1.0Microsoft Researchhttps://www.microsoft.com/en-us/researchJeff Runninghttps://www.microsoft.com/en-us/research/people/jeffrunn/Singular Moduli - Microsoft Researchrich600338<blockquote class="wp-embedded-content" data-secret="rVbsbfKbUC"><a href="https://www.microsoft.com/en-us/research/video/singular-moduli/">Singular Moduli</a></blockquote><iframe sandbox="allow-scripts" security="restricted" src="https://www.microsoft.com/en-us/research/video/singular-moduli/embed/#?secret=rVbsbfKbUC" width="600" height="338" title="“Singular Moduli” — Microsoft Research" data-secret="rVbsbfKbUC" frameborder="0" marginwidth="0" marginheight="0" scrolling="no" class="wp-embedded-content"></iframe><script type="text/javascript">
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https://www.microsoft.com/en-us/research/wp-content/uploads/2016/09/JsIOUIQGehw.jpg480360The values of the elliptic modular function j at imaginary quadratic numbers τ are called singular moduli. They are of fundamental importance in the study of elliptic curves and in algebraic number theory, including the study of elliptic curves over finite fields. The theorem of Gross and Zagier has provided striking congruences satisfied by these […]