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1209 papers in math.NT · page 13
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Truncating Golomb rule to window r yields r-regular sequences
Almost Golomb Sequences
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Digit-sum formulas settle Böttcher coordinate conjectures
Coefficient-Level B\"ottcher Theory for Wild Superattracting Germs of Degree $p^e$
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Inverse Böttcher radius for wild p^e germs is p to the minus theta
Coefficient-Level B\"ottcher Theory for Wild Superattracting Germs of Degree $p^e$
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Algorithm gives closed forms for rational times harmonic sums
General formulas for a class of Euler sums
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Euler constant equals geometrically convergent series
Some geometric series for Euler's constant
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Geometric series represent Euler's constant with fast convergence
Some geometric series for Euler's constant
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Finite model certifies perturbed Hofstadter recursion for all n
Certified Finite-State Induction for a Perturbed Hofstadter Recursion
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Plectic Heegner classes control higher-rank elliptic curves
Plectic Heegner classes
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Asymptotics for bad products of consecutive integers
Products of consecutive integers with unusual anatomy
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Drinfeld product Galois images are commensurable with determinant subgroups
Galois representation of the product of two Drinfeld modules of generic characteristic
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No-3AP sets in [N] at most N exp(-c (log N)^{1/6}/loglog N)
Improved Bounds for 3-Progressions
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New bound limits 3-AP-free sets to exp(-c log^{1/6} N) N
Improved Bounds for 3-Progressions
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Galois cohomology rings arise as colimits of finite Koszul subalgebras
Asymptotic Universal Koszulity in Galois Cohomology
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Filtration on automorphic functions transfers from spectral support
Tempered vs generic automorphic functions and the canonical filtration on automorphic functions
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Every real above 1 equals a unique infinite zeta-star value
Arithmetic sums and products of infinite multiple zeta-star values
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No 459-prime constellations of span 3242 appear before 9.7e73
On nonconvex constellations among primes I
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Gauss sum restriction improves bounds at prime squares
On bilinear sums with modular square roots and applications III
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Special recursive polynomials always generate integer sequences
An integrality phenomenon
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Conjectured density for coprime elliptic curve point counts
On the Density of Coprime Reductions of Elliptic Curves
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Finite morphisms keep abelian points additively rigid
Additive Rigidity for Images of Rational Points on Abelian Varieties I: The Simple Case
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Function field matches cyclotomic L(x²) via subgroup
A Note on Cyclotomic Function Fields with Quadratic Modulus
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Short exponential sums bound ternary correlations of multiplicative functions
Short Exponential Sums and Ternary Correlations of Multiplicative Functions
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Cantor set contains only two reciprocal factorials
On factorial reciprocals in Cantor sets
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Integrals for Apéry series produce new eta identities
Integral Representations for Multiple Ap\'ery-Like Series
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p-Bessel functions gain fractional hierarchy and Poisson extensions
Analytic Study of $p$-Bessel Functions: Fractional Calculus, Integral Representations, and Complex Extensions
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Infinitely many ties appear in function field prime races
Ties in Function Field Prime Races
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Non-torsion points have non-zero p-adic logarithms
A refined non-vanishing of the $p$-adic logarithm of a rational point on an abelian variety
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Almost all n obey ||n|| ≤ C_avg log n + o(log n)
Upper and lower estimates for integer complexity
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Search finds 26 new cases for Chinburg Mahler-L conjectures
Relating Mahler measures and Dirichlet $L$-values: new evidence for Chinburg's conjectures
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Quadratic equations gain partition regularity in imaginary quadratic rings
Partition regularity in imaginary quadratic rings of integers
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Highly composite moduli disprove Fiorilli conjecture on Skewes numbers
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races
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Weierstrass models determine stable reduction for genus-2 curves
Minimal Weierstrass models and regular models of hyperelliptic curves
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581 simplest cubic fields have class number at most 1000
Simplest cubic fields with small class number
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Square root error for trace-norm counts in semisimple algebras
Norm-trace and Kloosterman sums in finite semi-simple algebras
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Wild ramification in Hecke operators reduces to unramified case
Eigenforms and graphs of Hecke operators with wild ramification
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Equity requires study of less popular sumset problems
Diversity, equity, and inclusion for problems in additive number theory
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Mean field solutions exist on the Tate curve
The Mean field equation on the Tate curve
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Sharper bounds on Fourier coefficient variance in arithmetic progressions
Variance of GL(2) Fourier coefficients in arithmetic progressions
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Determinants on Z/NZ break into group products via Fourier
Paratrophic Determinants over $\mathbb{Z}/N\mathbb{Z}$ via Discrete Fourier Transform
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Sieving analogue holds exactly for Dedekind domains
An analogue of Rogers' theorem on sieving in commutative rings
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Jiang conjecture on wavefront sets reduces to GL bi-torsors
On Jiang's wavefront sets conjecture for representations in local Arthur packets
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Arthur packets for metaplectic groups constructed explicitly
Construction of Local Arthur Packets for Metaplectic Groups and the Adams Conjecture
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Primitive-root matrix ratio vanishes like 1/log log p
Primitive-Root Ratio over Prime Fields: A Shifted-Prime Distribution of Hausdorff Dimension Zero and Implications for PRIM-LWE
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Every square gap contains a number with at most 3 prime factors
On the Existence of Integers with at Most 3 Prime Factors Between Every Pair of Consecutive Squares
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Noncommutative operators yield Wilczyński currents as m-differentials
Noncommutative Wilczynski Invariants, and Modular Differential Equations
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Weighted badly approximable vectors keep full dimension in any ball
On The Hausdorff Dimension of Weighted Badly Approximable Vectors
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Fourth primitive solution reported for sum of four fifth powers
The fourth known primitive solution to $a^5 + b^5 + c^5 + d^5 = e^5$
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Symmetric Fourier-Jacobi series converge over any CM field
The Geometric Unitary Kudla Conjecture
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Four almost-prime polygonal numbers sum to every large integer
Sums of four generalized polygonal numbers of almost prime length
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Symmetries transitive on most Markoff solutions mod density-one primes
Strong Approximation for the Character Variety of the Four-Times Punctured Sphere