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1209 papers in math.NT · page 7
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Stiefel-Whitney classes vanish for almost all large GL_n orthogonal reps
Asymptotic Vanishing of Stiefel--Whitney Classes for $\mathrm{GL}_n(\mathbb{F}_q)$
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Lubin-Tate log yields explicit basis for π-regular extensions
An $O_K$-basis for the image of a Lubin-Tate logarithm on $\pi$-regular extensions of $K$
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Power semigroups of numerical semigroups have trivial automorphism groups
On the automorphisms of the power semigroups of a numerical semigroup
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New class of polynomials includes LG models for Fano fourfolds
On Arithmetic Mirror Symmetry for smooth Fano fourfolds
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Tempered polynomials produce two arithmetic mirror pairs for Fano fourfolds
On Arithmetic Mirror Symmetry for smooth Fano fourfolds
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Asymptotic for two primes plus floor(n^c) with nearly proportional parts
Generalized Estermann problem for non-integer powers with almost proportional summands
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Liouville function uniform in Fourier sense down to exp((log X)^{2/5})
Improved bounds for the Fourier uniformity conjecture
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Degeneracy results for families of unit equations
Families of Unit Equations and Exponential Diophantine Problems via Integral Points
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No prime p>5 has all distinct factorial residues mod p
Solution to the Erdos problem on distinct residues of factorials
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No prime p>5 has distinct factorial residues mod p
Solution to the Erdos problem on distinct residues of factorials
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Pentagon equation on paths equals double shuffle relations
Multiplicative convolution and double shuffle relations
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Pentagon equation equivalent to double shuffle relations
Multiplicative convolution and double shuffle relations
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Couple density sets minimum q-adic valuation of exponential sums
The $p$-powers dividing certain exponential sums
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Monsky matrix forces 2-Selmer rank zero for non-congruent families
Monsky Matrix and 2-Selmer rank
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n + 120 million elements force five pairwise sums inside the set
The cardinality of a set containing the pairwise sums of a fixed number of integers
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Integer sets with doubling 4+δ have controlled structure
A structure theorem for sets with doubling $4+\delta$
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Ordered monoids test mildness of pro-p groups
Mild Pro-$p$ Groups and Ordered Monoids
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Legendre identity yields closed forms for combinatorial sums
Combinatorial sums derived from properties of Legendre polynomials
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Geometric procedure computes Apéry sets for four-generator semigroups
On numerical semigroups with embedding dimension four
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Under RH, zeta exceeds (log T)^k on measure at most (log T)^{-k^2}
Conditional Upper Bounds for Large Deviations and Moments of the Riemann Zeta Function
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Naive transcendence holds for strengthened results in ring A
Some results on naive transcendence in the ring of integers modulo infinitely large primes
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Cyclotomic numbers capped at ceil(k/2) except for q=2
Cyclotomic Numbers of Order $q-1$ over $\mathbb{F}_{q^r}$
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MZVs stay independent up to weight 2q in positive characteristic
The threshold for linear independence of multiple zeta values in positive characteristic
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Divisor subtraction orbit reaches length x/log x absent ladders
The Divisor Function along a Deterministic Orbit and the Emergence of Ladders
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Carlitz rank and additive index detect different weaknesses
Additive index and Carlitz rank
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Divisor sum over k squared is 0 mod 4 in five arithmetic forms
Congruences via Partitions with Exactly Two Part Sizes
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Bounds control singular product tails for multivariate primes
Estimating the tail of the singular product in the multivariate Bateman-Horn conjecture
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Maslov phase defects prove Hilbert reciprocity
Reciprocity and the Maslov Phase
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Scheme splitting matches section-ring purity
A local-global correspondence for perfectoid purity
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Splitting of projective schemes matches purity in section rings
A local-global correspondence for perfectoid purity
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Langlands correspondence built for disconnected groups via rigid forms
The local Langlands correspondence of essentially unipotent supercuspidal representations for disconnected reductive groups
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Local Langlands correspondence defined for unipotent supercuspidals on disconnected groups
The local Langlands correspondence of essentially unipotent supercuspidal representations for disconnected reductive groups
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Wider N and Q ranges for convolution deviation bounds
Trilinear Kloosterman fractions I: partially fixed moduli and unbalanced convolutions
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Rational Lambert series force finite support in recurrent sequences
Linear recurrences and rational Lambert series
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Polynomial taxicab problem links to abc-conjecture
Ramanujan, the taxicab problem for polynomials, and the abc-conjecture
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Fundamental groups classify elementary anabelian varieties
Elementary anabelian varieties are anabelian
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Missing-digit zeta moments oscillate periodically in log base b
The asymptotic oscillations of moments related to Dirichlet series with missing digits
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Framework yields effective joint Sato-Tate laws for Hecke eigenvalues
Joint Sato-Tate Laws for Transformations of Hecke Eigenvalues: The Vertical Case
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Doubling method yields multiplicative gamma factors for depth zero reps
On classical doubling method gamma factors for certain depth zero representations
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No k-th power Diophantine triples exist of form {a^k
On $k$-th power Diophantine triples of the form $\{a^k, b, c\}$
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Effective Tauberian theorem produces explicit prime number theorem bounds
Newman's Tauberian theorem, the Riemann-Lebesgue Lemma, and abstract analytic number theory
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Weak pair correlation limits obey linear bounds under differentiability
Linear Bounds for Differentiable Limits of Weak Pair Correlation Functions
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1960s uniqueness condition for Euclidean division still holds
A Necessary and Sufficient Condition for Uniqueness of Euclidean Division
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Extension functor yields finite-length D-cap-modules on rigid spaces
On D-cap-Modules of Finite Length on Rigid Analytic Spaces
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Motivic Galois dimension of 1-motive equals defining-point rank
Dimension of the motivic Galois group of a 1-motive
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Motivic Galois group dimension for 1-motive equals points' group rank
Dimension of the motivic Galois group of a 1-motive
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Asymptotic formula for circle sum over smooth numbers
On the Gauss circle problem over smooth numbers
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Lonely runner conjecture holds for ten to twelve runners
Eleven, twelve, and thirteen lonely runners
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Infinitely many cubic twists keep GL_n L-functions non-zero
Non-Vanishing of Cubic Twists of $GL_n(\mathbb{Q})$ $L$-functions
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Pointwise minimization on Minkowski-Cohn surface for ravine functions
On optimization on ravine functions. Minkowski-Cohn moduli surface in Cohn parameterization