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Every paper Pith has read. Search by title, abstract, or pith.
1209 papers in math.NT · page 6
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Liouville function changes sign in APs by q^{5/2+ε}
Sign changes of the Liouville function in arithmetic progressions
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Tables replace arithmetic in Conway's Doomsday rule
Table-Based Encodings for Conway's Doomsday Algorithm: Vectorized Doomsdays and Doomyears
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Chebyshev derivative series sum to rational functions
Analytic summation of series involving higher-order derivatives of Chebyshev polynomials of the second kind and their applications to convolved linear recurrent sequences
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Chebyshev derivative series sum to rational functions
Analytic summation of series involving higher-order derivatives of Chebyshev polynomials of the second kind and their applications to convolved linear recurrent sequences
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The paper proves that any n-element subset of the integers contains a Sidon subset of…
On the largest Sidon subset in a finite subset of $\mathbb{R}^N$
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Finite groups split by 2-primary extensions satisfy real approximation
Real approximation for homogeneous spaces with finite stabilizers
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The paper identifies simple algebraic groups over number fields determined by finite…
Congruence rigidity of algebraic groups
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Infinitely many powerful APs have d = 2√N + 1
Three-term arithmetic progressions of consecutive powerful numbers
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Higgs-Tate twisting extends p-adic Simpson to arbitrary morphisms
Twisting Higgs Modules and Functorial Aspects of the p-adic Simpson Correspondence
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Conditions yield supercuspidal quotients in GL2 Banach reductions
Reductions of $\mathrm{GL}_2(\mathbb Q_{p^f})$-Banach spaces of slopes in $(0,1)$
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Modular method for Ax^2 + By^r = Cz^p
The generalized Fermat equation $Ax^2 + By^r = Cz^p$ and applications
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Cusp forms map to parabolic cohomology via integral transform
Cusp forms and parabolic cohomology classes for symmetric spaces of rank one
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Uniform expansion in SL2(Z/qZ) confirms Zaremba conjecture
Expansion in $\text{SL}_2(\mathbb Z/q\mathbb Z)$ and Zaremba's conjecture
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Group expansion confirms Zaremba conjecture
Expansion in $\text{SL}_2(\mathbb Z/q\mathbb Z)$ and Zaremba's conjecture
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Every large integer equals a prime plus a non-square-free number
On the Sum of a Prime and a Number that is not Square-Free
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Duality proves fermionic Macdonald index formula for Argyres-Douglas theories
On conjectural fermionic formulas for the Macdonald index in Argyres-Douglas theories
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Multiplicative Sidon sets cover [1,n] with gaps below n to the 0.47 power
Gaps in Multiplicative Sidon Sets
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Cohomology invariant to high-codimension cuts over valuation rings
Flat Cohomological Purity for Syntomic Schemes over Valuation Rings
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Dilogarithms express inverse tangent integrals with Catalan's constant ties
On the generalized inverse tangent integral and Catalan's constant
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Bibasic double sum extends q-binomial theorem
A bibasic double sum extension of a $q$-binomial theorem arising out of subspace enumeration
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Beatty sequences contain cyclic numbers at density 1/alpha
Numbers in a Beatty sequence which are orders only of cyclic, abelian or nilpotent groups
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Averaging formula links Shimura heights to Whittaker derivatives
Archimedean arithmetic Siegel--Weil formula for general weights over Shimura curves
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Bilinear sums with square roots match integer power bounds
A note on bilinear sums with modular square roots
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Simple types determine 3-class tower length 2 or 3 in quadratic fields
3-class field towers with 2 or 3 stages
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Small partial sums force multiplicative functions into log steps
A logarithmic structure theorem for multiplicative functions with small partial sums
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Graph on p-1 vertices captures minus class group of cyclotomic field
Bowen--Franks groups and minus class groups of cyclotomic number fields with prime conductor
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Random sets of integers almost surely obey Bateman-Horn counts
Sets of integers satisfying Bateman-Horn statistics
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Two hyperplanes maximize sum-free subsets in the n^d cube
On the largest sum-free subset of the lattice cube
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q-integral functional on four-punctured line invariant under anti-automorphism
Conjectural duality for iterated $q$-integrals on $\mathbb{P}^{1}$ minus four generic points
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Zilber-Pink statements hold in Y(1)^n under weak Lang-Trotter
A note on Zilber-Pink in $Y(1)^n$
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Lang-Trotter conjecture yields new Zilber-Pink cases in A_3
Lang-Trotter phenomena and unlikely intersections
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Delta isocrystal matches minimal crystalline sub-isocrystal
Delta characters and crystalline cohomology of abelian schemes
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Sum of 1/d(d(n)) up to x ~ x / log log x
On divisor sums due to Erd\H{o}s and Ramanujan
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Zeta(3) approximations come from a one-parameter modular form family
Modular Forms and Numerical Explorations of Rational Approximations to $\zeta(3)$
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Sums-of-squares formula exists over C but not over R
The Hurwitz sum-of-squares problem depends on the base field
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Exponent-one primes block space diagonals in 1.28 million Euler bricks
Exponent-one blockers and a Mordell-Weil construction of Euler bricks
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Conditions make composed polynomials generate monogenic fields
Monogenic Fields from Polynomial Compositions with Applications
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Non-standard analysis extends transcendence criteria via infinite primes
Notes on Algebraic Properties and Non-Standard Analysis of the Ring of Integers Modulo Infinitely Large Primes
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CLT holds for Diophantine approximation with non-Liouville shifts
Effective multi-equidistribution for translates of unipotent flows and Central limit theorems in inhomogeneous Diophantine approximation
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Markov chains weighted by von Mangoldt prove Erdős conjectures
Primitive sets and von Mangoldt chains: Erd\H{o}s Problem #1196 and beyond
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4D revolution bodies with constant tangent sections are balls under Diophantine condition
On convex bodies with constant non-central sections
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Probability a random permutation fixes a k-set decays like k to the -0.086
The proportion of permutations fixing a $k$-set
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Torsion proof rules out perfect cuboids on 1072 fibers
A torsion-intersection proof of perfect-cuboid nonexistence on 1,072 explicit master-tuple fibers
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Frobenius traces force isomorphic Galois reps for Drinfeld modules
Frobenius Traces for Rank-2 Drinfeld Modules, Higher-Dimensional Galois Representations, and a Strong Multiplicity One Theorem in Positive Characteristic
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Wigert higher divisor series gains Chowla-Selberg analogue
A divisor function of Wigert and higher degree forms
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Nullity of A2 decides when A1 X^k + A2 Y^k covers all n x n matrices
Polynomial Maps with Constants on Matrix Algebra
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Sets larger than |F|^{5/6} contain quadratic progressions
An improved non-linear Roth-type theorem in finite fields
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Perfect powers must differ increasingly from products of fixed primes
On the difference between perfect powers and integral $S$-units
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PSL(n,q) and PSU(n,q) realized as Galois groups over Q infinitely often
Simple Lie Groups of type An as Galois groups over Q
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Cyclic covers show big mod p monodromy for any degree
Mod p Monodromy of Cyclic Covers of the Projective Line