archive
Every paper Pith has read. Search by title, abstract, or pith.
1209 papers in math.NT · page 8
-
Li-Wan formula simplifies subset sums uniform distribution proof
A note on The asymptotic uniform distribution of subset sums
-
f(n) exceeds any multiple of log n infinitely often
Unbounded logarithmic limsup in Erd\H{o}s problem 684
-
Power saving bounds for Legendre symbol sums in short intervals
Large sieve inequality for sums of Legendre symbols over short intervals
-
Probabilistic assumptions prove Mertens growth |M(x)| / √x
Picking up the partial sums of the M\"{o}bius function problem with probabilistic number theory
-
Group theory detects rational points on virtual curves of any genus
The Absolute Anabelian Geometry of Virtual Curves of Arbitrary Genus
-
Congruent n of form p1..pt q force h(-n) divisible by 2 to a power
$2$-Selmer groups, $2$-class groups, and congruent numbers
-
8D sphere packing proof formally verified in Lean
Progress in Formalizing Sphere Packing in Dimension 8
-
Congruent numbers 8k+3 force 2-power class number congruence
A necessary condition for a congruent number of the form $8k+3$
-
Möbius function evades standard learning algorithms
On (not) learning the M\"obius function
-
Criterion for upper-triangular matrices as A squared minus B squared
Differences of squares of upper-triangular $2\times 2$ integer matrices
-
Upper-triangular 2x2 matrices are differences of squares under entry rules
Differences of squares of upper-triangular $2\times 2$ integer matrices
-
Hybrid conjecture holds for universal abelian scheme over A_g
Hybrid Conjecture in a Mixed Shimura variety
-
Core abaci equate weight height to Weyl group length
Core abaci and Diophantine equations I: fundamental weight
-
Core abaci equate weight heights to Weyl group lengths
Core abaci and Diophantine equations I: fundamental weight
-
Harmonic numbers equal binomial sum for any nonzero m
A Proof of Bala's General-$m$ Representation of the Harmonic Numbers
-
Gram matrix ranks yield hull dimensions of linearized codes
On the hull of linearized polynomial codes
-
Kronecker congruence extends to all modular functions integral over Z[j]
On the integrality of modular functions over $\mathbb{Z}[j]$ and Kronecker-type congruences
-
Kronecker congruences extend to integral modular functions over Z[j]
On the integrality of modular functions over $\mathbb{Z}[j]$ and Kronecker-type congruences
-
Visibility density conjecture holds for many polynomial powers
Lattice point visibility along powers of polynomials
-
Determinants define a non-linear geometry for multiple zeta values
Non-linear geometry of multiple zeta values
-
Analytic torsion asymptotics extended to more reductive groups
Asymptotic behaviour of analytic torsion and cohomological torsion for $\mathbb{Q}$-rank $1$ arithmetic groups
-
Khintchine theorem holds without monotonicity under polynomial decay
Khintchine's theorem for inhomogeneous simultaneous approximation with polynomial decay
-
Method constructs seven WZ seeds to certify hypergeometric sums
A construction method for WZ seeds
-
Strict diagonal dominance makes cyclically monotone matrices regular
Matrices with cyclically monotone rows and Cantor numeration systems
-
Improved moment bound for symmetric square L-functions
Higher moments of the symmetric square $L$-function off the critical line
-
New degree-five modular equation obtained from level-ten theta identities
On a new modular equation of degree five and Eisenstein series identities of associated levels
-
Two notions of exceptional pole coincide for GL(n,R) L-functions
Exceptional poles of archimedean Rankin-Selberg L-functions for principal series representations of GL(n,R)
-
Bound on exceptions for mixed prime power sums
The exceptional set for Diophantine inequality with mixed powers of primes
-
Link transfers explicit error bound from rough to smooth counts
A link between error terms when counting smooth and rough numbers
-
The paper defines an SL_n(Z)-invariant tropical zeta function for convex domains that…
Residues of a tropical zeta function for convex domains
-
Nilpotent-supported functions equal their Fourier transforms up to a Gauss sum
Lusztig constants and endoscopy
-
Non-Liouville weights make Galois cohomology finite over convergent ring
Galois representations over convergent de Rham period ring
-
Convergent de Rham period ring yields finite Galois cohomology
Galois representations over convergent de Rham period ring
-
Galois image decides positivity of elliptic curve factor densities
The Smallest Invariant Factor of Elliptic Curves, and Coincidences
-
Finite fields with primitive density ≤1/3 have consecutive non-square non-primitives
Consecutive non-square non-primitive pairs in a finite field
-
Spherical cap discrepancy complexity drops with dimension
Spherical Cap $L_2$ Discrepancy -- Blessing of Dimensionality and a Balanced Large-Cap Variant
-
Asymptotic formula found for moment of Siegel L-functions
Moments and joint nonvanishing of symplectic $L$-functions
-
The paper connects two different generalizations of classical Hurwitz class numbers
Relations between higher level Hurwitz class numbers
-
Many large-GCD tuples force sets to shrink in k dimensions
Extremal Problems for GCDs and LCMs in Higher Dimensions
-
Semigroups with max generator 2g+1 satisfy Wilf conjecture
Numerical Semigroups with $a_e = 2g+1$
-
Transfinite diameter bounds prove zeta(2) irrational
Mellin transforms, transfinite diameter and rational approximations of integrals
-
Polylog polynomial contains depth-3 Kim set on rank-2 curves
p-adic elliptic polylogarithms and cubic Chabauty
-
Two intervals summing to N avoid paired sums of two coprime squares
On sums of two squares and a basis of order $2$
-
p-adic constant δ_g non-zero for real-coefficient newforms
Non-vanishing of the $p$-adic constant for mock modular forms associated to a newform with real Fourier coefficients
-
Hyperbolic divisor sum T(x) error bound improved to O(x^{17/30+ε})
On the Hyperbolic Fractional Sum of the Divisor Function
-
E-functions exist that match any Siegel value at 1 with no singularity there
On the singularities of differential equations satisfied by $E$-functions
-
I(1)-invariants described explicitly for GL_2 universal modules
On the $I(1)$-invariants: Non-abelian Hecke algebra case
-
Root number computed for Fermat quotient curves under partial divisibility
Root numbers for twisted Fermat quotient curves II
-
Continued fraction sets in Laurent series achieve dimension 1/(2α)
Fractal transference principle for continued fractions of Laurent series
-
Generic Artin-Schreier curves hit minimal a-number bound
Minimal $a$-numbers of Artin--Schreier covers of ordinary curves