Algebra & number theory
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- Boyd's conductor-11 Mahler measure conjecture: proof of the split-integral identity (C3), with an exact structural analysis of the family S_k
- A Fan Algorithm for Chow-Witt Rings of Smooth Projective Toric Varieties
- An irreducible decomposition of the Weil representation restricted to open compact subgroups
- Infinitely Many Binomial Coefficients of Deficiency One
- Idempotent-free non-solvable evolution algebras over ℂ
- The domain question for the Nielsen-Soelberg group rings: the commutative case, with certified ball checks
- A compactness theorem for twisted-unitary elements of integral group rings, with a certified route to the theta-unitary Case A at window B(4) of the Promislow group
- A Kernel-Certified Verification of the Erdős-Mollin-Walsh Conjecture below 1014
- Cartier crystals and dual-constructible p-torsion complexes
- Canonical resolved-transport decomposition and reconstruction of local-unit-aligned ordered semigroups
- Categorical forms of the rigid direct-system representation for finite local-unit-aligned totally ordered monoids
- Uniform Rost nilpotence and birational motives
- The Serre--Hochschild plane of a finite-dimensional algebra
- A characterization of Sophie Germain primes - II
- Foundations of Stochastic Lexical Calculus: Semantic Descent and Random Dynamics on Probability Simplices
- On a question of Ruzsa about densities of sumsets
- Belyi's theorem: coverings, dessins, and fields of definition
- Finite Fourier Duality, Radial Values, and Arithmetic of a Mod Eight False Theta Quotient
- Ω-results for the logarithmic derivative of ζ(s) on vertical homogeneous progressions
- An Omega result for partial sums of the Riemann zeta function
- Distinct Consecutive Products
- Coprime Actions and Characters Non-vanishing on the Fixed-point Subgroup
- Motion planning and topological complexity for diagrams of spaces
- Vector fields, initial scaffolds and database reduction
- Mean Lindelöf Hypothesis and Prime Geodesic Theorem on Bianchi Manifolds