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Every paper Pith has read. Search by title, abstract, or pith.
1719 papers in math.NT · page 1
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Gauss-sum matrix over cyclic units reduces via periods
The Gauss periods and cyclotomic matrices involving Gauss sums over cyclic groups
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Factorisation formula extends to Atkin-Lehner quotients of genus zero
Beyond the Giampietro--Darmon Conjecture
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Cyclic codes have full-weight words exactly when h_q(n) is zero
Cyclic Codes and Cyclically Covering Subspaces over Finite Fields
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Black hole microstates follow random matrix statistics
Black Holes and Random Variables
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Trianguline variety smooth over regularity loci for reductive groups
The trianguline variety for reductive groups
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Bombieri-Lang conjecture holds for varieties with maps to abelian varieties
Recent progress on the geometric Bombieri--Lang conjecture
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Algorithms compute Schottky groups uniformizing hyperelliptic Mumford curves
Algorithms for hyperelliptic Mumford Curves $p$-adic Uniformization, $p$-adic integrals and $p$-adic heights
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Finite abelian groups classified by when A(G) minimally represents Davenport constant
The universal zero-sum invariant and weighted zero-sum for infinite abelian groups II
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Spectral resultants give leading p-adic growth for Grover dets on towers
Iwasawa-Type Spectral Resultant Growth Laws for Grover Walks on Graph Towers
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n-genuine polynomials bound Galois group changes under specialization
Genuine and strongly genuine polynomials: With an application to the persistence of Galois groups under specialization
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Eichler-Selberg formula for Hilbert forms uses quartic CM class numbers
The Eichler--Selberg trace formula for Hilbert cusp forms, the class numbers of quartic CM fields, and their distributions
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Explicit asymptotic for weighted σ(n) sum proves integral convergence
On a Smoothed Walfisz Divisor Problem
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Gross-Zagier formula proven for CM points on E_{p^i}
Gross-Zagier formula for the $4, 7$ cases of Sylvester's conjecture
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Collatz rows k=2 mod 4 with k>=6 have no primes in main skeleton
A Coordinate System for Collatz Dynamics
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GRH implies every generator of these ray class groups is Euclidean
On Euclidean systems of ray classes
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D_a(0) vanishes exactly when p ≡ 3 mod 4 and χ(a n!)=1
A Pfaffian Proof and Generalization of a Conjecture of Sun Zhiwei
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Lean verifies Rogers-Ramanujan identities
Formalized $q$-series: The Rogers-Ramanujan Identities and Beyond
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GL_n(Q) map equates cone complex to K-theory Gersten complex
A note on polyhedral cones and toric polylogarithms
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Conditions on q make certain irreducible quadratics primitive
Necessary and sufficient conditions on the order of a finite field $\mathbb{F}_q$ for the easy identification of primitive polynomials of degree 2
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Smoothing tightens zeta bound to half log t plus 1.57
Utilizing Smoothing Techniques to Bound $|\zeta(1+it)|$
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Coefficients of Ramanujan q-series mostly alternate in sign
On a conjecture of Andrews and almost alternating sign patterns
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Matching lower bounds for short character sum moments
Lower bounds for low moments of character sums, I: Short sums with general multiplicative weights
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Sheared Witt vectors provide decompletion of p-typical Witt vectors
Sheared Witt Vectors
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Polynomial Diophantine tuples capped at size 6 for k >= 18
An absolute bound for generalized Diophantine tuples over polynomial rings
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ERH bounds elliptic curve rank gains in p-cyclic extensions
Distribution of Selmer ranks in prime cyclic extensions
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Pro-2 Demushkin groups have A3-formal cochain algebras
$A_3$-formality for pro-2 Demushkin groups
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Scaled symmetric difference reaches size at least n for large n
On the Extended 1-2-3 Conjecture of Pilz
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Crystalline Galois reps take explicit mod p form at fractional slopes
Reductions Of Crystalline Representations Of Fractional Slope $<p-1$
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Minimal non-zero sum of n fifth roots of unity computed exactly
The Minimal Absolute Value of Sums of Fifth Roots of Unity
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Minimal non-zero sums of fifth roots drop at Fibonacci and Lucas n
The Minimal Absolute Value of Sums of Fifth Roots of Unity
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Lecacheux quintics have Pólya groups of arbitrary 5-rank
Rank of P\'olya Groups in Lecacheux Parametric Family of Quintic Fields
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Coupling Eisenstein series yields depth-two mock modular forms
Depth Two Mock Modularity by Eisenstein Series Coupling
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Average character sum over smooth numbers is o(sqrt count)
Character sums over smooth numbers
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Functional equations force coefficients to be primitive Dirichlet characters
Functional Equations Characterize Dirichlet Characters
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At least 1/9 of zeros lie on critical line for twisted PGL L-functions
Critical Zeros and Unconditional Mean Value Theorems for twisted $\hbox{PGL}(2)$ and $\hbox{PGL}(3)$ $\mathrm{L}$-functions
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Néron model groups split as finite semidirect product over base
Finiteness for \'{E}tale Fundamental Groups of N\'{e}ron Models
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Central isogenies generalize Steinberg on centralizer components
Central isogenies and conjugacy classes in reductive groups
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Basic EKOR strata decompose into Deligne-Lusztig varieties
EKOR and BT stratifications for basic unramified $\mathrm{GU}(1,n-1)$ Rapoport-Zink spaces
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Orbit finiteness decides whether an extension is Galois
Galois Extensions via Finiteness of Orbits
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q-series equal characters for A^{(2)}_odd modules
A generalization of partition identities of G\"ollnitz-Gordon, Rogers-Ramanujan and Nandi
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Andrews-Gordon series generalize Rogers-Ramanujan to A2 odd modules
A generalization of partition identities of G\"ollnitz-Gordon, Rogers-Ramanujan and Nandi
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Hyperelliptic families y²=x^d+αx+t are generically ordinary for large p
Construction of Generically Ordinary Families of Hyperelliptic Curves
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Triangular partition gives O(sqrt x) incremental prime count estimator
An Efficient Algorithm for Estimating Prime Counts
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Local-global compatibility holds for torsion classes at p ≠ ℓ
Local-global compatibility at $p\neq\ell$ for torsion automorphic forms
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Algorithm finds supersingular curves with twisting endomorphisms
Supersingular elliptic curves and twisting endomorphisms
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Local factors decide when Selmer group averages are unbounded
Tamagawa ratios and unbounded Selmer moments
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Infinitely many G-extensions keep rank-zero abelian varieties finite
Diophantine rank stability and non-vanishing of $L$-functions
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Mock theta coefficients obey sign law by n mod 3
Sign Laws and Mock Theta Functions
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Orthogonal in cohomology translates Kaplansky radical to groups
A cohomological translation of the Kaplansky radical for profinite groups
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Exactly seven real quadratic fields meet Hammarhjelm condition
The classification of real quadratic fields which satisfy Hammarhjelm's condition