[1] About the strong EULER-GOLDBACH conjecture

[2] LLL and stochastic sandpile models

[3] Levy-Khintchin Theorem for best simultaneous Diophantine approximations

[4] The Petersson/Kuznetsov trace formula with prescribed local ramifications

[5] Sup-norms of eigenfunctions in the level aspect for compact arithmetic surfaces, II: newforms and subconvexity

[6] New test vector for Waldspurger's period integral, relative trace formula, and hybrid subconvexity bounds

[7] Waldspurger's period integral for newforms

[8] An explicit Gross-Zagier formula related to the Sylvester Conjecture

[9] Sup norm on PGL_n in depth aspect

[10] Mass equidistribution on the torus in the depth aspect

[11] Some analytic aspects of automorphic forms on GL(2) of minimal type

[12] Triple product formula and mass equidistribution on modular curves of level N

[13] Cuspidal part of an Eisenstein series restricted to an index 2 subfield

[14] On the focus order of planar polynomial differential equations

[15] Meromorphic quasi-modular forms and their L-functions

[16] L-packets of quasisplit GSp(2n) and GO(2n)

[17] A combinatorial solution to Mœglin's parametrization of Arthur packets for p-adic quasisplit Sp(N) and O(N)

[18] Arthur packets for p-adic groups by way of microlocal vanishing cycles of perverse sheaves, with examples

[19] Disjointness of M\"{o}bius from asymptotically periodic functions

[20] M\"{o}bius disjointness for a class of exponential functions

[21] Completed prismatic F-crystals and crystalline Zp-local systems

[22] A prismatic approach to (φ,Ĝ )-modules and F-crystals

[23] Ainf has uncountable Krull dimension

[24] Heegner points on modular curves

[25] Gauss-manin connection in disguise: genus two curves

[26] Analogues of Iwasawa’s μ=0 conjecture and the weak Leopoldt conjecture for a non-cyclotomic Z_2 -extension

[27] Non-vanishing theorems for central L-values of some elliptic curves with complex multiplication

[28] A Classical Family of Elliptic Curves having Rank One and the 2-Primary Part of their Tate-Shafarevich Group Non-Trivial

[29] Quadratic twists of χ_0(14)

[30] Classical Iwasawa theory and infinite descent on a family of abelian varieties

[31] Generating functions of planar polygons from homological mirror symmetry of elliptic curves

[32] Weil representation and arithmetic fundamental lemma

[33] Bessel F-isocrystals for reductive groups

[34] Isolation of cuspidal spectrum, with application to the Gan-Gross-Prasad conjecture

[35] The Seiberg-Witten equations and the length spectrum of hyperbolic three-manifolds

[36] On the structure of some p-adic period domains

[37] On the existence of curves with prescribed a-number

[38] Torsion points, Pell’s equation, and integration in elementary terms

[39] A transcendental dynamical degree

[40] On minima of sum of theta functions and application to Mueller-Ho Conjecture

[41] Equidistribution of expanding translates of curves and Diophantine approximation on matrices

[42] Doubling Constructions and Tensor Product L-Functions: the linear case

[43] Representations of mock theta functions

[44] Zeros of the deformed exponential function

[45] On a conjecture of Furusho over function fields

[46] On the distribution of multivariate Jacobi sums

[47] Twisted orbital integrals and irreducible components of affine Deligne-Lusztig varieties

[48] Heights in families of abelian varieties and the Geometric Bogomolov Conjecture

[49] When Kloosterman sums meet Hecke eigenvalues

[50] Arthur parameters and cuspidal automorphic modules of classical groups

[51] Uniformity in Mordell-Lang for curves

[52] A conjecture based on Somos-4 sequence and its extension

[53] G^-local systems on smooth projective curves are potentially automorphic

[54] The geometric Bogomolov conjecture

[55] On the residue method for period integrals

[56] A G_2-period of a Fourier coefficient of an Eisenstein series on E_6

[57] Multiplicity one theorem for the Ginzburg-Rallis model: The tempered case

[58] A local trace formula for the generalized Shalika model

[59] The Drinfeld symmetric space and local Langlands correspondence II

[60] The Drinfeld symmetric space and local Langlands correspondence I

[61] Taylor coefficients of t-motivic multiple zeta values and explicit formulae

[62] On Kronecker terms over global function fields

[63] A relative Szemerédi theorem

[64] Genus periods, genus points and congruent number problem

[65] The arithmetic Hodge index theorem for adelic line bundles

[66] Towards a Dynamical Manin–Mumford Conjecture

[67] Arithmetic of Shimura curves

[68] Gross-Schoen cycles and Dualising sheaves

[69] The Gross-Kohnen-Zagier Theorem over Totally Real Fields

[70] Generic abelian varieties with real multiplication are not Jacobians

[71] Distributions in Algebraic Dynamics

[72] Periods and distribution of cycles on Hilbert modular varieties

[73] Equidistribution of CM-Points on Quaternion Shimura Varieties

[74] Gross-Zagier formula for GL(2) II

[75] Elliptic curves, L-functions, and CM-points

[76] Gross-Zagier formula for GL2

[77] Geometry of algebraic points

[78] Heights of Heegner points on Shimura curves

[79] Distribution of almost division points.

[80] The holomorphic kernel of the Rankin-Selberg convolution

[81] Small points and Arakelov theory

[82] On the averaged Colmez conjecture

[83] Equidistribution of small points on abelian varieties

[84] Heights of Heegner cycles and derivatives of L-series

[85] Equir´epartition des petits points

[86] Heights and reductions of semi-stable varieties

[87] Small points and adelic metrics

[88] Positive line bundles on arithmetic varieties

[89] Geometric reductivity at Archimedean places

[90] Admissible pairing on a curve

[91] Positive line bundles on arithmetic surfaces

[92] On the distribution of Jacobi sums

[93] Sharp upper estimate of geometric genus and coordinate-free characterization of isolated homogeneous hypersurface singularities

[94] On a number-theoretic conjecture on positive integral points in a 5-dimensional tetrahedron and a sharp estimate of the Dickman–de Bruijn function

[95] Arthur parameters and Fourier coefficients for automorphic forms on symplectic groups

[96] On cuspidality of global Arthur packets for symplectic groups

[97] A remark on a converse theorem of Cogdell and Piatetski-Shapiro

[98] On the Local Converse Theorem for p-adic GLn

[99] The Jacquet–Langlands Correspondence via Twisted Descent

[100] A product of tensor product L-functions of quasi-split classical groups of Hermitian type

[101] Hasse-Witt matrices, unit roots and period integrals

[102] Multiplicities of cohomological automorphic forms on $\mathrm{GL}_2$ and mod $p$ representations of $\mathrm{GL}_2(\mathbb{Q}_p)$

[103] On the sharp polynomial upper estimate conjecture in eight-dimensional simplex

[104] Critical points of the classical Eisenstein series of weight two

[105] Bounded gaps between primes

[106] Heights of Kudla–Rapoport divisors and derivatives of L-functions

[107] Congruent Numbers and Heegner Points

[108] A strong multiplicity one theorem for SL(2)

[109] A weak kernel formula for Bessel functions

[110] Companions on Artin stacks

[111] Log-algebraic identities on Drinfeld modules and special L-values

[112] Triple product formula and the subconvexity bound of triple product l-function in level aspect

[113] Shtukas and the Taylor expansion of L-functions

[114] On the arithmetic transfer conjecture for exotic smooth formal moduli spaces

[115] Automorphic period and the central value of Rankin-Selberg L-function

[116] Fourier transform and the global Gan-Gross-Prasad conjecture for unitary groups

[117] On arithmetic fundamental lemmas

[118] The Birch and Swinnerton-Dyer Conjecture For Q-Curves and Oda's Period Relations

[119] Almost Totally Complex Points on Elliptic Curves

[120] Iwasawa Main Conjecture for Non-ordinary Modular Forms

[121] The Breuil-Mézard conjecture for non-scalar split residual representations

[122] An application of a theorem of Emerton to mod p representations of GL_2

[123] Multiplicity one for the mod $p$ cohomology of Shimura curves: the tame case

[124] Iwasawa Main Conjecture for Rankin-Selberg p-adic L-functions

[125] The Birch and Swinnerton-Dyer Formula for Elliptic Curves of Analytic Rank One

[126] IWASAWA Main Conjecture for Supersingular Elliptic curves

[127] On some generalized Rapoport-Zink spaces

[128] P-adic families of automorphic forms over some unitary Shimura varieties

[129] Parity and symmetry in intersection and ordinary cohomology

[130] Noether's problem for cyclic groups of prime order

[131] Characterization of a class of planar self-affine tile digit sets

[132] Riemann’s zeta-function and the divisor problem. III

[133] An asymptotic formula for the primitive of Hardy’s function

[134] The big de Rham–Witt complex

[135] On Vinogradov’s mean value theorem: strongly diagonal behaviour via efficient congruencing

[136] Square-free values of$f$($p$),$f$cubic

[137] $p$-adic logarithmic forms and a problem of Erdős

[138] On divisors of Lucas and Lehmer numbers

[139] Erratum to “The primes contain arbitrarily long polynomial progressions”

[140] Random matrices: Universality of local eigenvalue statistics

[141] Weight Distributions of a Class of Cyclic Codes with Arbitrary Number of Nonzeros in Quadratic Case

[142] A sharp estimate of positive integral points in 6-dimensional polyhedra and a sharp estimate of smooth numbers

[143] On the polynomial sharp upper estimate conjecture in 7-dimensional simplex

[144] A sharp polynomial estimate of positive integral points in a 4-dimensional tetrahedron and a sharp estimate of the Dickman-de Bruijn function

[145] Hankel Determinants, Pade Approximations, and Irrationality Exponents

[146] Linear relations among double zeta values in positive characteristic

[147] Algebraic independence of periods and logarithms of Drinfeld modules. With an appendix by Brian Conrad.

[148] An effective criterion for Eulerian multizeta values in positive characteristic

[149] Linear independence of monomials of multizeta values in positive characteristic

[150] Theta series and function field analogue of Gross formula

[151] Kronecker limit formula over global function fields

[152] On the Siegel-Weil formula over function fields

[153] Brandt matrices and theta series over global function fields

[154] On Rankin triple product L-functions over function fields: central critical values

[155] On metaplectic forms over function fields

[156] On finite Carlitz multiple polylogarithms

[157] A Local-Global Equality on Every Affine Variety Admitting Points in An Arbitrary Rank-One Subgroup of a Global Function Field

[158] Waldspurger formula over function fields

[159] On derivatives of Siegel-Eisenstein series over global function fields

[160] A subspace theorem for subvarieties

[161] On multiple polylogarithms in characteristic $p$: $v$-adic vanishing versus $\infty$-adic Eulerian

[162] Average values of higher moments of quadratic l-functions over rational function fields

[163] On central critical values of rankin-type l-functions over global function fields

[164] Baker-Schmidt theorem for Hausdorff dimensions in finite characteristic

[165] On Shuffle of Double Eisenstein series in positive characteristic

[166] Anderson-Thakur polynomials and multizeta values in positive characteristic.

[167] On the density of abelian l-extensions

[168] Modularity of open Gromov-Witten potentials of elliptic orbifolds

[169] Genus Zero Modular Functions

[170] Invertible lattices