\contentsline {section}{\tocsection {}{}{Introduction}}{1}
\contentsline {section}{\tocsection {}{1}{The conjecture}}{2}
\contentsline {section}{\tocsection {}{2}{Group-theoretic preliminaries}}{6}
\contentsline {section}{\tocsection {}{3}{Circular units and Eisenstein series of weight one}}{10}
\contentsline {section}{\tocsection {}{4}{Elliptic units and theta series of imaginary quadratic fields}}{16}
\contentsline {subsection}{\tocsubsection {}{4.1}{Theoretical evidence}}{16}
\contentsline {section}{\tocsection {}{5}{Gross-Stark units and theta series of real quadratic fields}}{20}
\contentsline {section}{\tocsection {}{6}{Exotic forms}}{23}
\contentsline {section}{\tocsection {}{}{References}}{26}