate’s book on the Conjecture. Building instead on our previous paper (and work of Rubin) on the complex abelian case, we give a new approach to such a conjecture for real ray-class extensions of totally real number fields. We study the coherence of our -adic conjecture and then formulate some integral refinements, both alone and in combination with its complex analogue. A ‘Weak Combined...