Modular forms provide a powerful mathematical framework for understanding symmetry in two-dimensional quantum field theories. In conformal field theory (CFT), these holomorphic functions obey ...
Tsukuba Journal of Mathematics, Vol. 37, No. 1 (July 2013), pp. 1-11 (11 pages) In Theorem 2.5 in previous paper [4], we determined the Fourier coefficients of the image of Shimura correspondence of ...
Recently, Bruinier, Kohnen and Ono obtained an explicit description of the action of the theta-operator on meromorphic modular forms f on SL₂(Z) in terms of the values of modular functions at points ...
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In 1994, an earthquake of a proof shook up the mathematical world. The mathematician Andrew Wiles had finally settled Fermat’s Last Theorem, a central problem in number theory that had remained open ...