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11 papers · 1 filter
Pólya-Vinogradov and the least quadratic nonresidue
Jonathan Bober, Leo Goldmakher
It is well-known that cancellation in short character sums (e.g. Burgess' estimates) yields bounds on the least quadratic nonresidue. Scant progress has been made on short characte…
The Bell states in noncommutative algebraic geometry
Charlie Beil
We introduce new mathematical aspects of the Bell states using matrix factorizations, nonnoetherian singularities, and noncommutative blowups. A matrix factorization of a polynomia…
Sequential Change Detection in the Presence of Unknown Parameters
Gordon J Ross
It is commonly required to detect change points in sequences of random variables. In the most difficult setting of this problem, change detection must be performed sequentially wit…
Genuinely multi-point temporal quantum correlations and universal measurement-based quantum computing
Marcin Markiewicz, Anna Przysiezna, Stephen Brierley +1
We introduce a constructive procedure that maps all spatial correlations of a broad class of states into temporal correlations between general quantum measurements. This allows us…
l-modular representations of unramified p-adic U(2,1)
Robert Kurinczuk
We construct all cuspidal l-modular representations of a unitary group in three variables attached to an unramified extension of local fields of odd residual characteristic p with…
Automorphicity and Mean-Periodicity
Thomas Oliver
If C is a smooth projective curve over a number field k, then, under fair hypotheses, its L-function admits meromorphic continuation and satisfies the anticipated functional equati…