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math.NT2026
Simultaneous Unimodularity of Positive Integer Matrices and Their Entrywise Cubes
Xinyi Li, Shuochen Wang, Zimeng Ye +1
We solve an open problem posed by Richard Guy in his book Unsolved Problems in Number Theory. We prove that, for every integer , there exist infinitely many in…
math.NT2025
Twisted aughts of alternating involutions
Raghavendra N. Bhat, Cristian Cobeli, Shuta Iwai +2
Let be the subgroup of generated by the particular involutions that are identical to the identity, except for a single line where and …