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math.NT2026
The twisted convolution identity and ghost -SICs from finite quantum dilogarithms
Marcus Appleby, Steven T. Flammia, Gene S. Kopp
Radchenko and Wheeler (RW) recently proved a finite pentagon relation for real quadratic special values of the modular quantum dilogarithm and used it to establish the rank- twi…
math.NT2025★ 1 cited
A Constructive Approach to Zauner's Conjecture via the Stark Conjectures
Marcus Appleby, Steven T Flammia, Gene S Kopp
We propose a construction of complex equiangular lines in , also known as SICPOVMs, conjectured by Zauner to exist for all d. The construction gives a putativel…
math.NT2016★ 31 cited
Generating Ray Class Fields of Real Quadratic Fields via Complex Equiangular Lines
Marcus Appleby, Steven Flammia, Gary McConnell +1
For certain real quadratic fields with sufficiently small discriminant we produce explicit unit generators for specific ray class fields of using a numerical method that ar…