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1209 papers in math.NT · page 21
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Half-totative power sums equal odd Jordan totient inverses
Faulhaber's formula, Bernoulli numbers, power sums of natural numbers and totatives and the functional equation $f(x)+x^k=f(x+1)$
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Finitely many prime-isogenous discriminant twins over Q
Prime isogenous discriminant ideal twins
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Reciprocity laws for diagonal classes cover supercuspidal cases at p
Explicit reciprocity laws for diagonal classes: higher level cases
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p-divisible groups classified over more rings
Deformations of Prismatic Higher $(G,\mu)$-Displays over Quasi-Syntomic Rings
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Arithmetic sequences with level 1 distribution give Poisson-Dirichlet prime factors
Large prime factors of well-distributed sequences
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Criterion shows parahoric shtuka moduli spaces are representable
Relative representability and parahoric level structures
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F-characteristic cycle intersection yields Swan conductor
F-characteristic cycle of a rank one sheaf on an arithmetic surface
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Spectral method yields asymptotics for higher-rank orbit counts
Lax-Phillips orbit counting in higher rank
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Bernstein-Sato polynomials over Z/p^m have rational roots
Bernstein-Sato theory modulo $p^m$
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Plancherel densities match predictions for generalised Whittaker models
Generalised Whittaker models as instances of relative Langlands duality II: Plancherel density and global periods
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Golden-ratio base obeys Midy theorem iff prime divides Fibonacci number
Midy's Theorem in non-integer bases and divisibility of Fibonacci numbers
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Joint distribution of matrix approximates converges to explicit limit
Counting and Joint equidistribution of approximates
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Log prismatic cohomology represented in logarithmic motives
Logarithmic prismatic cohomology, motivic sheaves, and comparison theorems
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Odd moments of coprime residues bounded near-optimally
Odd moments and adding fractions
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Dirichlet L-value second moment gains q^{1/2} secondary term on thin cosets
Asymptotic second moment of Dirichlet $L$-functions along a thin coset
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Explicit families of Ramanujan bigraphs built for many primes
Ramanujan Bigraphs
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Closed formulas derived for Frobenius numbers of quotient semigroups
On quotients of numerical semigroups for almost arithmetic progressions
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Epsilon factor changes under twisting follow local Weil-Deligne rules
On the change of epsilon factors for symmetric square transfers under twisting and applications
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Infinitely many dual Piatetski-Shapiro primes keep αp² close to -β mod 1
On the distribution of $\alpha p^2$ modulo one in the intersection of two Piatetski--Shapiro sets
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Quasi-polynomial formula rules out rational curves on degree-8 surfaces
Local Euler characteristics of $A_n$-singularities and their application to hyperbolicity
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Axioms turn automata into generators of self-similar topologies
Elementary fractal geometry. 4. Automata-generated topological spaces
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Even-dimensional manifolds can share homotopy type but not simple homotopy type
Simple homotopy types of even dimensional manifolds
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Known inequalities for the summatory function of the sum of digits follow from a…
Summing the sum of digits
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Galois group of linearized polynomials is GL_n(q) for all q
A note on Galois groups of linearized polynomials
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Lifting produces iso-dual AG codes over field extensions
Lifting iso-dual algebraic geometry codes
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Refined multiplicity one theorems proven for paramodular forms
Some remarks on strong multiplicity one for paramodular forms
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Arithmetic functions induce orders on integers by divisibility
Orders and partitions of integers induced by arithmetic functions
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Kähler differentials give short proof of deep ramification criteria
Almost Mathematics, K\"ahler differentials and deeply ramified fields
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p-converse to Gross-Zagier-Kolyvagin holds at supersingular primes
Anticyclotomic Iwasawa theory of abelian varieties of $\mathrm{GL}_2$-type at non-ordinary primes II
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Local-global principle holds for most prime Diophantine equations
Random Diophantine Equations in the Primes II
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Base change conductor adds up in short exact sequences
Chai's conjectures on base change conductors
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Nonzero squares avoid restricted sumset form for q>13
Restricted sumsets in multiplicative subgroups
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Shifted subgroups bound product sets by group size
Multiplicative structure of shifted multiplicative subgroups and its applications to Diophantine tuples
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Asymptotic formula for second moment of Rankin-Selberg L-values
Moments of $L$-functions via a relative trace formula
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Dense transverse sets contain bilinear varieties of bounded codimension
A note on transverse sets and bilinear varieties
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P-adic convergence holds for dual approximation on hypersurfaces
Dual $p$-adic Diophantine approximation on manifolds
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Supersingular isogeny graphs meet the Ramanujan bound
Spectral Theory of Isogeny Graphs
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Mersenne and Fermat primes control unit orders in join rings
On the arithmetic of the join rings over finite fields
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Transcendence of p-adic periods characterizes CM admissible pairs
Admissible pairs and $p$-adic Hodge structures I: Transcendence of the de Rham lattice
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Zariski-dense generators yield expander Cayley graphs mod q
Super approximation for $\text{SL}_2\times \text{SL}_2$ and $\text{ASL}_2$
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v-adic polylog relations reduce to base-field ones at degree-one places
A $v$-adic variant of Anderson-Brownawell-Papanikolas linear independence criterion and its application
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Additive characters inject into p-torsion Picard group of Drinfeld cover
Line Bundles on The First Drinfeld Covering
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m-smooth polynomials keep uniform distribution after fixing coefficients
Smooth polynomials with several prescribed coefficients
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p-adic L-values give explicit Frobenius matrix on hypergeometric equations
Frobenius structure on hypergeometric equations, p-adic polygamma values and p-adic L-values
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Primes exist in every interval of length x^λ for λ>0
Real exponential sums over primes and prime gaps
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Meromorphic bundles match Fargues-Scholze charts on Newton strata
Meromorphic vector bundles on the Fargues--Fontaine curve
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k=1 colored partition conjectures match Andrews-Gordon variants
Companions to the Andrews-Gordon and Andrews-Bressoud Identities and Recent Conjectures of Capparelli, Meurman, Primc, and Primc
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Brauer-Manin obstruction coincides with torsor obstructions on stacks
The Brauer-Manin obstruction on algebraic stacks
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Counterexamples disprove lonely runner spectrum conjecture for four speeds
Amending the Lonely Runner Spectrum Conjecture
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Bijection links group morphisms to adelic points surviving etale descent
Etale descent obstruction and anabelian geometry of curves over finite fields