Results 31 to 40 of about 58 (55)
A discrete mean value of the Riemann zeta function
Mathematika, Volume 70, Issue 4, October 2024.Abstract In this work, we estimate the sum ∑0<ℑ(ρ)⩽Tζ(ρ+α)X(ρ)Y(1−ρ)$$\begin{align*} \sum _{0 < \Im (\rho) \leqslant T} \zeta (\rho +\alpha)X(\rho) Y(1\!-\! \rho) \end{align*}$$over the nontrivial zeros ρ$\rho$ of the Riemann zeta function where α$\alpha$ is a complex number with α≪1/logT$\alpha \ll 1/\log T$ and X(·)$X(\cdot)$ and Y(·)$Y(\cdot)$ are ...
Kübra Benli, Ertan Elma, Nathan Ng
wiley +1 more source
Proceedings of the London Mathematical Society, Volume 129, Issue 4, October 2024.Abstract We define a class of associative algebras generalizing ‘clannish algebras’, as introduced by the second author, but also incorporating semilinear structure, like a skew polynomial ring. Clannish algebras generalize the well‐known ‘string algebras’ introduced by Butler and Ringel.
Raphael Bennett‐Tennenhaus +1 more
wiley +1 more source
A functorial approach to monomorphism categories II: Indecomposables
Proceedings of the London Mathematical Society, Volume 129, Issue 4, October 2024.Abstract We investigate the (separated) monomorphism category mono(Q,Λ)$\operatorname{mono}(Q,\Lambda)$ of a quiver over an Artin algebra Λ$\Lambda$. We show that there exists an epivalence (called representation equivalence in the terminology of Auslander) from mono¯(Q,Λ)$\overline{\operatorname{mono}}(Q,\Lambda)$ to rep(Q,mod¯Λ)$\operatorname{rep}(Q,\
Nan Gao +3 more
wiley +1 more source
Analogues of Dedekind Sums [PDF]
73 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997.In 1877, R. Dedekind introduced the sum$$s(d, c) = \sum\sbsp{j=1}{c}\left(\left({j\over c}\right)\right)\left(\left({dj\over c}\right)\right),$$which appears in the multiplier system ...
Meyer, Jeffrey Lyle
core
Octonionic Magical Supergravity, Niemeier Lattices, and Exceptional & Hilbert Modular Forms
Fortschritte der Physik, Volume 72, Issue 2, February 2024.Abstract The quantum degeneracies of Bogomolny‐Prasad‐Sommerfield (BPS) black holes of octonionic magical supergravity in five dimensions are studied. Quantum degeneracy is defined purely number theoretically as the number of distinct states in charge space with a given set of invariant labels.
Murat Günaydin, Abhiram Kidambi
wiley +1 more source
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
Half-integral weight Kloosterman sums and integer partitions [PDF]
Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2026-05-01The student, Qihang Sun, accepted the attached license on 2024-04-22 at 20:45.The student, Qihang Sun, submitted this Dissertation for approval ...
Sun, Qihang
core
Some of the next articles are maybe not open access.
The kernel of newform Dedekind sums
Journal of Number Theory, 2021Juan Ramirez, Evuilynn Nguyen
exaly
Generalized Dedekind sums and equidistribution mod 1
Journal of Number Theory, 2017Claire Burrin
exaly