Results 31 to 40 of about 229 (136)

Permuting Generalized f‐Triderivations on Lattices

Journal of Mathematics, Volume 2026, Issue 1, 2026.
G. Szász initially proposed the idea of lattice derivation, and it has since been revived in the study of other problems in various branches of mathematics and applied sciences. The intention of the current research is to examine the structure of permuting generalized f‐triderivation linked with permuting f‐triderivation on lattice T,∧,∨ and to provide
Areej Almuhaimeed, Faiza Shujat, Abu Zaid Ansari, Pramita Mishra   +3 more
wiley   +1 more source

Fractional moments of L$L$‐functions and sums of two squares in short intervals

Mathematika, Volume 71, Issue 4, October 2025.
Abstract Let b(n)=1$b(n)=1$ if n$n$ is the sum of two perfect squares, and b(n)=0$b(n)=0$ otherwise. We study the variance of B(x)=∑n⩽xb(n)$B(x)=\sum _{n\leqslant x}b(n)$ in short intervals by relating the variance with the second moment of the generating function f(s)=∑n=1∞b(n)n−s$f(s)=\sum _{n=1}^{\infty } b(n)n^{-s}$ along Re(s)=1/2$\mathrm{Re}(s)=1/
Siegfred Baluyot, Steven M. Gonek
wiley   +1 more source

The Generalized Eta Transformation Formulas as the Hecke Modular Relation

Axioms
The transformation formula under the action of a general linear fractional transformation for a generalized Dedekind eta function has been the subject of intensive study since the works of Rademacher, Dieter, Meyer, and Schoenberg et al.
Nianliang Wang, Takako Kuzumaki, Shigeru Kanemitsu   +2 more
doaj   +1 more source

Some integrals of the Dedekind η-function

Journal of Mathematical Analysis and Applications, 2009
This note presents selected values of definite integrals whose integrand contains a power of the Dedekind function having imaginary argument.
openaire   +2 more sources

On the Product of Zeta-Functions

Mathematics
In this paper, we study the Bochner modular relation (Lambert series) for the kth power of the product of two Riemann zeta-functions with difference α, an integer with the Voronoĭ function weight Vk.
Nianliang Wang, Kalyan Chakraborty, Takako Kuzumaki   +2 more
doaj   +1 more source

The analogue of the Dedekind eta function for CY manifolds I

Journal für die reine und angewandte Mathematik (Crelles Journal), 2006
This is the first of a series of articles in which we are going to study the regularized determinants of the Laplacians of Calabi Yau metrics acting on (0,q) forms on the moduli space of CY manifolds with a fixed polarization. It is well known that in case of the elliptic curves the Kronecker limit formula gives an explicit formula for the regularized ...
Bass, Jamey, Todorov, Andrey
openaire   +2 more sources

Moments of ranks and cranks, and quotients of Eisenstein series and the Dedekind eta function

Journal of Number Theory, 2023
52 ...
Liuquan Wang, Yifan Yang
openaire   +3 more sources

Counting primes with a given primitive root, uniformly

Mathematika, Volume 71, Issue 4, October 2025.
Abstract The celebrated Artin conjecture on primitive roots asserts that given any integer g$g$ that is neither −1$-1$ nor a perfect square, there is an explicit constant A(g)>0$A(g)>0$ such that the number Π(x;g)$\Pi (x;g)$ of primes p⩽x$p\leqslant x$ for which g$g$ is a primitive root is asymptotically A(g)π(x)$A(g)\pi (x)$ as x→∞$x\rightarrow \infty$
Kai (Steve) Fan, Paul Pollack
wiley   +1 more source

Eta Products, BPS States and K3 Surfaces [PDF]

, 2014
Inspired by the multiplicative nature of the Ramanujan modular discriminant, Δ, we consider physical realizations of certain multiplicative products over the Dedekind eta-function in two parallel directions: the generating function of BPS states in ...
Yang-Hui He, He, Y., John McKay, McKay, J.M.   +3 more
core   +1 more source

Parity of ranks of Jacobians of curves

Proceedings of the London Mathematical Society, Volume 131, Issue 3, September 2025.
Abstract We investigate Selmer groups of Jacobians of curves that admit an action of a non‐trivial group of automorphisms, and give applications to the study of the parity of Selmer ranks. Under the Shafarevich–Tate conjecture, we give an expression for the parity of the Mordell–Weil rank of an arbitrary Jacobian in terms of purely local invariants ...
Vladimir Dokchitser, Holly Green, Alexandros Konstantinou, Adam Morgan   +3 more
wiley   +1 more source