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1209 papers in math.NT · page 22

  1. math.NT 2023-06-06 reviewed
    Formulas for Frobenius number in generalized repunit semigroups

    On the Frobenius Number and Genus of a Collection of Semigroups Generalizing Repunit Numerical Semigroups

    Feihu Liu +3

  2. math.PR 2023-05-26 reviewed
    Second class particles have explicit position laws in blocking ASEP

    Second Class Particle Behaviour in Blocking ASEP

    Daniel Adams +2

  3. math.NT 2023-05-16 reviewed
    Section conjecture follows from Kim's conjecture at almost all primes

    Chabauty--Kim, finite descent, and the Section Conjecture for locally geometric sections

    L. Alexander Betts +2

  4. math.NT 2023-05-13 reviewed
    p-adic distribution interpolates critical L-values for symplectic GL(N) forms

    On $p$-adic $L$-functions for symplectic representations of GL(N) over number fields

    Chris Williams

  5. math.NT 2023-05-10 reviewed
    Prime Hasse principle holds for almost all equations with s at least 3k+2

    Random Diophantine Equations in the Primes

    Philippa Holdridge

  6. math.RT 2023-05-04 reviewed
    Solid locally analytic reps equivalent to distribution algebra modules

    Solid locally analytic representations

    Joaqu\'in Rodrigues Jacinto +1

  7. math.NT 2023-05-04 reviewed
    Walnut prover automates proofs for golden-ratio representations

    Proving Properties of $\varphi$-Representations with the Walnut Theorem-Prover

    Jeffrey Shallit

  8. math.SP 2023-05-03 reviewed
    GRH yields explicit spectral gap for Schottky surface covers

    Explicit spectral gap for Hecke congruence covers of arithmetic Schottky surfaces

    Louis Soares

  9. math.AG 2023-05-01 reviewed
    Polylog motive equals relative cohomology of affine hypersurface complement

    A construction of the polylogarithm motive

    Cl\'ement Dupont +1

  10. math.NT 2023-04-27 reviewed
    Conductor of sym³ transfer computed from modular form data

    Two properties of symmetric cube transfers of modular forms

    Debargha Banerjee +2

  11. math.NT 2023-04-24 reviewed
    Upper bound for even Galois groups in number field counts

    Enumerative Galois theory for number fields

    Sam Chow +1

  12. math.NT 2023-04-20 reviewed
    Recurrence sequence determines p-rationality of cubic fields

    On $ p-$Rationality of Cubic and Quartic Number Fields

    Hang Li +1

  13. math.NT 2023-04-20 reviewed
    Divisor estimates extend to general f on Piatetski-Shapiro sequences

    On general divisor functions over Piatetski-Shapiro sequences

    Wei Zhang

  14. math.CO 2023-04-18 reviewed
    Frobenius number reduces to congruence class for large a

    The Frobenius Formula for $A=(a,ha+d,ha+b_2d,...,ha+b_kd)$

    Feihu Liu +3

  15. math.RT 2023-04-13 reviewed
    Isomorphism equates multiplicative local systems on L^+T to inertial parameters

    Character Sheaves on Tori over Local Fields

    Tanmay Deshpande +1

  16. math.NT 2023-04-08 reviewed
    Galois representation detects locally imprimitive elliptic points

    Locally imprimitive points on elliptic curves

    Nathan Jones +2

  17. math.GT 2023-03-28 reviewed
    Torsion divisors on twisted Whitehead links have multiplicity two

    Multiplicity of non-acyclic ${\rm SL}_2$-representations and L-functions of the odd-twisted Whitehead links

    L\'eo B\'enard +3

  18. math.NT 2023-03-15 reviewed
    Pre-Kuznetsov formula gives density for Borel subgroups of GL_n

    A density theorem for Borel-Type Congruence subgroups and arithmetic applications

    Edgar Assing

  19. math.CO 2023-03-13 reviewed
    Transforming Frobenius problem to optimization produces formulas

    A Combinatorial Approach to Frobenius Numbers of Some Special Sequences (Complete Version)

    Feihu Liu +1

  20. math.AG 2023-02-25 reviewed
    Twisted Satake equivalence extends Langlands to group covers

    Spectral decomposition of genuine cusp forms over global function fields

    Yifei Zhao

  21. math.NT 2023-02-21 reviewed
    Generic fiber functor equates log p-divisible groups to semistable groups

    Log $p$-divisible groups and semi-stable representations

    Alessandra Bertapelle +2

  22. math.NT 2023-01-19 reviewed
    Torsion in quartic Jacobians found by matching modular bounds

    Computing torsion for plane quartics without using height bounds

    Raymond van Bommel

  23. math.DS 2023-01-11 reviewed
    Groupoids from ring actions recover the ring up to isomorphism

    Algebraic actions II. Groupoid rigidity

    Chris Bruce +1

  24. quant-ph 2022-12-25 reviewed
    Unified formalism links Shor's algorithm to proton motion in water

    A Synthesis of Hidden Subgroup Quantum Algorithms and Quantum Chemical Dynamics

    Srinivasan S. Iyengar +3

  25. math.NT 2022-12-21 reviewed
    Ten largest plateaux of spectra dimension function exceed 0.005

    On the graph of the dimension function of the Lagrange and Markov spectra

    Carlos Matheus +2

  26. math.NT 2022-12-20 reviewed
    Polynomials satisfy Bateman-Horn on average with probability 1

    Bateman-Horn, polynomial Chowla and the Hasse principle with probability 1

    Tim Browning +2

  27. math.NT 2022-12-07 reviewed
    Framework establishes density of primes for abelian variety quotients under GRH

    Artin's Conjecture for Abelian Varieties with Frobenius Condition

    Florian Hess +1

  28. math.NT 2022-11-21 reviewed
    Elliptic curves over F_q(t) with conductor degree 4 are 2-modular

    Higher modularity of elliptic curves over function fields

    Adam Logan +1

  29. math.NT 2022-11-08 reviewed
    Refined Humbert invariant classified for CM Jacobian case

    The classification of the refined Humbert invariant for curves of genus 2

    Harun Kir

  30. math.AG 2022-10-25 reviewed
    F-gauges yield syntomic classes and prismatic duality

    Syntomic cycle classes and prismatic Poincar\'e duality

    Longke Tang

  31. math.NT 2022-10-11 reviewed
    Drinfeld logarithms continue analytically

    On Furusho's analytic continuation of Drinfeld logarithms

    Yen-Tsung Chen

  32. math.RT 2022-10-05 reviewed
    Langlands conjecture holds for disconnected groups with toral core

    On the local Langlands conjectures for disconnected groups

    Tasho Kaletha

  33. math.CO 2022-10-05 reviewed
    Tighter bounds for q-modular differencing Sperner systems

    Sperner systems with restricted differences

    Zixiang Xu +1

  34. math.NT 2022-10-05 reviewed
    Ordinary Galois reps yield vanishing Ext groups

    Ordinary local representations and $\Ext$ groups

    Debargha Banerjee +1

  35. math.NT 2022-08-30 reviewed
    Sen operator on all Shimura varieties reduced to flag bundles

    Locally analytic completed cohomology

    J. E. Rodr\'iguez Camargo

  36. math.NT 2022-08-27 reviewed
    Explicit operator disproves zeta zeros real-part measure conjecture

    Pseudodifferential arithmetic, Riemann and Lindel\"of hypotheses

    Andr\'e Unterberger

  37. math.NT 2022-08-23 reviewed
    Barnes double zeta obeys functional equation yielding t-bounds

    Functional equation, upper bounds and analogue of Lindel\"of hypothesis for the Barnes double zeta function

    Takashi Miyagawa

  38. math.NT 2022-08-05 reviewed
    Optimal large sieve bound for self-dual Eisenstein series

    The large sieve for self-dual Eisenstein series of varying levels

    Matthew P Young

  39. math.NT 2022-07-27 reviewed
    Second eigenvalue pins down level-one Siegel eigenforms

    On distinguishing Siegel cusp forms of degree two

    Zhining Wei +1

  40. math.NT 2022-07-06 reviewed
    GRH implies almost all Frobenius traces exceed p to a positive power

    Bounds for the distribution of the Frobenius traces associated to a generic abelian variety

    Alina Carmen Cojocaru +1

  41. math.NT 2022-06-28 reviewed
    Analogue of Serre derivation extends to higher-rank Drinfeld forms

    On the partial derivatives of Drinfeld modular forms of arbitrary rank

    Yen-Tsung Chen +1

  42. math.NT 2022-05-23 reviewed
    Locally induced Galois reps with exceptional residuals have finite image up to twist

    Locally induced Galois representations with exceptional residual images

    Chengyang Bao

  43. math.NT 2022-05-16 reviewed
    Improved spectral large sieve for symmetric-squares

    On the spectral large sieve inequality for symmetric-squares

    Matthew P Young

  44. math.HO 2022-04-28 reviewed
    Formal power series prove binomial theorem and partition congruences

    An invitation to formal power series

    Benjamin Sambale

  45. math.NT 2022-04-14 reviewed
    Level raising theorem proven for Sp(4) at ramified primes

    Arithmetic level raising for certain quaternionic unitary Shimura variety

    Haining Wang

  46. math.NT 2022-04-04 reviewed
    Epsilon dichotomy holds for tempered L-parameters over R

    The local Gross-Prasad conjecture over $\mathbb{R}$: Epsilon dichotomy

    Cheng Chen +1

  47. math.NT 2022-03-31 reviewed
    q-series lift double shuffle solutions to multiple zeta values

    Combinatorial multiple Eisenstein series

    Henrik Bachmann +1

  48. math.AG 2022-03-19 reviewed
    Finiteness holds for hyper-Kähler varieties without polarization bound

    Unpolarized Shafarevich conjectures for hyper-K\"ahler varieties

    Lie Fu +3

  49. math.NT 2022-03-16 reviewed
    Dedekind zeta zeros bounded by T to power depending on σ and k

    On density of the zeros of Dedekind zeta-functions

    Wei Zhang

  50. math.AT 2022-03-03 reviewed
    Cohomology of congruence subgroups stabilizes to Calegari formula

    Stable cohomology of congruence subgroups

    Oscar Randal-Williams