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math.NT2019
Diophantine Tuples over
Nitya Mani, Simon Rubinstein-Salzedo
For an element of a ring , a Diophantine -tuple is an -tuple of elements of such that for all with , is a p…
math.NT2016
Infinite Product Exponents for Modular Forms
Asra Ali, Nitya Mani
Recently, D. Choi obtained a description of the coefficients of the infinite product expansions of meromorphic modular forms over . Using this result, we provide some bound…
math.NT2015
-Division Points of Hypocycloids
Nitya Mani, Simon Rubinstein-Salzedo
We show that the -division points of all rational hypocycloids are constructible with an unmarked straightedge and compass for all integers , given a pre-drawn hypocycloid. W…