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Every paper Pith has read. Search by title, abstract, or pith.
1209 papers in math.NT · page 1
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Projective planes force some intersection size to repeat on Θ(q^{3/2}) lines
Balanced intersection size distributions in projective planes
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Congruence classes solve Erdős-Straus for 586 primes
Congruence Classes of Supporting the Erd\"{o}s-Straus Conjecture I: Tame Solutions
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Top cohomology of Γ_{0,n}^+(p) vanishes for small primes p
Top-dimensional rational cohomology of the congruence subgroup $\Gamma_{0,n}^+(p)$
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Tilting preserves arithmetic definability of henselian valuations
Definability via the tilting correspondence
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KZ equation has modular solutions only for weights in five classes mod 6 and (6n+1)/5
On modular forms of rational weight satisfying the canonical second-order linear modular differential equation
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Iwasawa λ-invariants distribute over isogeny graphs as ℓ varies
Distributions of Iwasawa $\lambda$-invariants of $\mathbf{Z}_p$-towers over supersingular isogeny graphs
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Only 1 and 7 are Woodall numbers in Padovan sequence
Cullen and Woodall numbers in Padovan and Perrin sequences
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Polynomial return sets syndetic iff polynomials linearly independent
Sets of large values of polynomial multi-correlation functions
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Primes in short intervals obey Poisson law for slowly growing λ
The Poisson Tail Conjecture for Primes in Short Intervals
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Generating function proves three formulas for complete Bell polynomials
Concise and elegant proofs of three formulas for complete Bell polynomials
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Bell transform unifies convolutions and Euler products for arithmetic functions
Bell Transforms of Arithmetic Functions: Euler Products, Congruences, and Polynomial Sequences
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Prime graph covered by O(n log log n / log n) lines
Lines in the prime number graph
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Prime graph covered by O(n log log n / log n) lines
Lines in the prime number graph
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Eisenstein regularization must track both zeros and poles
Rethinking the work of Langlands on Eisenstein series
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Arboreal Galois maximality checked at level four for PCF map
Arboreal Galois Groups of a PCF Map with Strictly Pre-periodic Critical Points
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Elliptic curve parametrizes Heron triangles with two square sides
A Complete Characterization of Heron Triangles with Two Perfect Square Sides and the All-Square Equivalence Condition
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Zeta(-n) = -B_{n+1}/(n+1) from Cesaro limits of distributions
A quick distributional way to reproduce some results of the Riemann zeta function
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Semi-integral points on cubics follow Manin asymptotic
The distribution of semi-integral points on a class of singular cubic hypersurfaces
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Gamma(p/q) reduces to Beta values that are Kontsevich-Zagier periods
Computing Gamma(p/q) with Beta function values
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Fine Mordell-Weil groups share structure across Z_p-extension layers
On the structure of fine Mordell-Weil groups over a $\mathbb{Z}_p$-extension and its intermediate subextensions
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Random surfaces give closed geodesic variance ~ 2H log X
Closed geodesics in short intervals for random hyperbolic surfaces
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Random lattices obey 1/T tail bound on γ(L) uniformly in dimension
A Uniform Random-Lattice Tail Bound for the SVP Kissing-Profile Parameter
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Coset traces on cubic norm tori equal global average plus sqrt(q) error
Coset-refined trace statistics, nodal characters, and affine branches in cubic norm tori
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Large odd integers sum to prime plus two reversed primes
The reverse Goldbach problem and a refined Zsiflaw--Legeis theorem
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Quadratic forms classify undirected graphs on finite field subspaces
Graphs from quadratic forms and vector spaces over finite fields
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Fixed-denominator rationals almost all reach integers under T
Rational dynamics of a prime-representing map
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Steinhaus sums are normal only for sets of o(1) density
Escaping Chaos in Random Multiplicative Functions
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2007 survey maps arboreal Galois representations at renewal
2007: An Arboreal Odyssey: A View of Arboreal Galois Representations and Applications, from Early in the Subject's History
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Divisor and circle errors reach sharp omega size with signs
Sharp omega results for the divisor and circle problems
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Overcolored odd partitions satisfy new 2-power congruences for infinitely many s
Arithmetic Properties of Overcolored Odd Partitions
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Dirichlet spectrum bound tightened to 0.94866
An Improved Upper Bound for the Dirichlet Spectrum in Diophantine Approximation
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GRH yields binomial coefficients without divisors near n
Binomial coefficients with divisors avoiding an interval
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Double Lambert series coeff equals sum of divisors
Two Proofs of a Conjecture of Amdeberhan, Andrews and Ballantine for double Lambert series and a new Representation for $E_2(q)$
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Romik map yields continued fraction using only digits 0
A strange continued fraction associated with the Romik map
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Quasiautomorphic forms biject with Hecke vector-forms
Quasiautomorphic forms are isomorphic to vector-valued automorphic forms
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Valuation criterion fixes Zadoff-Chu equivalence rule
A Local Valuation Criterion for Quadratic-Permutation Interleaved Zadoff--Chu Sequences
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Fibonacci lattice energies equal linear growth plus constant
Precise Asymptotics and Exact Formulas for Tensor Product Energies of Fibonacci Lattices
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Asymptotic FLT holds in cyclotomic layers over real fields
Generalized Fermat equation over cyclotomic $\mathbb{Z}_l$-extensions of totally real fields
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Non-elliptic terms give o(X) errors in summed GL2 trace formula
Beyond endoscopy for $\mathsf{GL}_2$ over $\mathbb{Q}$ with ramification 4: contribution of non-elliptic parts
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GL(3) Fourier sums scaled by x^{-1/3} have a limiting distribution
Limiting Distribution and Rate of Convergence for GL(3) Fourier Coefficients
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Algebraic point set disproves Erdős unit distance conjecture
Remarks on the disproof of the unit distance conjecture
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Elliptic curve pseudorandom vectors bound by sqrt(q)/t under period condition
On discrepancy estimates for pseudorandom vectors constructed by the elliptic curve congruential generator
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Pro-étale fundamental group reduces to normalizations plus free group
The pro-\'etale fundamental group of singular schemes
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Point sets achieve over n^1.014 unit distances
An explicit lower bound for the unit distance problem
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Three filters clear five impostor kernels in unitary perfect search
Bounded-box reductions in the Subbarao-Warren problem for unitary perfect numbers
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p-adic matrix eigenvalues spread evenly over extensions
Eigenvalue Distribution of $p$-adic Random Matrices Among Algebraic Extensions, with an Analogue for $p$-adic Random Polynomials
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Exact formula counts primes between consecutive odd squares
A Matrix-Theoretic Exact Formula for Counting Primes in Intervals Between Consecutive Odd Squares
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Motivic local systems capture one-loop Feynman integrals with cuts
Motivic Galois theory for one-loop Feynman integrals in momentum space
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Log Manin's conjecture holds for Campana curves on toric varieties
Manin's conjecture for semi-integral curves and $\mathbb A^1$-connectedness
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Split primes give A_mp ≡ A_m mod p^4 for mixed CM hypergeometric coefficients
Split-prime supercongruence at the mixed CM point (1/6, 1/3; 1)