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1209 papers in math.NT · page 11
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Bounds and algorithm for Chevalley-Bass numbers in char-zero fields
On the Chevalley-Bass number of a field
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Almost free non-Archimedean Banach spaces are free under large cardinals
Almost Free Non-Archimedean Banach Spaces and Relation to Large Cardinals
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Brauer-Manin sets match for Weil restrictions when fundamental group is trivial
Remarks on Brauer-Manin obstruction for Weil restrictions
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Sesquilinear form realizes small theta lifts over p-adics
A note on small theta lift
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Exact solution counts for Fibonacci-coefficient equations
The Number of Solutions to $ax+by+cz=n$ for Fibonacci and Lucas triplets
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Order of low moments for random sums twisted by modular forms is found
Low moments of random multiplicative functions twisted by Fourier coefficients of modular forms
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Lean 4 verifies the five solutions to x^2 + 7 = 2^n
A formal proof of the Ramanujan--Nagell theorem in Lean 4
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20-torsion curves over two quadratics have bad reduction at 3
Modular curves and bad reduction
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Galois groups determine 3-manifolds up to homeomorphism
A Neukirch-Uchida Theorem for 3-Manifolds
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Bound on quadratic exponential sums for primitive Gaussian integers
Bounding the exponential sum on squares of some sifted sequences
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Perfect Euler brick equals two quartics both squares for coprime a b m n
Quartic reductions and elliptic obstructions for perfect Euler bricks
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Locally analytic Shimura varieties reconstructed from perfectoid data
Differential operators on locally analytic Shimura varieties
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Recurrence sequences have finitely many palindromic repdigit concatenations
Linear recurrence sequences and palindromic concatenations of two repdigits in base $\beta$
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Lambert series identities settle two conjectures
Identities and transformations for Lambert series and double Lambert series
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Algebraic functions map L-numbers to U_m-numbers
Values of algebraic functions at Liouville numbers
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Algebraic functions turn Liouville numbers into U_m-numbers
Values of algebraic functions at Liouville numbers
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Dynamical Galois lifting has no solution for additive polynomials
A Dynamical Lifting Problem For Additive Polynomials
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Algorithm classifies primes in elliptic curve torsion fields
Dedekind zeta functions of non-Galois torsion fields of elliptic curves
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Unipotent orbits equidistribute with polynomial rates in SL(2,R) spaces
Effective equidistribution of unipotent orbits in homogeneous spaces of $\SL(2,\R)\ltimes(\R^2)^{k}$
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Infinitely many rational triples yield seven squares
Seven squares from three numbers
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Finite-field extensions have subfields matching divisors of the degree
Galois theory for finite fields
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Mahler Mq-function values obey Liouville bounds at algebraic points
A Liouville-Type Inequality for Values of Mahler M-Functions
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ABC conjecture limits solutions to double factorial equation
A comment on the equation $n!!=a_1!!\cdots a_t!!$
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Wittenberg conjecture holds for linear torsors via Cao formula
A Simpler Approach to a Descent Conjecture of Wittenberg
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Andrews conjectures 5 and 6 on v1(q) proved
Proofs for Andrews' Conjectures 5 and 6 on $v_1(q)$
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Finiteness theorems limit universal polygonal sums to almost primes
Universal sums of generalized polygonal numbers of almost prime length
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L-modules decompose into weighted cohomology blocks via mapping cones
L-modules are mixed
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Order-3 pi recurrences lift from order-2 Apéry kernels
Order-3 pi-formulas, Apery-like kernels, and Clausen functoriality for Conservative Matrix Fields
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Banal primes let representations of classical groups lift to char zero
Lifting banal representations of classical groups
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Newform coefficient sums have large prime factors for most primes
On Lower Bounds for sums of Fourier Coefficients of Twist-Inequivalent Newforms
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Bernoulli numbers organize high-energy string amplitude series
Resurgence of high-energy string amplitudes
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p-adic proof shows partial toric L-functions are rational
$p$-adic Theory for Partial Toric Exponential Sums
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Parametric family yields infinitely many semi-stable discriminant twins
On a conjecture of Deines
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One cyclotomic complex computes all negative Tate twist cohomology
On the cohomology of negative Tate twists via cyclotomic descent
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Growth rates decide when h(Ω(n)) is uniform mod 1
Weighted averages of arithmetic functions and applications to equidistribution and ergodic theory
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Explicit bounds sandwich the nth lucky number
Explicit inequalities for the nth lucky number
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100% of random conic bundles satisfy the Hasse principle
Random conic bundle surfaces satisfy the Hasse principle
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Nilpotent Lie algebra fails real descent despite conjugate isomorphism
A note on complex Lie Algebras isomorphic to their conjugate
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Inert primes give explicit intersections on non-split Cartan curves
Arithmetic intersections on non-split Cartan modular curves
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Closed formulas derived for eight indices on divisor prime graphs
Topological Indices of Divisor Prime Graphs
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Log means of sign-changing multiplicative functions stay above -c/(log x)^{1-2/π}
A Hal\'{a}sz-type asymptotic formula for logarithmic means and its consequences
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Boundary cohomology of Sp6(Z) computed for trivial coefficients
Boundary Cohomology of Sp6(Z): Trivial Representation
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Reduced unitary Whitehead group vanishes over p-adic curve fields
Reduced Unitary Whitehead Groups over Function Fields of p-adic Curves
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AI model supplies short proofs for five Erdős questions
Short proofs in combinatorics, probability and number theory II
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Wiles defects of maximal minor rings reduce to (m-1) minors
Congruence modules and Wiles defects of determinantal rings of maximal minors
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Apertures define integral models for Shimura varieties at hyperspecial level
On canonicity for integral models of Shimura varieties with hyperspecial level
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Analytically generated o-minimal structures yield effective Yomdin-Gromov lemma
Analytically generated sharply o-minimal structures
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Theta cycle of low-weight forms mod p² mapped on first p steps
Theta Cycles of Modular Forms Modulo $p^2$
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Integrals asymptotics expressed via Nielsen polylogarithms
Asymptotic expansions of integrals and Nielsen's polylogarithms
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Iwasawa theory yields Diophantine stability over Z_p^2-extensions
On Iwasawa theory of abelian varieties over $\mathbb{Z}_p^2$-extension with applications to Diophantine stability and integally Diophantine extensions