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1209 papers in math.NT · page 14
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Lubin's conjecture holds for height-one p-adic pairs over cyclo-tame extensions
Lubin's conjecture for height-one $p$-adic dynamical systems over cyclo-tame extensions
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Any finite coloring of naturals forces monochromatic x
Monochromatic sums and quotients in $\mathbb N$
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Two definitions of Hasse-Witt invariants for Calabi-Yau varieties match on many examples
Hasse-Witt invariants of Calabi-Yau varieties
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Non-Archimedean spaces follow different Tarski-Maligranda inequalities
Non-Archimedean Tarski-Maligranda Inequalities
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Elliptic curve traces equal p-adic hypergeometric averages
Weighted averages of $p$-adic hypergeometric functions and traces of Frobenius of elliptic curves
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Necessary criterion disproves Möbius uncertainty conjecture for posets
A note on the M\"obius uncertainty principle for posets
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Spin local models for even orthogonal groups are flat when p>2
On $p$-adic integral moduli schemes and local models for PEL type D
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Dirichlet series count new Galois number field families
Counting number fields using multiple Dirichlet series
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Root stacks model Shimura varieties at Γ₁(p)-type levels
Toric schemes and integral models for Shimura varieties with $\Gamma_1(p)$-type level
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Parametric suprema approximated within constructible classes
Approximating parametric suprema for constructible and power-constructible functions
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Every N >= 2 is sum of two numbers with product having at most 40 prime factors
An Explicit Result for the Sum of Two Almost Primes
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Character sums cancel nontrivially in volumetric boxes over F_{p^n}
Burgess-Type Bounds for Character Sums over $\mathbb{F}_{p^n}$
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Torsion orders for GL2 abelian varieties listed conjecturally up to dim 5
Torsion points on $\rm{GL}_2$-type abelian varieties
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Primes in APs counted to moduli x^{9/17} on average
Primes in arithmetic progressions to large moduli and refinements of Harman's sieve
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Visibility detects nontrivial ℓ-torsion in Sha of quadratic twists
Nontrivial torsion in the Tate--Shafarevich group of elliptic curves via visibility and twists
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Stacky Batyrev-Manin holds for modular curve stacks over Q
The stacky Batyrev-Manin conjecture and modular curves
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Polynomial root decides if vectors admit equal-angle sectors
Algebraic Characterizations of Angle Multisections over Rings
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Power partitions obey strongly Gaussian generating functions
Power partitions and Khinchin families
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Eulerian numbers give closed forms for zeta and beta ratio polynomials
Algebraic representatives of the ratios $\zeta(2n+1)/\pi^{2n}$ and $\beta(2n)/\pi^{2n-1}$
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K log N Fourier bound forces large low-doubling subsets
Remarks on the inverse Littlewood conjecture
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Power monoids display unusual factorization behaviors
Power monoids and their arithmetic: a survey
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Geometric polynomials show regular zero spacing inside (-1,0)
Asymptotics and zero behaviour of geometric polynomials
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Non-conjugate subgroups separated by finite lifts
Subgroups with all finite lifts isomorphic are conjugate
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New integral links central L-value to Shalika period on GL4 x GL2
On Periods and $L$-functions for $\mathbf{GL}_4 \times \mathbf{GL}_2$
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Almost all short intervals hold ~h prime-lacunary sums
Short intervals for the Romanoff-type sumset
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Ostrowski numbers set balance in Sturmian rectangles
Balanced rectangles over Sturmian words and minimal discrepancy intervals
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The paper applies an equidistribution theorem for Hecke operators to large N limits in 2d…
Holographic Equidistribution
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Weil representations yield explicit half-integral weight modular forms
Siegel modular forms associated to Weil representations: $\operatorname{SL}_2(\mathbb{R}) \& \operatorname{GL}_2(\mathbb{R})$ cases
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Vandermonde kernels deliver power savings in spectral traces
Multi-scale Vandermonde test kernels for spectral trace formulas
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No repeated cube sums in intervals of length √N
On Sidon sets with squares, cubes and quartics in short intervals
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Split self-maps obey dynamical Mordell-Lang on curve products
Dynamical Mordell-Lang conjecture for split self-maps of affine curve times projective curve
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A field is p-adically closed exactly when its Galois group matches Q_p
The Galois characterisation of $p$-adically closed fields -- A modern perspective
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Gamma nth derivatives algebraic at most n-1 positive integers
Lower Bounds for Densities of Transcendental Gamma-Function Derivatives
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Tighter bounds for when partition numbers start with given digits
On the Digits of Partition Functions
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Hecke-Maass forms gain L^6 power saving over local bound
$L^q$-norm bounds for arithmetic eigenfunctions via microlocal Kakeya-Nikodym estimate
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Torsion groups repeating infinitely often over degree-7 fields listed
Torsion groups of elliptic curves that appear infinitely often over septic fields
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Squares in AP over quadratic extensions limited to length six
Squares in arithmetic progression over quadratic extensions of number fields
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Arithmetic inner product formula now works at ramified places with root number -1
Spherical representations of unitary groups at ramified places and the arithmetic inner product formula
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Graded algebras prove Gölinitz-Gordon-Andrews identities
A proof of the G\"ollnitz-Gordon-Andrews identities via commutative algebra
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Algebra proves J-generalized Rogers-Ramanujan-Gordon identities
$J$-generalization of the Rogers-Ramanujan-Gordon identities via commutative algebra
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Zero rank on two elliptic curves yields finite quadratic points on Fermat quartic
Quadratic points on the Fermat quartic over number fields
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Average count of polynomial sums at prime powers follows asymptotic
On the average number of representations of an integer as a sum of polynomials computed at prime values
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Sha elements admit minimal visualizations of several dimensions
On the Visibility category of the Shafarevich--Tate group
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S-integral points bounded in power-map backward orbits
Uniform bounds on $S$-integral points in backward orbits
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Infinitely many Gamma derivatives at half-integers are transcendental
"Infinitely Often" Transcendence of Gamma-Function Derivatives
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Unconditional axiomatization for ∃3-theory of F_q((t))
Existential fragments of theories of henselian valued fields
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Explicit Brauer-Manin method proves quartics have no rational points
Explicit Brauer-Manin obstructions on plane quartics
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General p-adic period map extends Chabauty-Kim to arbitrary curves
$p$-adic Periods and Selmer Scheme Images
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Elliptic surfaces over k(t) reach Mordell-Weil ranks up to floor((10n-2)/(n-1))
Height moduli of elliptic surfaces: Motivic height zeta rationality and Kudla-Millson modularity of Mordell-Weil rank jumps
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Averaged d_3(n) distribution exponent improves to 8/11
Improved Averaged Distribution of $d_3(n)$ in Prime Arithmetic Progressions