EUDML | Non-congruent numbers, odd graphs and the Birch-Swinnerton-Dyer conjecture

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Displaying similar documents to “Non-congruent numbers, odd graphs and the Birch-Swinnerton-Dyer conjecture”

On the 2-primary part of a conjecture of Birch and Tate

Jerzy Urbanowicz (1983)

Acta Arithmetica

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An extension of some formulae of Lerch

Andrzej Schinzel (2002)

Acta Mathematica et Informatica Universitatis Ostraviensis

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Heights in finite projective space, and a problem on directed graphs.

Nathanson, Melvyn B., Sullivan, Blair D. (2008)

Integers

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An application of a formula of Western to the evaluation of certain Jacobsthal sums

R. Hudson, Kenneth Williams (1982)

Acta Arithmetica

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On Sophie Germain type criteria for Fermat's Last Theorem

Andrew Granville, Barry Powell (1988)

Acta Arithmetica

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$q$ -series, elliptic curves, and odd values of the partition function.

Eriksson, Nicholas (1999)

International Journal of Mathematics and Mathematical Sciences

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Symmetry of iteration graphs

Walter Carlip, Martina Mincheva (2008)

Czechoslovak Mathematical Journal

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We examine iteration graphs of the squaring function on the rings $ℤ / n ℤ$ when $n = 2^{k} p$ , for $p$ a Fermat prime. We describe several invariants associated to these graphs and use them to prove that the graphs are not symmetric when $k = 3$ and when $k \geq 5$ and are symmetric when $k = 4$ .

A type of class group for imaginary quadratic fields

Maurice Craig (1973)

Acta Arithmetica

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