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math-ph2006★ 8 cited
mKdV Surfaces
Suleyman Tek
In this work, we consider 2-surfaces in arising from the modified Korteweg de Vries (mKdV) equation. We give a method for constructing the position vector of the mK…
math.NT2006
Ramanujan's Identities and Representation of Integers by Certain Binary and Quaternary Quadratic Forms
Alexander Berkovich, Hamza Yesilyurt
We revisit old conjectures of Fermat and Euler regarding representation of integers by binary quadratic form x^2+5y^2. Making use of Ramanujan's_1ψ_1 summation formula we establish…