Results 31 to 40 of about 1,505 (62)
Adelic Rogers integral formula
Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.Abstract We formulate and prove the extension of the Rogers integral formula (Rogers [Acta Math. 94 (1955), 249–287]) to the adeles of number fields. We also prove the second moment formulas for a few important cases, enabling a number of classical and recent applications of the formula to extend immediately to any number field.
Seungki Kim
wiley +1 more source
Boundedness in families with applications to arithmetic hyperbolicity
Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.Abstract Motivated by conjectures of Demailly, Green–Griffiths, Lang and Vojta, we show that several notions related to hyperbolicity behave similarly in families. We apply our results to show the persistence of arithmetic hyperbolicity along field extensions for projective normal surfaces with non‐zero irregularity.
Raymond van Bommel +2 more
wiley +1 more source
Some New Identities Related to Dedekind Sums Modulo a Prime
Journal of Mathematics, Volume 2024, Issue 1, 2024.The main purpose of this article is to use some identities of the classical Gauss sums, the properties of character sums, and Dedekind sums (modulo an odd prime) to study the computational problem of one‐kind mean values related to Dedekind sums and give some interesting identities for them.
Jiayuan Hu, Xiaogang Liu
wiley +1 more source
Bias in the number of steps in the Euclidean algorithm and a conjecture of Ito on Dedekind sums. [PDF]
Math Ann, 2023 Minelli P, Sourmelidis A, Technau M.
europepmc +1 more source
On the infinite Borwein product raised to a positive real power. [PDF]
Ramanujan J, 2023 Schlosser MJ, Zhou NH.
europepmc +1 more source
From partitions to Hodge numbers of Hilbert schemes of surfaces. [PDF]
Philos Trans A Math Phys Eng Sci, 2020 Gillman N +4 more
europepmc +1 more source
Dedekind's eta-function and the cohomology of infinite dimensional Lie algebras. [PDF]
Proc Natl Acad Sci U S A, 1975 Garland H.
europepmc +1 more source
On a hybrid mean value of certain Hardy sums and Ramanujan sum [PDF]
, 2003 Zhang, Wenpeng
core +2 more sources