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1209 papers in math.NT · page 9
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Unique solution continues mock theta functions across natural boundary
On Uniqueness of Mock Theta Functions
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Closed forms now exist for densities of d dividing ranks of appearance
Explicit Prime Densities for the Rank of Appearance in Lucas Sequences
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Closed forms give density of primes with d dividing rank of appearance
Explicit Prime Densities for the Rank of Appearance in Lucas Sequences
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Lattice domains cut error in high-degree ideal counts
Explicit counting of ideals in number fields of arbitrary degree
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Arithmetic functions induce preorders on consecutive integer sequences
Pseudometrics and preorders on sets of integer sequences induced by arithmetic functions functions
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Local conditions guarantee global primitive representations
Representations of binary quadratic forms by quaternary quadratic forms
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Coset comparison proves reciprocity for dth power symbols in F_q[t]
On the reciprocity law in $\mathbb{F}_{q}[t]$
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Division algorithms supplied for every known norm-Euclidean imaginary quadratic field
Division algorithms for norm-Euclidean imaginary quadratic fields
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Rational points on Euler surface yield infinite quartic Diophantine quadruples
Quartic Rational Diophantine Quadruples and the Euler Surface
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Trees realize independent-set counts with growth exponent 0.1966
Independent Sets and Continued Fractions
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Circle method beats square-root barrier for Perazzo cubics
Beyond the square-root barrier: cubic forms of Perazzo type
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Scott-Styer conjecture confirmed for primes 7
Handling some Diophantine equation via Euclidean algorithm and its application to purely exponential equations
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All degree-3 rational functions over odd finite fields classified
Classification of Rational Functions of Degree Three over Finite Fields
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All degree-three rational functions over odd finite fields classified
Classification of Rational Functions of Degree Three over Finite Fields
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Cuspidal GL(2) forms gain log savings in polynomial Hecke sums
Sums of Hecke eigenvalues along polynomial sequences and base change for $\text{GL}(2)$
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Product of non-vanishing Fourier transforms must vanish at infinity
Algebraic numbers and Fourier analysis: Salem's third problem
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Subsets containing 1 all arise as product intersection sets for |Q| >= 2
Global Product Intersection Sets in Semigroups
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Monogenic x^{12} + a x^6 + b trinomials listed by Galois group
Characterizing monogenic trinomials $\boldsymbol{x^{12}+ax^6+b}$ according to their Galois groups
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Density 1-O(log n/n) forces large copies of any n-point set
Near-optimal density theorems for large dilates of large point configurations
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One modular exponentiation tests primality for Kp^ℓ-1 numbers
A primality test for $Kp^\ell - 1$ numbers
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Unirational groups yield rational Néron jumps
Unirational algebraic groups and tame ramification
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Eigenvarieties for genus-2 Siegel forms carry symplectic Galois families
Families of symplectic Galois representations over small parabolic eigenvarieties for Siegel cuspforms of genus $2$
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Exact formula derived for pod₂(n) partitions
A Rademacher exact type formula for pod$_2(n)$
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Fibration theorem solves Grunwald problem for solvable groups
Solvable Descent and the Grunwald Problem for Solvable Groups
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Superspecial genus-4 curves confirmed for every prime below one million
Generalized Howe curves of genus 4, 5, and 6 with completely decomposable Jacobians
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Sophie Germain primes force odd-length arithmetic progressions in Fibonacci indices
Sophie Germain Primes and the Totient of Fibonacci Numbers
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Duality proves mu(n) omega(n)^k sums vanish for all k
Duality Between Prime Factors and The Prime Number Theorem For Arithmetic Progressions -- Higher Order Dualities
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Semistable reduction holds for overconvergent F-isocrystals over k((t))
Semistable Reduction Theorem for Overconvergent $F$-isocrystals over Laurent Series Fields
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Kodaira-Spencer maps compare canonical line bundles on PEL varieties
Explicit Kodaira-Spencer maps over PEL Shimura varieties
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Erdős non-dividing subsets have computable density
Forbidden subgraphs in divisor graphs and an Erd\H{o}s divisibility problem
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Canonical map to imperfect coefficient ring is isomorphism even when ramified
A remark on an integral structure of the imperfect coefficient ring of $(\varphi,\Gamma)$-modules
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Joint Sato-Tate law holds on curved regions for newform pairs
Effective Joint Sato-Tate Distribution and Sign Change of Symmetric Power Coefficients
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Partial resolution proves crystalline rings potentially diagonalizable
Resolutions of spaces of crystalline representations and modularity
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k-Markov numbers become monotonic along more random lines as k grows
Orderings of Generalized k-Markov Numbers
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Distinct partitions collide under pre_k maps
Elementary symmetric polynomials and a potentially injective family of maps on partitions
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Markov fractions equal Cohn matrix indices
Markov fractions and Cohn matrices
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Fibonacci concatenation may be normal if interior digits stay uniform
On the normality of the concatenated Fibonacci constant
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Optimal constant identified for dense sum-product bounds in F_p
The sum-product phenomenon for dense subsets of finite fields
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Morphism spaces stabilize for supersingular Drinfeld modules
Supersingular Drinfeld modules, Brandt matrices, and rank-metric codes
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Elliptic Dedekind sums have Gaussian limiting distribution
The Limiting Distribution of Elliptic Dedekind Sums
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Markov numbers from matrix semigroups equal wug-snake graph matchings
Wug-snake graphs and Markov numbers of matrix semigroups
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Abelian variety families with small l-adic systems fail to lift in char p
Non-liftability of Families of Abelian Varieties with Small $l$-adic Local System
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Infinitely many positive rational triples make pair products plus one fourth powers
On Regular Higher Power Rational Diophantine Triples
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Average ranks of elliptic curves bounded over any global field
Geometry-of-numbers methods over global fields II: Coregular representations
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Mod p reductions of semi-stable reps computed for weights up to 3p+1
Reduction mod $p$ of semi-stable representations of some super-Breuil weights
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Möbius disjointness holds for infinite-torus flow in short intervals
M\"obius disjointness conjecture for Furstenberg's flow on $\mathbb{T}^\omega$ in short intervals
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Optimal shift improves Dirichlet divisor estimates
Optimal Shifting Method in Dirichlet's divisor problem
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Macaulay2 package implements p-adic numbers with FLINT
Implementing p-adic numbers in Macaulay2 using its foreign function interface and FLINT
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Nested rational points force equal quadrics over finite fields
Maximal quadrics over finite fields and minimal codewords of projective Reed-Muller codes
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Hurwitz lectures deliver substitution proof of Galois theorem
Adolf Hurwitz and the Fundamental Theorem of Galois Theorie: The K\"onigsberg Lectures of 1890-1891