$\ell$-adic properties of smallest parts functions

$\mathcal{D}$-elliptic sheaves and odd Jacobians

$_3F_2$ hypergeometric series and periods of elliptic curves

$ε$-Constants and Orthogonal Representations

$ζ$-phenomenology

$Λ$-adic Kolyvagin systems

$Λ$-adic modular symbols and several variable $p$-adic L-functions over totally real fields

(k+1)-sums versus k-sums

(Non)Automaticity of number theoretic functions

1- and 2-Level Densities for Rational Families of Elliptic Curves: Evidence for the Underlying Group Symmetries

1-Saturating Sets, Caps and Round Sets in Binary Spaces

1-t-motifs

10 conjectures in additive number theory

2-adic valuations of certain ratios of products of factorials and applications

2-extensions with many points

2-Selmer Groups and the Birch-Swinnerton-Dyer Conjecture for the Congruent Number Curve

2-universal Hermitian lattices over imaginary quadratic fields

A $p$-adic analogue of the Borel regulator and the Bloch-Kato exponential map

A $q$-analog of the Bailey-Borwein-Bradley identity

A 'large number' theory with constant G