Journal of Number Theory

Journal: Journal of Number Theory

Abbreviation

J. Number Theory

Publisher

Elsevier

ISSN

0022-314X
1096-1658

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Publications1 - 10 of 33

Successive minima and slopes of hermitian vector bundles over number fields
Borek, Thomas (2005)
Journal of Number Theory
The Galois representations associated to a Drinfeld module in special characteristic
Pink, Richard; Traulsen, Matthias (2006)
Journal of Number Theory
Arakelov theory of noncommutative arithmetic curves
Borek, Thomas (2011)
Journal of Number Theory
The Katok-Sarnak formula for higher weights
Imamoğlu, Özlem; Lägeler, Alessandro; Tóth, Árpád (2022)
Journal of Number Theory
We prove a Katok-Sarnak type formula for Maass forms of even weight k and odd level N >= 1 that includes and extends the results of Waldspurger, Kohnen-Zagier, Katok-Sarnak, Baruch-Mao, and Biró.
Decomposable forms and automorphisms
Summerer, Leonhard (2003)
Journal of Number Theory
Injectivity of the genus 1 KudlaMillson lift on locally symmetric spaces
Metzler, Ingmar; Zuffetti, Riccardo (2026)
Journal of Number Theory
Let L be an even indefinite lattice. We show that if L splits off a hyperbolic plane and a scaled hyperbolic plane, then the KudlaMillson lift of genus 1 associated to L is injective. Our result includes as special cases all previously known injectivity results on the whole space of elliptic cusp forms available in the literature. In particular, we also consider the FunkeMillson twist of the lift. Further, we provide geometric applications on locally symmetric spaces of orthogonal type.
Adelic openness for Drinfeld modules in generic characteristic
Pink, Richard; Ruetsche, Egon (2009)
Journal of Number Theory
The isogeny conjecture for t-motives associated to direct sums of Drinfeld modules
Pink, Richard; Traulsen, Matthias (2006)
Journal of Number Theory
Primitive rational points on expanding horospheres in Hilbert modular surfaces
Luethi, Manuel (2021)
Journal of Number Theory
In recent work by Einsiedler, Mozes, Shah and Shapira the limiting distributions of primitive rational points on expanding horospheres was examined in arbitrary dimension, and a suspended version of this result was announced. Motivated by this, we prove an analog to the announcement for primitive rational points in Hilbert modular surfaces via effective mixing.
Arithmetic statistics of families of integer Sn-polynomials and application to class group torsion
Viglino, Ilaria (2025)
Journal of Number Theory
We study the distributions of the splitting primes in certain families of number fields. The first and main example is the family Pn,N of polynomials f∈Z[X] monic of degree n with height less or equal then N, and then let N go to infinity. We prove an average version of the Chebotarev Density Theorem for this family. In particular, this gives a Central Limit Theorem for the number of primes with given splitting type in some ranges. As an application, we deduce some estimates for the ℓ-torsion in the class groups and for the average of ramified primes.

Publications1 - 10 of 33

Journal: Journal of Number Theory

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