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1209 papers in math.NT · page 19
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Big Heegner classes interpolated along quaternionic Coleman families
Interpolation of generalized Heegner classes along quaternionic Coleman families
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Drinfeld modules yield full Galois images at every prime
On the surjectivity of Galois representations attached to Drinfeld $A$-modules of rank $2$
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Nearby cycles trivial for odd n on GU(n-1,1) local models
Nearby cycles on the local model for the $\mathrm{GU}(n-1,1)$ PEL Shimura variety over a ramified prime
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Asymptotics count rational points near finite type curves
Rational points near planar flat curves
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Torus streams mirror polynomial roots via convolution
Dynamical systems defined by polynomials with algebraic properties
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Coherent sheaf bounds conductors of étale complexes
Bounding ramification with coherent sheaves
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Schinzel hypothesis holds over Z[U] for integrally Hilbertian rings
Integrally Hilbertian rings and the polynomial Schinzel hypothesis
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Asymptotics established for mean squares of Barnes multiple zeta functions
On the mean values of the Barnes multiple zeta function
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Rapoport-Zink strata isomorphic to Deligne-Lusztig varieties
The basic locus of ramified unitary Shimura varieties of signature $(n-1,1)$ at maximal vertex level
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Finitely many sums of two units without real quadratic subfields
Sums of two units in number fields
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Hamming weights bound y^a in convergent sums
Representing an integer and its powers in two unrelated number systems
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Preimage extensions over local fields depend only on v(c)
Local fields, iterated extensions, and Julia Sets
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Zeta integrals for GL2 pairs evaluate integrally at special data
Integrality of $\mathrm{GL}_2\times\mathrm{GL}_2$ Rankin-Selberg integrals for ramified representations
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Many Hilbert modular threefolds of genus 0 and 1 are of general type
The Kodaira dimension of Hilbert modular threefolds
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Subbases of powers achieve any regularly varying sum count
Waring and Waring-Goldbach subbases with prescribed representation function
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Asymptotic formula for second moment of Rankin-Selberg L-functions
The Second Moment of Rankin-Selberg $L$-Functions in Conductor-Dropping Regimes
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Bounds on irreducible factors give power series irreducibility tests
Some factorization results for formal power series
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Galois orbits avoid K-hypersurfaces for every base field
Hypersurfaces passing through the Galois orbit of a point
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Singular affine forms have sub-full dimension with fixed matrix or shift
Dimension bounds for singular affine forms
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Tropical homology realizes numerical cycle quotients
Tropical intersection homology
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Xi-function size-biased distribution obeys functional equations
On curious properties of the general size-biased distribution
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Function fields yield stronger Waring asymptotics than integers
The asymptotic in Waring's problem over function fields via a singular locus in the circle method
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Packing dimension bounds hold for weighted singular matrices on fractals
On the packing dimension of weighted singular matrices on fractals
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Stacky prismatic methods build smooth moduli stacks for p-divisible groups
An algebraicity conjecture of Drinfeld and the moduli of $p$-divisible groups
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All twisted derivations classified in algebraic integer rings
Twisted Derivations in Algebraic Number Fields
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All (σ, τ)-derivations on quadratic integer rings are explicit
$({\sigma}, {\tau})$-Derivations of Number Rings with Coding Theory Applications
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No overconvergent lift of field of norms in anticyclotomic Z_p-extension
Locally analytic vectors and $\mathbf{Z}_p$-extensions
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Prime factorization of values bounds irreducible factors of polynomials
Prime numbers and factorization of polynomials
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Locally analytic vectors ignore p-adic group actions under Shimura duality
A Jacquet-Langlands functor for $p$-adic locally analytic representations
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Ultrafilters prove infinitely many primes with prescribed primitive roots
Global Primitive Roots of Unity
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Resonance method sharpens Omega bounds for divisor and circle problems
An additive application of the resonance method
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GSp(4) Euler systems reduce to one universal class
A universal Euler system for GSp(4)
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Sha[4] over quadratic extension and Sha[2] of twist grow arbitrarily large together
Behaviors of the Tate--Shafarevich group of elliptic curves under quadratic field extensions
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Two-dimensional delta symbol yields asymptotics for quadric intersections
A two-dimensional delta symbol method and its application to pairs of quadratic forms
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KMS states recover Patterson-Sullivan measure on Berkovich line
Noncommutative geometry on the Berkovich projective line
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p-Symmetric term fixes exact first slope of Artin-Schreier curve
Construction of Curves with a Controlled First Slope using p-Symmetric Numbers
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Rainbow Schur triples reach 0.4 fraction in 3-colorings
An Unsure Note on an Un-Schur Problem
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Ramanujan conjecture yields log saving in GL_d L-function second moments
On the second integral moment of $L$-functions
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Curve counts over finite fields are polynomial only for genus ≤8
Moduli spaces of curves with polynomial point counts
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Heavenly elliptic curves finite for each fixed prime over quadratics
Heavenly elliptic curves over quadratic fields
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Linear equations partition regular over floor(n^c) for c below 12/11
Additive Ramsey theory over Piatetski-Shapiro numbers
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Power-saving bound limits abc conjecture exceptions
Bounds on the exceptional set in the $abc$ conjecture
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Condition for O_L freeness over Hopf order in p-adic degree p extensions characterized
Hopf-Galois module structure of degree p extensions of p-adic fields
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First theta lift preserves genericity between dual groups
The tower property on the genericity of global theta lifts
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Hofstadter-like functions ordered by recursion nesting
Pointwise order of generalized Hofstadter functions G, H and beyond
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Iwasawa module intersection finite with probability 1
A Heuristic approach to the Iwasawa theory of elliptic curves
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Diophantine algorithm needs fewer iterations than Euclid in every solvable case
An average case efficient algorithm for solving two-variable linear Diophantine equations
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First virtually nilpotent group with non-D-finite Green series
A virtually nilpotent group whose Green series is not D-finite
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Normalized factors simplify discrete series L-packets for real groups
Discrete series L-packets for real reductive groups
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Fitting ideals commute with limits over non-Noetherian Iwasawa algebras
Fitting Ideals of Projective Limits of Modules over Non-Noetherian Iwasawa Algebras