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Romik's conjecture for the Jacobi theta function

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Published in 2020 at "Journal of Number Theory"

DOI: 10.1016/j.jnt.2020.01.009

Abstract: Dan Romik recently considered the Taylor coefficients of the Jacobi theta function around the complex multiplication point $i$. He then conjectured that the Taylor coefficients $d(n)$ either vanish or are periodic modulo any prime ${p}$;… read more here.

Keywords: jacobi theta; theta function; romik conjecture; conjecture jacobi ... See more keywords