Detchat Samart

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The aim of this paper is to prove a Mahler measure formula of a four-variable Laurent polynomial whose zero locus defines a Calabi-Yau threefold. We show that its Mahler measure is a rational linear combination of a special L-value of the normalized newform in S 4 (Γ 0 (8)) and a Riemann zeta value. This is equivalent to a new formula for a 6 F(More)
We give a brief introduction to Kronecker's Jugendtraum, sometimes called Hilbert's twelfth problem, which concerns ways to describe abelian extensions of arbitrary number field K using special values of transcendental functions. Only partial results have been proved and the general case still remains open until now. Specifically, we will explain how the(More)
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