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1209 papers in math.NT · page 17
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Hecke polynomials from weak eigenforms confine zeros to [0,1728]
Zeros of Hecke polynomials arising from weak eigenforms
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Automata decide balance of Fibonacci word rectangles
Balanced Fibonacci word rectangles, and beyond
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Shimura varieties extend rigid maps from punctured p-adic disks
$p$-adic hyperbolicity for Shimura varieties and period images
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Criterion decides when q-series are modular
Modularity from $q$-series
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2x2 matrices with det h number (16/ζ(2))N² ∑1/d
Counting $2 \times 2$ integer matrices with a given determinant
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Non-empty intersections of Ekedahl-Oort and Newton strata listed for A5
Intersections of the Ekedahl-Oort and Newton Strata of $\mathcal{A}_{5}$
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Fermat-linked polynomials irreducible for infinite families of n
Irreducibility and locus of complex roots of polynomials related to Fermat's Last Theorem
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Moment bounds for multiplicative random sums hold at any order
A few notes on the asymptotic behavior of Rademacher random multiplicative functions
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Exact separating Noether number determined for rank-4 abelian groups
On separating sets of polynomial invariants of finite abelian group actions
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Folkman's theorem proves there are infinitely many primes
Folkman's theorem and the primes
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Folkman's theorem proves infinitely many primes
Folkman's theorem and the primes
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Generalized p-adic hypergeometrics obey Asakura congruences
On special values of generalized $p$-adic hypergeometric functions of logarithmic type
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ML models learn primes better near 500 million than below 25 million
Machine Learnability as a Measure of Order in Aperiodic Sequences
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Path integral over torsion matches Frobenius trace up to sign
A Trace-Path Integral Formula over Function Fields
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Integral points near boundary points lie on rational curves
Integral Diophantine approximation on varieties
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Bombieri-Vinogradov theorem holds for sectors in quadratic fields
A Bombieri-Vinogradov theorem for sectors in real quadratic number fields
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Dihedral group realizes every integer quotient size difference
Comparing Left and Right Quotient Sets in Groups
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Ford domain complexity for Γ₀(N) vanishes only for specific N
The complexity of Ford domains of $\Gamma_0(N)$
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Quadratic fields realize metacyclic groups as Galois groups in pro-2 towers
On the Existence of the Maximal Unramified Pro-$2$-Extension over the Cyclotomic $\mathbb{Z}_2$-Extension with Prescribed Metacyclic Galois Group
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Adapted rings enable perfectoid spaces in multivariate p-adic Hodge theory
Perfectoid Spaces in Multivariate $p$-adic Hodge Theory
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Lower bounds derived for linear forms with Chowla-Selberg periods
Linear independence measures for Chowla--Selberg periods
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K3 pencils realize hypergeometric motives explicitly
Hypergeometric decomposition of Delsarte K3 pencils
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Howe duality proven for SL_2(R) x F_{4,1} via K-type ping-pong
Howe duality for the dual pair $SL_2(\mathbb R) \times F_{4,1}$: a ping-pong of $K$-types
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Character sums at binary quadratics bounded modulo prime powers
Character sums to prime power moduli evaluated at binary quadratic forms
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Character sums at quadratic forms work for prime-power moduli
Character sums to prime power moduli evaluated at binary quadratic forms
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All exceptions to Hasse bound listed below 10^70
On a remark of Serre
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Resurgent orbits fix dual q-series growth and effective central charge
$c_{\rm eff}$ from Resurgence at the Stokes Line
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Asymptotics for integral rational points on del Pezzo surfaces
Counting points on a family of degree one del Pezzo surfaces
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Q-scaled denominators of consecutive saturated Farey fractions dense in V
On denominators of consecutive $\operatorname{SL}(2,{\mathbb N})$-saturated Farey fractions
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Adelic formulas link lattice and hierarchical percolation
Adelic Models of Percolation
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Explicit elliptic asymptotics for ramified GL_2 trace formula
Beyond endoscopy for $\mathsf{GL}_2$ over $\mathbb{Q}$ with ramification 3: contribution of the elliptic part
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Zeta coefficients classify Galois groups via decision rules
Machines Learn Number Fields, But How? The Case of Galois Groups
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No rational vectors for non-univariate period 4 in quadratic replacement
Replacement dynamics of binary quadratic forms
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Zeta generators yield coactions for genus-one Eisenstein integrals
Towards Motivic Coactions at Genus One from Zeta Generators
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Degenerate discrete series carry nonzero cohomology at fixed degree
Nonzero $\mathfrak{n}$-cohomology of Totally Degenerate Limit of Discrete Series representations
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Second gap in Φ_pq equals max(r-1
Gaps in binary cyclotomic polynomials
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Barnes double zeta gets explicit Laurent coefficients via double sums
On the Laurent series expansions of the Barnes double zeta function
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One repeated odd modulus covers all integers
A further investigation on covering systems with odd moduli
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Prime theorem holds in shorter intervals for arithmetic progressions
Refinements for primes in short arithmetic progressions
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Multiple wp-functions reduce to single wp via Eisenstein series
Multiple $\wp$-Functions and Their Applications
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Error term inequalities equivalent to Riemann hypothesis
Correlations of error terms for weighted prime counting functions
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Weighted curve moduli arise as log models of five-point space
Remarks on two problems by Hassett
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X^n-1 is 3-sparse over F_q under rad or 7-family conditions
The $3$-sparsity of $X^n-1$ over finite fields, II
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Torsion Albanese kernel yields algorithm for Jacobian height pairing
Generalised height pairings and the Albanese kernel
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Dimensions of auto and EO strata intersections computed for genus 2 curves
Intersections of the automorphism and the Ekedahl-Oort strata in $M_2$
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Quasi-characters stabilize alternating signs at n ~ c/12
Signs, growth and admissibility of quasi-characters and the holomorphic modular bootstrap for RCFT
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Exceptional Shimura varieties embed into Siegel modular varieties
Embeddings of Certain Exceptional Shimura Varieties into Siegel Modular Varieties
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Most fields with sqrt(6) or sqrt(7) need at least six squares
On biquadratic fields: when 5 squares are not enough
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GCD map f(a,b) equals 1 with density 0.88151
On the Asymptotic Density of a GCD-based Map
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Stratification theorems for exponential sums extend uniformly to families
Stratification theorems for exponential sums in families