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1209 papers in math.NT · page 16
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Birkhoff measure support length equals function of discrepancy
Birkhoff Measures, Birkhoff Sums, and Discrepancies
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Computer proofs confirm lonely runner conjecture for 9 and 10 runners
Nine and ten lonely runners
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Algebraic α forces θ into lattice (1/P(1))Z for σ_k convergence
On a question of Astorg and Boc Thaler
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Distinct ramification jumps give good bases from group algebra
Bases of associated Galois modules in general wildly ramified extensions and in elementary abelian extensions of degree $p^2$
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Non-generic cohomology result for signature (1,n) Shimura varieties
On the non-generic part of cohomology of compact unitary Shimura varieties of signature $(1,n)$
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Generalized totients unify field zeros and congruence solutions
Some Generalizations of Totient Function with Elementary Symmetric Sums
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Gao constant settled for all metacyclic C_n rtimes C_2 groups
On zero-sum problems over metacyclic groups $C_n \rtimes_s C_2$
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Two derivations extend Schultz theta identity
On Schultz's generalization of Borweins' cubic identity
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Single-valued elliptic polylogarithms constructed via KZB associators
A construction of single-valued elliptic polylogarithms
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77% of D4 Artin L-functions non-vanishing at central point
Non-vanishing of Artin $L$-functions associated with $D_4$-quartic function fields ordered by conductor
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Upper bounds on gaps between L-function zeros
Upper bounds on gaps between zeros of $L$-functions
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Fibonacci-Redheffer matrix gives new Riemann hypothesis expression
The Fibonacci--Redheffer matrix and its properties
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λ_f * 1 distributes to exponent 1/2 + 1/46 for square-free moduli
On the exponent of distribution for convolutions of $\mathrm{GL(2)}$ coefficients to smooth moduli
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Six primes approximate two power sums inside explicit errors
On a system of two Diophantine inequalities with six prime variables
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F_p rational function fields satisfy C_n^1 property
Stability of the Kato-Kuzumaki's properties under field extensions
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Semilinear representations reduce to linear ones on the action kernel
Character Theory for Semilinear Representations
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Higher-level quasi-modular forms detect primes in arithmetic progressions
Prime detecting quasi-modular forms in higher level
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Conditions found for which numbers solve x squared ≡ -1 mod p
Carl St{\o}rmer and his Numbers
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q-multinomials obey d log-concavity in central windows
Hermite-Jensen limits and $d$ log-concavity of $q$-multinomials
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Shidlovskii theorem proves algebraic independence of all η^(n)
Transcendence Results for $\Gamma^{(n)}(1)$ and Related Sequences of Generalized Constants
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Averages of n-periodic points for z^{p^ℓ}+c are 0
Counting the number of $n$-periodic $\mathbb{Z}_{p}$-and $\mathbb{F}_{p}[t]$-points of a discrete dynamical system with applications from arithmetic statistics, VI
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Zero-one law for continued fractions with large prime quotients
Metric properties of continued fractions with large prime partial quotients
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Cubics with neg
Cubic Polynomials and Sums of Two Squares
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Fibonacci starts modulo m mirror a parity version
Modular Periodicity of Random Initialized Recurrences
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Finite torsion for non-CM abelian varieties in solvable extensions
Torsion of Abelian varieties over solvable extensions of number fields
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Residual map finite etale detects strict good reduction
A Dynamical N\'eron--Ogg--Shafarevich Criterion via Orbital Arboreal Representations
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Quotients of perfectoid Tate algebras are semi-immediate extensions
Abhyankar valuations, Pr\"ufer-Manis valuations, and perfectoid Tate algebras
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Separable and non-separable powers of two both have positive lower density
Resolution of two conjectures by Erd\H{o}s and Hall concerning separable numbers
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cψ_{6,0} partitions obey congruences mod powers of 3
Congruences modulo powers of $3$ for generalized Frobenius partitions $C\Psi_{6,0}$
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First-order definability of Campana and Darmon points in function fields
First-order definability of Campana Points and Darmon Points in algebraic function fields in one variable over number fields
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Sheaves on syntomic stacks match Z_p-lattices in crystalline systems
Syntomification and crystalline local systems
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LCM recurrence produces prime increments for density-1 set
Primes in LCM recurrences
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Cyclic Hopf-Galois structures uniform across parallel prime power extensions
Hopf--Galois structures of cyclic type on parallel extensions of prime power degree
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Zeta argument extremes tighten r-gaps between zeros
Explicit extreme values of the argument of the Riemann zeta-function
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Modular method rules out large-p solutions to Aa^p + Bb^p = Cc^3
Non-trivial Solutions of $Aa^p+Bb^p=Cc^3$ over Number Fields
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New partition analogue satisfies congruences modulo 2
Congruences for an analogue of Lin's partition function
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Torsion classified for elliptic curves in p-adic cyclotomic extensions
Torsion of elliptic curves over $\mathbb{Q}_p$ with good reduction in cyclotomic extensions
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Fontaine-Schoof method classifies abelian varieties with reduction only at 19
Semistable abelian varieties over $\mathbb{Q}$ with bad reduction at 19 only: an overview of the Fontaine--Schoof strategy
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Sifting problems made effective with BV error terms
An effective Bombieri-Vinogradov error term for sifting problems
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Class numbers set digit counts in 1/p decimals
On the decimal and octal digits of $1/p$
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k-coloured partitions obey strict log-concavity for k at least 2
Strict Log-concavity of $k$-coloured Partitions
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Asymptotic formula counts integral points over function fields
Counting integral points in homogeneous spaces over function fields
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Minimal and maximal words are normal on suitable subalphabets
A Normality Conjecture on Rational Base Number Systems
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Quaternionic reciprocity law links Heegner points to p-adic L-functions
Quaternionic families of Heegner points and $p$-adic $L$-functions
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Quaternionic families yield big p-adic L-function
On quaternionic ordinary families of modular forms and $p$-adic $L$-functions
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x-coords of elliptic rational points bounded in dense GAPs
Additive Rigidity for $x$-Coordinates of Rational Points on Elliptic Curves
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Random [n]_p gains mono-or-rainbow k-AP guarantee above threshold
A sparse canonical van der Waerden theorem
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Local newform space in SO(2n+1) reps is at most one-dimensional
Local newforms for generic representations of $p$-adic ${\rm SO}_{2n+1}$: Uniqueness
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Low irrationality exponents force complex b-ary digit sequences
On the $b$-ary expansion of a real number whose irrationality exponent is close to 2
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q-binomial sums expand to non-negative polynomials
Further Applications of Cubic $q$-Binomial Transformations