Results 11 to 20 of about 766 (64)
Approximation to points in the plane by SL(2,Z)-orbits [PDF]
, 2010 Let x be a point in R^2 with irrational slope and let \Gamma denote the lattice SL(2,Z) acting linearly on R^2. Then, the orbit \Gamma x is dense in R^2.
Laurent, Michel, Nogueira, Arnaldo
core +2 more sources
Transcendental equations satisfied by the individual zeros of Riemann $\zeta$, Dirichlet and modular $L$-functions [PDF]
, 2015 We consider the non-trivial zeros of the Riemann $\zeta$-function and two classes of $L$-functions; Dirichlet $L$-functions and those based on level one modular forms.
França, Guilherme, LeClair, André
core +1 more source
An improvement on Olson's constant for Zp(+)Zp [PDF]
, 2010 A
Bhowmik, Gautami +1 more
core +3 more sources
On the Davenport-Heilbronn theorems and second order terms
, 2012 We give simple proofs of the Davenport--Heilbronn theorems, which provide the main terms in the asymptotics for the number of cubic fields having bounded discriminant and for the number of 3-torsion elements in the class groups of quadratic fields having
Bhargava, Manjul +2 more
core +1 more source
A Diophantine approximation problem with unlike powers of primes
AIMS MathematicsLet $ \lambda_{1} $, $ \lambda_{2} $, $ \lambda_{3} $, and $ \lambda_{4} $ be non-zero real numbers, not all negative. Suppose that $ {{{\lambda }_{1}}}/{{{\lambda }_{3}}}\; $is irrational and algebraic, $ \delta > 0 $, and the set $ \mathcal{V} $ is a ...
Xinyan Li, Wenxu Ge
doaj +1 more source
Tabulation of cubic function fields via polynomial binary cubic forms
, 2010 We present a method for tabulating all cubic function fields over $\mathbb{F}_q(t)$ whose discriminant $D$ has either odd degree or even degree and the leading coefficient of $-3D$ is a non-square in $\mathbb{F}_{q}^*$, up to a given bound $B$ on the ...
Jacobson Jr., Michael +2 more
core +5 more sources
Counting integral points on symmetric varieties with applications to arithmetic statistics
Proceedings of the London Mathematical Society, Volume 130, Issue 4, April 2025.Abstract In this article, we combine Bhargava's geometry‐of‐numbers methods with the dynamical point‐counting methods of Eskin–McMullen and Benoist–Oh to develop a new technique for counting integral points on symmetric varieties lying within fundamental domains for coregular representations.
Arul Shankar +2 more
wiley +1 more source
Exceptional sets for Diophantine inequalities [PDF]
, 2012 We apply Freeman's variant of the Davenport-Heilbronn method to investigate the exceptional set of real numbers not close to some value of a given real diagonal form at an integral argument.
D. Wooley, Scott T. Parsell, Trevor
core +1 more source
Who in the world are the Heruli?1
Early Medieval Europe, Volume 32, Issue 3, Page 284-305, August 2024.The history of the Heruli represents a historical conundrum. Because of the poor state of the sources, caution is required when analysing this subject. However, the peculiarity of the case encourages us to rethink the way we conceive of and describe migrations in Late Antiquity.
Salvatore Liccardo
wiley +1 more source
On $\ell$-torsion in class groups of number fields
, 2017 For each integer $\ell \geq 1$, we prove an unconditional upper bound on the size of the $\ell$-torsion subgroup of the class group, which holds for all but a zero-density set of field extensions of $\mathbb{Q}$ of degree $d$, for any fixed $d \in \{2,3 ...
Ellenberg, Jordan +2 more
core +1 more source