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Every paper Pith has read. Search by title, abstract, or pith.
432 papers in math.NT · page 1
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Torsion quadratic forms split into 2D sums over specific real fields
Fields where torsion forms decompose
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Hecke operators mimic simple ramification in complex cases
Graphs of Hecke operators in mixed ramification
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Character sums reach √p log log p over intervals
Large values of shifted mixed character sums
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The paper adapts Tao's slice rank method to prove exponential upper bounds on sets in…
A note on arithmetic progressions with restricted differences
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Graph vertex count sets ℓ^p bounds for distance forms
$\ell^{p}$ improving estimates for multilinear forms motivated by distance graphs
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Rational simplices allow any positive rational squared edge length above codim 2
Squared edge lengths of regular simplices with rational vertices
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Weil group fails to make number fields K(π,1) spaces
Weil-Moore anima
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Canonical quadratic points on genus-4 curves are big on key families
Bigness of Canonical Quadratic Points on Curves of Genus 4
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Degree gap forces dynamical Mordell-Lang for curves
Local height arguments toward the dynamical Mordell-Lang conjecture
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Structural conditions give explicit permutation quadrinomials over F_{q^2}
Explicit determination of a class of permutation rational functions in any characteristic
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Normalized necklace counts rise strictly for real x over 1
Analytic Properties of Necklace Polynomials
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2D progressions avoiding squares capped at T to the 20/27
Two dimensional arithmetic progressions avoiding squares
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K2 element proven 2-indivisible for elliptic curves
The 2-part of the Bloch-Kato conjecture, and indivisibility results, for $K_2$ of some elliptic curves
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R^n bases force |B| at least n plus triangular number
A solution to a strengthened conjecture of Bukh, van Hintum and Keevash on additive bases
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Congruential Euler numbers satisfy p-adic congruences and yield zeta expressions
$p$-adic Congruencens of Generalized Euler Numbers and Relations to Even Zeta Value
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Reciprocal sum over subsum polynomials has arithmetic properties
Reciprocals of Subsum Polynomials
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Random lattices approximate Poisson points with exp-small error
Poisson approximation of random lattices
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Proven: two-color partition function equals Hecke double sum
Proof of a conjecture of Andrews and Bachraoui on a Hecke sum
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Explicit Galois descent reduces max-height t-values to MZVs
An explicit Galois descent for multiple $t$-values of maximal height
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Serre derivative keeps zeros on modular form lower boundary
The Serre Derivatives and Zeros of Modular Forms
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Orbital integrals converge on unitary groups in positive characteristic
Convergence of orbital integrals on unitary groups in positive characteristic
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Syntomic cohomology congruences match Breuil-Kisin modules at double precision
Congruences of first syntomic cohomology groups
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Homological sieve tackles Manin's conjecture
Homological sieve and Manin's conjecture
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Upper bound for smallest simultaneous Ramanujan prime in Maass forms
On Ramanujan Primes for Hecke-Maass Cusp Forms
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Binary expansion of weight fixes exact 2-adic valuation of Eisenstein coefficients
Lacunary recurrences and 2-adic properties of Eisenstein series
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Miller form zeros track unit arc or log Szegő curve by δ
The variation of zeros of the Miller basis
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r_k(n) summation formula now covers Whittaker functions
An analogue of a formula of Popov II
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Deterministic algorithm finds high-order element or factors N
Deterministically finding an element of large order in $\mathbb{Z}_N^*$
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Cusp form eigenvalue convolution reaches distribution exponent 1/2 + 1/70
On the exponent of distribution for convolutions of $\operatorname{GL}(2)$ coefficients to smooth moduli
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Sum of short-interval zeros for L-functions mod P exceeds T² P sqrt(log P)
Low-Lying Zeros on the Critical Line for Families of Dirichlet $L$-Functions
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GRH ensures nonvanishing Taylor coefficients for large quadratic twists
On the coefficients of the Taylor expansion of $L$-functions of elliptic curves
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Improved bound limits rational points on smooth surfaces in P^3
Rational points on smooth surfaces in $\mathbb{P}^3$ over finite fields
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λ₂ vanishes for certain real quadratic fields where 2 splits
On the Iwasawa $\lambda$-invariant of the cyclotomic $\mathbb{Z}_2$-extension of a family of real quadratic fields in which $2$ splits
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Merkurjev construction yields non-R-trivial similitudes in degree 6
Non-$R$-trivial proper projective similitudes in type $A_3\equiv D_3$
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Refined obstructions control Hasse principle for 0-cycles on Kummer varieties
Refined obstructions to local-global principles for 0-cycles
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New integrals express Catalan's constant in one or more dimensions
Multiple integral representations of the Catalan's constant
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Resonance method extends Omega results for Dirichlet L-functions
Some Omega results for Dirichlet $L$-functions
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Algorithm factors rational-power semiprimes in cubic log time
Rational Base Descent: A Deterministic Algorithm for Factoring Structured Semiprimes
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Greedy and lazy maps each have unique ACIM equivalent to Lebesgue on I_Q
Invariant measure for double base expansions
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Binary tree martingale makes Cusick conjecture a special case
The martingale evolution of probability measures defined via the sum-of-digits functions
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Densities of k-th prime divisors not unimodal for k at least 4
A Complete Answer to Erd\H{o}s Problem 690
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Elementary methods recover Ramanujan notebook identities
Learning from Ramanujan: Elementary Approaches to Profound Ideas
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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 $1$