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1209 papers in math.NT · page 12
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Resonance-correlation method yields μ < 0.50895 for zeta zero gaps
Small gaps between consecutive zeros of the Riemann zeta-function
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Explicit formula lifts Hida families to base change
On the computation of base-change lifts and lifts of Hida families
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Moment bounds for twisted random sums match chaos predictions
Partial sums of random multiplicative functions with supercritical divisor twists
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Squares contain at least N to the 1/8 power many 3D Hilbert cubes
There are infinitely many Hilbert cubes of dimension 3 in the set of squares
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Infinite families of congruences proved for restricted partitions
Proof of a conjecture of Banerjee,Bringmann and Bachraoui on infinite families of congruences
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Reid class classification extends to non-Archimedean Banach spaces
Structural Hierarchy of Reid Class of non-Archimedean Banach Spaces
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Matchable numbers have positive asymptotic density
Matchable numbers
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Divisor-sum ratio S_s(n)/n has continuous distribution
A statistical investigation of a divisor-sum function
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Most elliptic sequences are scaled standard EDSs
On Elliptic Sequences over Commutative Rings
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Random reversals leave divisor graphs with giant SCC of size ~N
On the largest strongly connected component of randomly oriented divisor graphs
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Generalized Fermat curves get point formulas or bounds when nonclassical to conics
Frobenius nonclassicality of generalized Fermat curves with respect to conics
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CM Drinfeld modules asymptote across reduction components
Asymptotic distribution of CM points on the reduction of the Drinfeld modular curve
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CM points on Drinfeld curve reduction distribute via tree analysis
Asymptotic distribution of CM points on the reduction of the Drinfeld modular curve
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Infinite preperiodics only when heights match in skew product families
Unlikely intersections in families of polynomial skew products
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Bounded ranks force bounded AP lengths on elliptic curve points
A note on Bremner's conjecture and uniformity
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Bounded ranks force bounded arithmetic progressions on elliptic curves
A note on Bremner's conjecture and uniformity
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Legendre PRF over extension fields broken in linear time
Cryptanalysis of the Legendre Pseudorandom Function over Extension Fields
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Legendre PRF over F_{p^r} broken by fracture bucketing and geometric collisions
Cryptanalysis of the Legendre Pseudorandom Function over Extension Fields
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A^h is contained in the intersection of A_q^h for all h in semigroups
Problems and results on intersections of product sets and sumsets in semigroups
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Locally recoverable codes reach length q to the fourth in even characteristic
LRC codes over characteristic $2$
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Formulas for Koshliakov zeta recover Euler-Ramanujan zeta results
On special values of Koshliakov zeta functions
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Quadratic PCF maps with periodic orbits yield densely settled Galois groups
Settled Elements in Arboreal Galois Groups of Quadratic PCF Polynomials
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Dirichlet L-functions and derivatives reach joint extremes
Joint extreme values of Dirichlet (L)-functions and their logarithmic derivatives
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Difference quotients in coset unions force linearized functions
Extensions of the Carlitz-McConnel and Blokhuis-Sziklai theorems for unions of cyclotomic classes
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Rank-r Weil pairing equals Moore determinant coefficient
Relation between Anderson Generating Functions and Weil Pairing
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SU₃(F[t]) first cohomology isomorphic to PGL₂(F)
Cohomology of special unitary groups and congruence subgroups
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Parity perturbation defines Hofstadter sequence for all n
On a perturbed Hofstadter $Q$-recursion
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Dual group yields uniform eigenweight formulas for shtuka volumes
Arithmetic volume of Shtukas and Langlands duality
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Non-dense integrals force sparse multiplicative ties in orbits
On higher dimensional integrality and multiplicative dependence in semigroup algebraic dynamics
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K3 pencils yield infinitely many rank jumps in genus-2 Jacobians
Rank jumps for Jacobians of Hyperelliptic curves on K3 surfaces
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Relative p-adic monodromy theorem holds on dense open sets
p-adic Hodge theory of de Rham local systems, I: Newton polygon and monodromy
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Balanced precisions give dimension bounds on signal codebook size
High-Dimensional Signal Compression: Lattice Point Bounds and Metric Entropy
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Motivic Poisson formula holds for adelic points of split tori
A motivic Poisson formula for split algebraic tori with an application to motivic height zeta functions
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Young diagrams extend Bressoud bijection to all natural d
A generalization of Bressoud's beautiful bijection
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Adapted Adams conjecture realizes theta functoriality
Functoriality and the theta correspondence
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The authors construct a proper smooth fourfold over a perfect field of positive…
On de Rham--Witt Cohomology of Classifying Stacks
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The paper derives asymptotic expressions for higher-order moments of derivatives of…
Higher order derivative moments of CUE characteristic polynomials and the Riemann zeta function
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Wolstenholme theorem proved via contour integral
A proof of Wolstenholme's theorem and congruence properties via an Egorychev-type integral
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Low-degree point classification extends to function fields
Points of low degree on curves over function fields
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Thin character subgroups produce large L-values in critical strip
Large values of $L(\sigma,\chi)$ for subgroups of characters
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New bound on multiple Gauss sums yields prime solutions for forms
Multiple Gauss sums
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New Gauss-sum bound gives prime solutions for form systems
Multiple Gauss sums
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Sum-free sets in F_5^n above size 28*5^{n-3} take only two forms
Large sum-free sets in finite vector spaces II
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Functional equation equivalent to Voronoi summation for L-function coefficients
Equivalence between the Functional Equation and Vorono\"{\i}-type summation identities for a class of $L$-Functions
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Eta quotients link Hecke forms to finite field periods
Explicit hypergeometric modularity of certain weight two and four Hecke eigenforms
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Absolute perfectoidization algebraizes for projective formal schemes
Algebraization of absolute perfectoidization via section rings
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Mixed character sums bounded by 3^{4/3} p to fractional power
Mixed character sums modulo prime powers
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Sun's 1/π series proved by Cauchy product
Series for $1/\pi$ arising from Cauchy product
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Mundici conjecture on Farey sums is proved
On a Conjecture about Sums Involving Farey Fractions
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Higher-order Alladi dualities extend to F_q[T]
Higher Order Dualities over Global Function Fields and Weighted M\"{o}bius Sums over $\mathbb{F}_q{[T]}$