archive
Every paper Pith has read. Search by title, abstract, or pith.
1209 papers in math.NT · page 5
-
Odd unimodal sequence ranks normalize to hyperbolic secant law
Asymptotic Statistics of Odd Unimodal Sequences: Rank Distributions and Probabilistic Structures
-
GL3 correlation sums bounded for composite moduli
On algebraic twists with composite moduli, II
-
Dense n-dimensional sets contain power configurations
A multidimensional Szemer\'{e}di theorem in integers
-
δ-badly approximable numbers have Hausdorff dimension strictly below 1
$\delta$-Badly approximable numbers and ubiquitously losing sets
-
Badly approximable numbers split into winning and losing sets
$\delta$-Badly approximable numbers and ubiquitously losing sets
-
Nonlinear cubic Euler sums reduce to zeta and polylog values
Evaluation of eight different families of cubic Euler sums
-
Polynomial P reduces recurrence quotients to multi-recurrences
The quotient problem for linear recurrence sequences
-
Rankin-Selberg coefficients distribute at level 2/5 + 3/305 modulo prime powers
Rankin--Selberg coefficients in arithmetic progressions modulo prime powers
-
Modular iterated integrals match multiple L-functions for all forms
Multiple modular L-functions and modular iterated integrals
-
Zeroth and first cohomology computed for LIP sheaf on Kirch topology
A Structure Sheaf for Kirch Topology
-
Power-mean spectra for p-adic Schneider map given by polylogarithms
Multifractal analysis of power means for the Schneider map on $p\mathbb{Z}_p$
-
G_p at tenth root equals non-residue sign for p mod 40
On a polynomial involving quadratic residues modulo primes
-
Non-residue count fixes G_p value at tenth root of unity
On a polynomial involving quadratic residues modulo primes
-
Appell functions prove Garvan-Mukhopadhyay mock theta identities
Appell function proofs of recent and old mock theta function identities
-
Theta transformations prove McIntosh q-series conjectures
Theta functions and transformations of bilateral basic hypergeometric series
-
Theta transformations prove McIntosh q-series conjectures
Theta functions and transformations of bilateral basic hypergeometric series
-
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
-
Few-state machines rank conjecture decidability via Busy Beaver
Measuring Decidability as Related to Busy Beaver Numbers
-
Generalized Markov-Hurwitz equations obey logarithmic asymptotics
The Logarithmic Asymptotic Phenomenon for Generalized Markov-Hurwitz Equations
-
Jacobi sum identities yield multiplicative f-ic forms on varieties
Multiplicative $f$-ic forms on algebraic varieties arising from Thaine's generalized Jacobi sums
-
Minimal lengths found for Jordan matrix vector representations
Non-Expansive Matrix Based number Systems
-
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)
-
Exponential sums over singular binary quintics get uniform bounds
Exponential sums over singular binary quintics
-
Generalized vertex energy handles self-loops in divisor prime graphs
Energy and Vertex Energy of Modified Divisor Prime Graphs
-
Genus numbers of S3×Cq fields have explicit averages and moments
Statistics of the Genus Number of $S_3 \times C_q$ and $D_4$-fields
-
Genus numbers of S3×Cq-fields have explicit averages and moments
Statistics of the Genus Number of $S_3 \times C_q$ and $D_4$-fields
-
Crepant resolutions have representation-dependent Euler numbers
The McKay correspondence and local heights for wild-by-tame split metacyclic groups
-
Principal units filtration computes G_m-cohomology for p-adic Stein spaces
$\mathbb{G}_m$-cohomology of $p$-adic Stein spaces
-
Multiplicative signs yield exponentially small logarithmic sums at many scales
Small values of signed harmonic sums and logarithmic means of multiplicative functions
-
Ceiling continued fractions bound Erdős-Straus counterexamples
A Ceiling Continued Fraction Approach to the Erd\H{o}s-Straus Conjecture: Heuristic finiteness of counterexamples
-
Chebyshev maps fix explicit numbers of points modulo p^k
Fixed-point lifting and ghost periodic points for Chebyshev polynomials modulo odd prime powers
-
Piatetski-Shapiro floors contain thin h-bases for h at least 5
Thin subbases of Piatetski-Shapiro sequences
-
Most correspondences on P1 have only finitely many long rational orbits
Rational orbits under correspondences
-
Three non-tempered families proven for Gan-Gross-Prasad conjecture
Special periods and some non-tempered cases of the Gan-Gross-Prasad conjecture
-
p-adic manifold learning gets algorithm and game benchmarks
$p$-adic Manifold Learning and Benchmark Tasks from Impartial Games
-
Eisenstein Hecke algebra rank matches zeta vanishing order
A new perspective on the rank of Mazur's Eisenstein Hecke algebra
-
Zerofree unimodular matrices can have small inverses
Small Matrices with Small Inverses: Unimodular Zerofree Cases
-
Unimodular matrices with no zeros can keep inverses small too
Small Matrices with Small Inverses: Unimodular Zerofree Cases
-
Unimodular zero-free matrices keep both self and inverse small
Small Matrices with Small Inverses: Unimodular Zerofree Cases
-
Strassmann theorem extends to several variables
A multivariate Strassmann theorem
-
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
-
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
-
Lectures recast topology as condensed sets for algebraic use
Lectures on Condensed Mathematics
-
Liquid vector spaces ground new analytic geometry
Lectures on Analytic Geometry
-
Twisted Yu construction extends to residual characteristic 2
Characteristic-free approaches around Yu's construction
-
GL_n cohomology vectors get infinitesimal characters from Galois Sen operators
Infinitesimal characters for the completed cohomology of $\mathrm{GL}_n$ over CM fields
-
Lower bounds proven for signed sumsets in groups and fields
Signed sumsets and restricted signed sumsets in groups and fields
-
Mod 2 reductions of crystalline Galois reps fixed by parameters alpha' and alpha
Behaviour of Certain Crystalline Representations modulo $2$
-
Sieve finds all power integral bases in quintic fields fast
Monogenity of pure quintic fields: the power of sieving
-
Sieve finds all power bases in quintic fields in minutes
Monogenity of pure quintic fields: the power of sieving