Many complicated advances in research mathematics are spurred by a desire to understand some of the simplest questions about numbers. How are prime numbers distributed in the integers? Are there ...
Soit E une courbe elliptique sur ℚ, soit K un corps quadratique imaginaire, et soit K∞ une ℤp-extension de K. Étant donné un ensemble ∑ de places de K contenant les places audessus de p et les places ...
Mathematicians have opened a new chapter in the theory of moonshine, one which begins to harness the power of the pariahs -- sporadic simple groups that previously had no known application.
Si E₁ et E₂ sont deux courbes elliptiques sur un corps k, nous avons une application naturelle CH¹(E₁)₀ ⊗ CH¹(E₂)₀ → CH²(E₁ × E₂). Quand k est un corps de nombres, une conjecture due à Bloch et ...
As numbers go, 1729, the Hardy-Ramanujan number, is not new to math enthusiasts. But now, this number has triggered a major discovery — on Ramanujan and the theory of what are known as elliptical ...
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