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1209 papers in math.NT · page 20
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Abelian Shimura varieties get parahoric integral models over odd primes
Integral models of Shimura varieties with parahoric level structure, II
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Formulas tie Möbius correlations to zeta zeros under RH
Correlations of multiplicative functions with their partial sums
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Divisorial spaces generalize arithmetic intersections to adelic curves
Abstract divisorial spaces and arithmetic intersection numbers
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Overpartition k-tuples satisfy congruences mod powers of 3
Arithmetic Properties modulo powers of $2$ and $3$ for Overpartition $k$-Tuples with Odd Parts
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Contraction inverses grant shadowing and stability to p-adic maps
Shadowing and Stability of Non-Invertible $p$-adic Dynamics
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Non-twist GL(2) pairs have larger eigenvalues on positive density set
Comparing Hecke eigenvalues for pairs of automorphic representations for GL(2)
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Igusa stacks built for all Hodge-type Shimura varieties
Igusa Stacks and the Cohomology of Shimura Varieties
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Hybrid subconvexity bounds proved for twisted GL3 L-functions
Strong Hybrid Subconvexity for Twisted Selfdual $\mathrm{GL}_3$ $L$-Functions
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Component groups of ℓ-adic and mod ℓ monodromy groups coincide for large ℓ
Comparison of component groups of $\ell$-adic and mod $\ell$ monodromy groups
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Moments of S(t,f) admit unconditional asymptotics
On a level analog of Selberg's result on $S(t)$
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Minimal torsion degrees fully characterized for rational and CM classes
Minimal torsion curves in geometric isogeny classes
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Residual GL_4 L-values are rational multiples of Shalika periods
Critical values of $L$-functions of residual representations of $\mathrm{GL}_4$
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Weyl-Heisenberg SIC counts match quadratic class monoid sizes
SIC-POVMs and orders of real quadratic fields
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Rankin-Selberg integral on GSp(2) computed for square-free levels
The Ranking-Selberg integral on ${\bf GSp(2)}$ for square free levels
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Twisted Plücker polynomials locate solutions in Jacobian reduction
Pluckerians twisted with linear forms and Druzkowski maps
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Lambda-basis for cyclotomic units when field equals narrow genus field
Bases for some modules of cyclotomic units
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Local Euler factors in Rankin-Selberg Euler systems shown integrally optimal
On Rankin-Selberg integral structures and Euler systems for $\mathrm{GL}_2\times \mathrm{GL}_2$
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Algorithm computes d(n;a,b,c) in O(log b) time
A Fast Algorithm for Denumerants with Three Variables
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Picard group matches K0 of Cuntz-Pimsner algebra
Arakelov geometry of Cuntz-Pimsner algebras
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Algebraic proofs verify modular inequalities for optimal sphere packings
Algebraic proof of modular form inequalities for optimal sphere packings
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Five-dim Galois systems stay irreducible almost everywhere
Five-dimensional compatible systems and the Tate conjecture for elliptic surfaces
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Dirichlet polynomial bounds give zeta zero density T to 30(1-sigma)/13
New large value estimates for Dirichlet polynomials
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Crystalline (ϕ,Γ)-modules equivalent to Galois representations
On the $(\varphi,\Gamma)$-modules corresponding to crystalline representations
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Rank-one curves tie class-group component to p-adic L divisibility
On $p$-adic $L$-functions of elliptic curves and the ideal class groups of the division fields
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Jacquet-Langlands preserves densities over arithmetic groups
An Arithmetic Invariant of the Jacquet-Langlands correspondence
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Prismatic F-crystals equivalent to relative Wach modules
Prismatic $F$-crystals and Wach modules
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Edge eigenvalues become q-powers after bounded exponent in Lie buildings
Edge Zeta Functions and Eigenvalues for Buildings of Finite Groups of Lie Type
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Effective bound limits discriminants of singular moduli in power sums
Some uniform effective results on Andr\'{e}--Oort for sums of powers in $\mathbb{C}^n$
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Refined subconvexity yields best newform correlation bounds
Effective correlation and decorrelation for newforms, and weak subconvexity for $L$-functions
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Gaps in multiplication table fully classified for any N
The gaps in the multiplication table
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Sets A exist with r_A(n) matching any regularly varying F above log n
Representation functions with prescribed rates of growth
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K-theory removes semi-simplicity from zeta-value formula
Special Values without Semi-Simplicity Via K-Theory
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Parity results added for two eta-quotient classes
Parity of the coefficients of certain eta-quotients, III: two special classes
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Galois deformation rings in generalized groups are complete intersections
On local Galois deformation rings: generalised reductive groups
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Ball's magic numbers link to reverse divisors
Reverse Divisors and Magic Numbers
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Even-carry polynomials solve n=3 cohomology recurrence
Even-carry polynomials and cohomology of line bundles on the incidence correspondence in positive characteristic
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CMPP conjectures resolved via non-standard module specializations
Remarks on the conjectures of Capparelli, Meurman, Primc and Primc
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ε-factors stabilize for GL_n under highly ramified twists
An observation concerning highly ramified $\epsilon$-factors
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S-integer rings are Diophantine in function fields
Universally defining subrings in function fields
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Graph versions of arithmetic transfer conjectures proven
Quasi-canonical AFL and Arithmetic Transfer conjectures at parahoric levels
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Canonical integral models exist for Hodge-type Shimura varieties
On a conjecture of Pappas and Rapoport
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Kirwan resolution of 12-point space is not semi-toroidal
Compactifications of the Eisenstein ancestral Deligne-Mostow variety
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Fermat quotient valuation controls class groups in Z_p-extensions
On the $\mathbb{Z}_p$-extensions of a totally $p$-adic imaginary quadratic field -- With an appendix by Jean-Fran\c{c}ois Jaulent
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Local L2 averaging improves circle problem error to 9/14 + ε
Local square mean in the hyperbolic circle problem
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Root cluster depth sets toric rank for char-2 hyperelliptic curves
Clusters, toric ranks, and 2-ranks of hyperelliptic curves in the wild case
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Rational maps yield non-martingale fixed-point processes
Non-Martingale Fixed-Point Processes for Iterated Monodromy Groups
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Wavefront bound conjecture equals Jiang's for p-adic reps
On the upper bound of wavefront sets of representations of p-adic groups
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Artin-Schreier quandle refines real spectra of fields via Galois involutions
Artin-Schreier quandles of involutions in absolute Galois groups
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Algorithms solve norm equation to factor differential operators in char p
Factoring Linear Differential Operators in Positive Characteristic by means of Solving a Norm Equation
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Weyl bounds yield ball discrepancy controls for polynomial points
Distribution of solutions to systems of congruences in balls