Results 81 to 90 of about 545,098 (196)
Archimedean cohomology revisited [PDF]
, 2004 Archimedean cohomology provides a cohomological interpretation for the calculation of the local L-factors at archimedean places as zeta regularized determinant of a log of Frobenius.
Consani, Caterina, Marcolli, Matilde
core +2 more sources
A Program For Geometric Arithmetic [PDF]
arXiv, 2001 Proposed is a program for what we call Geometric Arithmetic, based on our works on non-abelian zeta functions and non-abelian class field theory. Key words are stability and adelic intersection-cohomology theory.
arxiv
Advanced NanoBiomed Research, Volume 5, Issue 5, May 2025.The present study employs small RNA sequencing to identify the types and content of microRNAs (miRNAs) in four widely utilized plant‐derived extracellular vesicles (pEVs). The functional annotation reveals that the pEV miRNAs are involved in regulating the progression of human cancer and viral infection, thereby demonstrating the crosskingdom ...
Fei Wang +7 more
wiley +1 more source
Joint Wire Cutting with Non‐Maximally Entangled States
Advanced Quantum Technologies, Volume 8, Issue 5, May 2025.Wire cutting decomposes large quantum circuits into smaller subcircuits by severing connecting wires, enabling execution on multiple distributed devices. This study employs non‐maximally entangled (NME) states in joint wire cuts to reduce their overhead.
Marvin Bechtold +4 more
wiley +1 more source
Analogy between arithmetic of elliptic curves and conics [PDF]
arXiv, 2004 In this brief note we bring out the analogy between the arithmetic of elliptic curves and the Riemann zeta-function.
arxiv
Engineering Reports, Volume 7, Issue 4, April 2025.This study investigated the dissipative effects on time‐dependent Casson nanofluid motion over a cone, considering variable heat source/absorption and higher‐order reacting species. Water ethylene glycol was employed as the Casson base fluid. The proposed model has broad applicability across various scientific, engineering, and technological domains ...
L. Joseph Sademaki +2 more
wiley +1 more source
Smooth arithmetical sums over k-free integers [PDF]
arXiv, 2019 We use partial zeta functions to analyse the asymptotic behaviour of certain smooth arithmetical sums over smooth k-free integers.
arxiv
International Journal for Numerical Methods in Fluids, Volume 97, Issue 4, Page 462-483, April 2025.We investigate the macro‐element hybridized discontinuous Galerkin (HDG) method that combines advantages of continuous and discontinuous finite elements for compressible flow analysis. To efficiently handle large systems, we focus on computational strategies at the level of the direct local solver and the matrix‐free iterative global solver.
Vahid Badrkhani +3 more
wiley +1 more source
Experiments with zeta zeros and Perron's formula [PDF]
arXiv, 2011 Of what use are the zeros of the Riemann zeta function? We can use sums involving zeta zeros to count the primes up to $x$. Perron's formula leads to sums over zeta zeros that can count the squarefree integers up to $x$, or tally Euler's $\phi$ function and other arithmetical functions. This is largely a presentation of experimental results.
arxiv
Rank Two Non-Abelian Zeta and Its Zeros [PDF]
arXiv, 2004 In this paper, we first reveal an intrinsic relation between non-abelian zeta functions and Epstein zeta functions for algebraic number fields. Then, we expose a fundamental relation between stability of lattices and distance to cusps. Next, using these two relations, we explicitly express rank two zeta functions in terms of the well-known Dedekind ...
arxiv