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447 papers in math.NT · page 2
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Chang's lemma gains cosetwise correlation control
A strengthening of Chang's lemma
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Modified recipe fixes secondary term in L-function moments along cosets
Remarks on the distribution of Dirichlet $L$-functions along cosets
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CM orders in ordinary isogeny classes follow weighted class number laws
Weighted Distributions of Complex Multiplication Orders in Ordinary Isogeny Classes
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Seed prime q constructs larger prime N via cubic congruence
A Deterministic Cryptographic Prime Generation Chain over Monogenic Cubic Number Fields and their Generalizations
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Hexagonal lattice extremizes theta-Epstein zeta ratios
On ratios of theta functions
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Brik recursion yields binary word with transcendental 1-density
Brik's sequence: a strange recursion
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Explicit Anderson generating functions for rank-one Drinfeld modules at higher-degree inf
Anderson generating function of rank-one Drinfeld Module over rational function fields
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α n^d mod 1 shows Poissonian ℓ-point correlations for large d
Poissonian correlations of $\alpha n^d$ mod $1$
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Odd-degree forms have many almost-prime solutions with enough variables
On almost primes solutions to forms of odd degrees in many variables
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Arithmetic progressions predict frequency order of factorization ratios
Frequency Ordered Ratio Families Arising from the Factorization of $p_{m-1}+1$
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Refined Langlands correspondence holds for disconnected real groups
On the refined local Langlands conjecture for discrete $L$-parameters of inner forms of quasi-split disconnected real reductive groups
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Eigenfunctions of quantum cat maps equidistribute on the torus
Equidistribution of Eigenfunctions of Quantum Cat Maps
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Odd unimodal sequence ranks normalize to hyperbolic secant law
Asymptotic Statistics of Odd Unimodal Sequences: Rank Distributions and Probabilistic Structures
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GL3 correlation sums bounded for composite moduli
On algebraic twists with composite moduli, II
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Dense n-dimensional sets contain power configurations
A multidimensional Szemer\'{e}di theorem in integers
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Badly approximable numbers split into winning and losing sets
$\delta$-Badly approximable numbers and ubiquitously losing sets
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Nonlinear cubic Euler sums reduce to zeta and polylog values
Evaluation of eight different families of cubic Euler sums
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Polynomial P reduces recurrence quotients to multi-recurrences
The quotient problem for linear recurrence sequences
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Rankin-Selberg coefficients distribute at level 2/5 + 3/305 modulo prime powers
Rankin--Selberg coefficients in arithmetic progressions modulo prime powers
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Modular iterated integrals match multiple L-functions for all forms
Multiple modular L-functions and modular iterated integrals
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Zeroth and first cohomology computed for LIP sheaf on Kirch topology
A Structure Sheaf for Kirch Topology
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Power-mean spectra for p-adic Schneider map given by polylogarithms
Multifractal analysis of power means for the Schneider map on $p\mathbb{Z}_p$
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Non-residue count fixes G_p value at tenth root of unity
On a polynomial involving quadratic residues modulo primes
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G_p at tenth root equals non-residue sign for p mod 40
On a polynomial involving quadratic residues modulo primes
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Appell functions prove Garvan-Mukhopadhyay mock theta identities
Appell function proofs of recent and old mock theta function identities
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Theta transformations prove McIntosh q-series conjectures
Theta functions and transformations of bilateral basic hypergeometric series
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Cohomology of SL_n congruence subgroups surjects onto building homology
The top cohomology of principal congruence subgroups of special linear groups over Euclidean number rings
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Generalized Markov-Hurwitz equations obey logarithmic asymptotics
The Logarithmic Asymptotic Phenomenon for Generalized Markov-Hurwitz Equations
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Jacobi sum identities yield multiplicative f-ic forms on varieties
Multiplicative $f$-ic forms on algebraic varieties arising from Thaine's generalized Jacobi sums
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Minimal lengths found for Jordan matrix vector representations
Non-Expansive Matrix Based number Systems
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Prime cycles fail 1/t-integral Erdős-Pósa in planar graphs
The Erd\H{o}s-P\'osa property for prime-length cycles fails (and beyond)
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Exponential sums over singular binary quintics get uniform bounds
Exponential sums over singular binary quintics
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Generalized vertex energy handles self-loops in divisor prime graphs
Energy and Vertex Energy of Modified Divisor Prime Graphs
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Genus numbers of S3×Cq fields have explicit averages and moments
Statistics of the Genus Number of $S_3 \times C_2$ and $D_4$-fields
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Crepant resolutions have representation-dependent Euler numbers
The McKay correspondence and local heights for wild-by-tame split metacyclic groups
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Principal units filtration computes G_m-cohomology for p-adic Stein spaces
$\mathbb{G}_m$-cohomology of $p$-adic Stein spaces
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Multiplicative signs yield exponentially small logarithmic sums at many scales
Small values of signed harmonic sums and logarithmic means of multiplicative functions
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Ceiling continued fractions bound Erdős-Straus counterexamples
A Ceiling Continued Fraction Approach to the Erd\H{o}s-Straus Conjecture: Heuristic finiteness of counterexamples
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Chebyshev maps fix explicit numbers of points modulo p^k
Fixed-point lifting and ghost periodic points for Chebyshev polynomials modulo odd prime powers
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Piatetski-Shapiro floors contain thin h-bases for h at least 5
Thin subbases of Piatetski-Shapiro sequences
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Most correspondences on P1 have only finitely many long rational orbits
Rational orbits under correspondences
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Three non-tempered families proven for Gan-Gross-Prasad conjecture
Special periods and some non-tempered cases of the Gan-Gross-Prasad conjecture
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p-adic manifold learning gets algorithm and game benchmarks
$p$-adic Manifold Learning and Benchmark Tasks from Impartial Games
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Eisenstein Hecke algebra rank matches zeta vanishing order
A new perspective on the rank of Mazur's Eisenstein Hecke algebra
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Unimodular matrices with no zeros can keep inverses small too
Small Matrices with Small Inverses: Unimodular Zerofree Cases
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Unimodular zero-free matrices keep both self and inverse small
Small Matrices with Small Inverses: Unimodular Zerofree Cases
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Zerofree unimodular matrices can have small inverses
Small Matrices with Small Inverses: Unimodular Zerofree Cases
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Strassmann theorem extends to several variables
A multivariate Strassmann theorem
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Any number of L-functions can hit large values together on the critical line
Joint extreme values of $L$-functions on and off the critical line
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Cubic orders embed optimally into 1/3 or 2/3 of maximal orders
Optimal embeddings for maximal orders of central simple algebras of degree 3 over number fields