Campana points on diagonal hypersurfaces
F Balestrieri, J Brandes, M Kaesberg, J Ortmann… - Women in Numbers …, 2024 - Springer
We construct an integral model for counting Campana points of bounded height on diagonal
hypersurfaces of degree greater than one and give an asymptotic formula for their number …
hypersurfaces of degree greater than one and give an asymptotic formula for their number …
Hyperbola method on toric varieties
M Pieropan, D Schindler - arXiv preprint arXiv:2001.09815, 2020 - arxiv.org
We develop a very general version of the hyperbola method which extends the known
method by Blomer and Br\" udern for products of projective spaces to a very large class of …
method by Blomer and Br\" udern for products of projective spaces to a very large class of …
Surfaces defined by pairs of polynomials
D Gvirtz-Chen, A Skorobogatov - arXiv preprint arXiv:2305.08632, 2023 - arxiv.org
We prove that the Brauer group of the generic diagonal surface of arbitrary degree is trivial.
The same method is applied to surfaces whose equation can be written as the sum of two …
The same method is applied to surfaces whose equation can be written as the sum of two …
Local solubility of generalised Fermat equations
For every $ n\geq 2$ we determine the asymptotic formula for the number of integer triples
$(a, b, c) $ of bounded absolute value such that the generalised Fermat equation given by …
$(a, b, c) $ of bounded absolute value such that the generalised Fermat equation given by …
Elliptic fibrations and
arXiv:2409.02080v1 [math.NT] 3 Sep 2024 Page 1 arXiv:2409.02080v1 [math.NT] 3 Sep 2024
ELLIPTIC FIBRATIONS AND 3 2k P. KOYMANS, C. PAGANO, AND E. SOFOS Abstract. We …
ELLIPTIC FIBRATIONS AND 3 2k P. KOYMANS, C. PAGANO, AND E. SOFOS Abstract. We …
Elliptic fibrations and 3⋅ 2k
arXiv:2409.02080v1 [math.NT] 3 Sep 2024 Page 1 arXiv:2409.02080v1 [math.NT] 3 Sep 2024
ELLIPTIC FIBRATIONS AND 3 2k P. KOYMANS, C. PAGANO, AND E. SOFOS Abstract. We …
ELLIPTIC FIBRATIONS AND 3 2k P. KOYMANS, C. PAGANO, AND E. SOFOS Abstract. We …
Diagonal del Pezzo of degree 2 with a Brauer-Manin obstruction
HC Shaw - arXiv preprint arXiv:2405.10693, 2024 - arxiv.org
arXiv:2405.10693v1 [math.AG] 17 May 2024 Page 1 arXiv:2405.10693v1 [math.AG] 17 May
2024 DIAGONAL DEL PEZZO SURFACES OF DEGREE 2 WITH A BRAUER-MANIN …
2024 DIAGONAL DEL PEZZO SURFACES OF DEGREE 2 WITH A BRAUER-MANIN …
Elliptic curves and spin
P Koymans, PV Uttenthal - arXiv preprint arXiv:2407.15644, 2024 - arxiv.org
In the early 2000s, Ramakrishna asked the question: For the elliptic curve $$ E: y^ 2= x^ 3-x,
$$ what is the density of primes $ p $ for which the Fourier coefficient $ a_p (E) $ is a cube …
$$ what is the density of primes $ p $ for which the Fourier coefficient $ a_p (E) $ is a cube …
Abelian number fields with frobenian conditions
J Tavernier - arXiv preprint arXiv:2407.14341, 2024 - arxiv.org
We study the distribution of abelian number fields with frobenian conditions imposed on the
conductor. In particular we find an asymptotic for the number of abelian field extensions of a …
conductor. In particular we find an asymptotic for the number of abelian field extensions of a …
[PDF][PDF] WIN6: Women in Number Theory 6 (23w5175)
S Akhtari, A Bucur, J Park, R Scheidler - 2023 - stats.birs.ca
The Women in Numbers (WIN) network was created in 2008 for the purpose of increasing
the number of active women researchers in number theory. For this purpose, WIN sponsors …
the number of active women researchers in number theory. For this purpose, WIN sponsors …