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math.NT2019★ 1 cited
On a Hilbert Space Reformulation of Riemann Hypothesis
Boqing Xue
We explore Hilbert space reformulations of Riemann Hypothesis developed by Nyman, Beurling, Báez-Duarte, et. al. with a weighted Bergman space , i.e.…
math.NT2019★ 1 cited
Natural Monoids and Non-commutative Arithmetics
Boqing Xue
We introduce several classes of monoids satisfying up to five axioms and establish basic theories on their arithmetics. The one satisfying all the axioms is named natural monoid. T…