Tootfinder

Mordell--Tornheim zeta function: Kronecker limit type formulas and Special values
Sumukha Sathyanarayana, N. Guru Sharan
https://arxiv.org/abs/2510.10093 https://

Mordell--Tornheim zeta function: Kronecker limit type formulas and Special values
In this paper, we establish Kronecker limit type formulas for the generalized Mordell--Tornheim zeta function $Θ(r,s,t,x)$ as a function of the third variable, in terms of Riemann-zeta and Gamma values. We also give series evaluations of $Θ(r,s,t,x)$ in terms of Herglotz-Zagier type functions, and their derivatives. As applications of this, we derive Kronecker limit type formula in the second variable and a new infinite family of modular relations called mixed functional equations. We also st…

Work Function Mapping Across a-In2Se3 to {\alpha}-In2Se3 to {\gamma}-InSe in RF-Sputtered Thin Films
Marius O. Eji, Md. Sakauat Hasan Sakib, Joseph P. Corbett
https://arxiv.org/abs/2510.08767

Work Function Mapping Across a-In2Se3 to α-In2Se3 to γ-InSe in RF-Sputtered Thin Films
Indium selenide is a phase-change chalcogenide whose polymorphism enables a variety of physical properties to be tuned. Here we directly quantify the evolution of the surface work function across the amorphous-to-crystalline transition in RF-sputtered In2Se3 thin films grown on c-plane Al2O3 (001). By varying deposition temperature (100-500 °C) and film thickness, we establish processing windows for a- In2Se3, α-In2Se3, and γ-InSe, and correlate structure with electronic and morphological pr…

The Gamma-ray Luminosity Function of Flat-Spectrum Radio Quasars
Garima Rajguru, Lea Marcotulli, Marco Ajello, Mattia Di Mauro, Meg Urry
https://arxiv.org/abs/2510.05515 https:/…

The Gamma-ray Luminosity Function of Flat-Spectrum Radio Quasars
We have utilized the largest sample of $γ$-ray selected Fermi flat-spectrum radio quasars (FSRQs) ever used (519 sources) to construct the luminosity function and its evolution through the cosmic history. In addition to spanning large redshift ($0

An $L$-function Approach to Two-Dimensional Conformal Field Theory
Eric Perlmutter
https://arxiv.org/abs/2509.21672 https://arxiv.org/pdf/2509.21672…

An $L$-function Approach to Two-Dimensional Conformal Field Theory
We introduce a framework for two-dimensional conformal field theory (CFT) in the language of analytic number theory. Attached to the torus partition function of every two-dimensional CFT is a self-dual, degree-4 $L$-function of root number $\varepsilon=1$, with a universal gamma factor determined by $SL(2,\mathbb{Z})$ and local conformal invariance. Due to the richness of CFT operator spectra, these are not, in general, standard $L$-functions. We explicate their analytic structure, exploring th…

P-adic Gamma classes and overconvergent Frobenius structures for quantum connections
Shaoyun Bai, Daniel Pomerleano, Paul Seidel
https://arxiv.org/abs/2509.26295 https://…

P-adic Gamma classes and overconvergent Frobenius structures for quantum connections
Consider the small quantum connection on a monotone symplectic manifold, with p-adic coefficients. We conjecture that this always admits an overconvergent Frobenius structure, whose constant term is given by a characteristic class associated to Morita's p-adic Gamma function. We prove this conjecture for toric Fano varieties and Grassmannians, and also supply additional experimental evidence.

Bialgebraic varieties of the Gamma function
Sebastian Eterovi\'c, Adele Padgett, Roy Zhao
https://arxiv.org/abs/2509.24982 https://arxiv.org/pdf/2509.2…

Bialgebraic varieties of the Gamma function
We characterize the bialgebraic varieties of the $Γ$ function, that is, if $V,W\subseteq\mathbb{C}^n$ are irreducible affine algebraic variety which satisfy $\dim V =\dim W$ and $Γ(V)\subseteq W$, then the equations defining $V$ (and hence also $W$) either give an equality between coordinates, or set some coordinates to be constant.

Gamma-Convergence of Convex Functions, Conjugates, and Subdifferentials
Rafael Correa, Pedro P\'erez-Aros, Jos\'e Pablo Santander
https://arxiv.org/abs/2509.21863 https:…

Gamma-Convergence of Convex Functions, Conjugates, and Subdifferentials
This work establishes dual and subdifferential characterizations of Unicode (Γ)-convergence for sequences of proper convex lower semicontinuous functions in weakly compactly generated Banach spaces. It is shown that such a sequence Unicode (Γ)-converges in the strong topology to a limit function if and only if the sequence of conjugates Unicode (Γ)-converges in the $w^*$-topology to the Fenchel conjugate. It is further proved that both conditions are equivalent to the graphical convergence o…

Refining the deep sub-barrier 12C 12C excitation function with STELLA
J. Nippert, S. Courtin, M. Heine, D. G. Jenkins, P. Adsley, A. Bonhomme, R. Canavan, D. Curien, T. Dumont, E. Gregor, G. Harmant, E. Monpribat, L. Morrison, M. Moukaddam, M. Richer, M. Rudigier, J. G. Vega Romero, W. N. Catford, P. Cotte, S. Della Negra, G. Haefner, F. Hammache, J. Lesrel, S. Pascu, Zs. Podoly\'ak, P. H. Regan, I. Ribaud, N. de S\'er\'eville, C. Stodel, J. Vesi\'c

Refining the deep sub-barrier 12C+12C excitation function with STELLA
Purpose: We have investigated the cross section around the lowest direct coincident gamma-particle measurements, where previously only limits could be established with the aim of obtaining a detailed description of the excitation function. We have furthermore analysed the ratio of extreme decay branching into the first excited state of daughter nuclei with alpha or proton emission at relative kinetic energies where previous measurements are in disagreement with each other. Conclusions: Our find…

More solutions to the decoration transformation
Erdal Catak, Mustafa Mullahasanoglu
https://arxiv.org/abs/2509.11842 https://arxiv.org/pdf/2509.11842

More solutions to the decoration transformation
In this work, we investigate new solutions to the decoration transformation in terms of various special functions, including the hyperbolic gamma function, the basic hypergeometric function, and the Euler gamma function. These solutions to the symmetry transformation are important to decorate Ising-like integrable lattice spin models obtained via the gauge/YBE correspondence. The integral identities represented as the solution of the decoration transformation are derived from the three-dimensio…

The Gamma Expansion of the Level Two Large Deviation Rate Functional for Reversible Diffusion Processes
Claudio Landim, Jungkyoung Lee, Mauro Mariani
https://arxiv.org/abs/2509.13222

The Gamma Expansion of the Level Two Large Deviation Rate Functional for Reversible Diffusion Processes
Fix a smooth Morse function $U\colon \mathbb{R}^{d}\to\mathbb{R}$ with finitely many critical points, and consider the solution of the stochastic differential equation \begin{equation*} d\bm{x}_ε(t)=-\nabla U(\bm{x}_ε(t))\,dt \,+\,\sqrt{2ε}\, d\bm{w}_{t}\,, \end{equation*} where $(\bm{w}_{t})_{t\ge0}$ represents a $d$-dimensional Brownian motion, and $ε>0$ a small parameter. Denote by $\mathcal{P}(\mathbb{R}^{d})$ the space of probability measures on $\bb R^d$, and by $\mathcal{I}_ε \colon…

Tight bounds on Poisson tails with applications to Sz\'asz-Mirakyan operators
Jos\'e A. Adell, Daniel C\'ardenas-Morales
https://arxiv.org/abs/2509.19935 https://

Tight bounds on Poisson tails with applications to Szász-Mirakyan operators
We obtain tight bounds on Poisson tails which are easy to handle. A short proof based on the median of the gamma distribution is given. Numerical comparisons with other known estimates are made. As an application, we consider the rates of pointwise convergence for $S_nf(x)-f(x)$, as $n\rightarrow \infty$, where $S_n$ is the Szász-Mirakyan operator and $x$ belongs to an open interval $I$. If the function $f$ is affine on $I$, the rate of convergence is exponential. This property is no longer tr…

Crosslisted article(s) found for math.PR. https://arxiv.org/list/math.PR/new
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- Bandwidth of Gamma-Distribution-Shaped Functions via Lambert W Function
Anthony LoPrete, Johannes Burge