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1209 papers in math.NT · page 15
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Degree-10 polynomial divides no Newman polynomial
Algorithmic aspects of Newman polynomials and their divisors
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Coverings force |a^m
Two dimensional covering systems and possible prime producing $a^m-b^n$
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Variance of 1/p digits equals class-number formula for half periods
On the variance of the digits of $1/p$
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Extensions of dual p-adic GL2 representations fully classified
A note on extensions of $p$-adic representations of $\mathrm{GL}_2(\mathbb{Q}_p)$
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Degree k controls infinite sumset patterns in uniform sets
Infinite sumsets in $U^k(\Phi)$-uniform sets
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Brauer groups match for varieties and their symmetric products
Unramified Brauer groups of symmetric products and the Brauer-Manin obstructions
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Hurwitz spaces gain components over the rationals
Hurwitz spaces and Inverse Galois Theory
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Restricted partitions produce mixed modular generating functions
Restricted Overpartitions and concave compositions: their modularity and asymptotics
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Drinfeld modules yield new infinite semifield codes
Rank metric codes from Drinfeld modules
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Smaller primes claim larger powers in big factorials
On the sizes of the maximal prime powers divisors of factorials
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Inverses obtained for six classes of trace-based permutation polynomials
Inverses of six classes of permutation polynomials of the form $x+\gamma\operatorname{Tr}_q^{q^2}(h(x))$ over finite fields of even characteristic
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Formal power series prove e is transcendental
The transcendence of $\mathrm{e}$ via formal power series
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Incenter stays rational over k exactly when bisectors do
Rational Angle Bisection Problem in Higher Dimensional Spaces and Incenters of Simplices over Fields
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Polynomial algorithm finds orthogonal bases for p-adic lattices
Notes on the LVP and CVP in $p$-adic Fields
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Sumset of intersection equals intersection of sumsets only sometimes
Intersections of sumsets in additive number theory
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Formulas count blue-even two-color partitions and yield identities
Two-color partitions with evens in one color
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Perfect pairing extends to singular varieties over p-adics
Lichtenbaum-van Hamel duality for singular varieties over $p$-adic fields
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GCD ratio map equals 1 with density 0.88151
On the Limiting Density of a gcd Map
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Diophantine problem over power circuits is undecidable
On the Diophantine problem related to power circuits
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Restriction estimates hold for sifted integers up to N
Restriction estimates with sifted integers
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Jacobi sum products equal cyclotomic matrix determinants
On new identities of Jacobi sums and related cyclotomic matrices
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Tropical averaging sets limits for convex domain loci
Limits of equi-affine equi-distant loci of planar convex domains with two non-parallel asymptotes
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GRH lets unitary L-function zeros match prediction to 8/3 support
One-level density of zeros of $\Gamma_1(q)$ $L$-functions
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Condition on power differences yields locally-APN binomials with boomerang uniformity 2
Locally-APN Binomials with Low Boomerang Uniformity in Odd Characteristic
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Spin local models for split GO_{2n} are flat with reduced fibers
On the flatness of spin local models for split even orthogonal groups
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Polynomials equidistribute in function-field tori under p-exclusion
Equidistribution of polynomial sequences in function fields: resolution of a conjecture
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Complements to r-th powers force excess representations of size N^{1-1/r}
Cross representations of additive complements of $r$-th powers
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First zero of L-functions mod large q below 1075 mean spacings
Unconditional estimates on the argument of Dirichlet $L$-functions with applications to low-lying zeros
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Boundary probabilities control asymptotics for divisor counts
Poisson-Dirichlet approximation for counting integers with divisors in an interval
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Fiber product formula holds for meta-unitary Shimura varieties
Igusa Stack for some exceptional Shimura Varieties
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New summation formulas extend Sury's identity
Further Extensions of Sury's Identity
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p-adic gamma functions extended to |r|_p = 1
On $p$-adic incomplete Mellin transforms and $p$-adic incomplete gamma-functions
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Generalized D(n) proves Glaisher identity for m=3
On Glaisher's Partition Theorem
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ε-neighborhoods of bounded continued fraction sets grow by dimension power law
Asymptotic statistics for finite continued fractions with restricted digits
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Class numbers of unit-generated quadratic orders ~ log(discriminant)
Unit-generated orders of real quadratic fields I. Class number bounds
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Recurrences link smallest parts function to Hecke traces
Recurrence and congruences for the smallest parts function
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Raimi partitions lift to spheres and cylinders
Raimi's theorem for manifolds with circle symmetry
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GL(3) cuspidal reps lift to GL(8) via triality
Triality and adjoint lifting for GL(3)
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Parameterized equations extend Markov spectra with dual realizations
Generalized discrete Markov spectra
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k-Markov numbers obey Aigner's conjectures
Orderings of k-Markov Numbers
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Cuspform congruences induce congruences in L-value ratios
Eisenstein cohomology and congruences for the ratios of Rankin--Selberg $L$-functions
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Short interval primes distribute uniformly for quadratic irrationals
Diophantine approximation with primes from short intervals
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Discrete sums on cycles yield exact L-function special values
A discrete approach to Dirichlet L-functions, their special values and zeros
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Infinitely many n keep omega(n+k) at most O(k) for every k
Quantitative correlations and some problems on prime factors of consecutive integers
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Brauer-Manin obstruction alone controls strong approximation for BG
The \'{e}tale Brauer-Manin obstruction for classifying stacks
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q ≤ log₂(b+1) except finite pairs for (2^k-1)(b^k-1)=y^q
The diophantine equation $(2^{k}-1)(b^{k}-1)=y^{q}$
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Distinct weights label distinct Singer eigenvalues below degree q-1
Spectral Separation and Eigenvalue Labelling for Polynomial Tensor Representations of General Linear Groups
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Spectral construction yields ρ-Fourier transform on L²(G(F))
The $\rho$-Fourier transform
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Lattice in GL2 type fixed by Galois data at p
Breuil's Lattice Conjecture for GL2(K)
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Power-saving bound for shifted convolutions of GL(d) Maass forms
Average shifted convolution sum for $GL(d_1)\times GL(d_2)$