Algebra & number theory
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- Nuancing the uniqueness of q-rationals
- Möbius function and primes: an identity factory with applications
- Quantum index, Arnold-Rokhlin surfaces, and real enumerative geometry
- Infinite Sidon-type sets for zero-sum linear forms
- On the digits of the sum of proper divisors
- Random p-adic matrices with fixed zero entries and the Cohen–Lenstra distribution
- Uniform bounds on the Dunkl kernel
- Spectral fourth moments of Hecke--Maaß cusp forms
- Measures and generalizations of dual Littlewood identities
- The chain replacement of a poset flow
- The quasisymmetric flag variety: a toric complex on noncrossing partitions
- Minimal resolutions of monomial ideals
- On η-periodic Formal Ternary Laws
- From scalar rigidity to abstract prime set and abstract integer system
- First Results on the Purple Program: The Continuity Dichotomy at the Zero Pole, and the Joint Law of the Two Determinations
- A finite Guinand-Weil dictionary and archimedean tail order for the truncated Weil quadratic form
- On the growth spectrum of hyperbolic groups
- The Reception Geometry: A Signal Architecture on the Number Line Linking Prime Gaps, Residues, and the Zeros of the Riemann Zeta Function
- Generic Newton points and cordial elements
- The Type III realisation conjecture of Kirkland and Šmigoc
- On moments of the Erdős-Hooley Delta-function
- Functional equation associated to ζX,𝒩
- Monogenicity and 2-torsion in the class group of number fields of odd degree
- On the Riemann Hypothesis: A Complete Proof via the Twin Operator Method
- Harmonics and graded Ehrhart theory