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We approximate the Riemann Zeta-Function by polynomials and Dirichlet polynomials with restricted zeros.

Complex Variables · Mathematics 2018-08-10 P. M. Gauthier

We state a version of the P=?NP problem for infinite time Turing machines. It is observed that P not= NP for this version.

Logic · Mathematics 2007-05-23 Ralf Schindler

We prove some vanishing conditions on the Gromov-Witten invariants of product of P1.

Algebraic Geometry · Mathematics 2017-07-18 Hyenho Lho

The paper is devoted to the methods of solving simultaneous recurrences. Specifically, we discuss transformation of matrix recurrences to regular recurrences and propose a way of solving special matrix recurrences of order three by their…

Discrete Mathematics · Computer Science 2013-06-11 Mark Korenblit , Vadim E. Levit

A consistent procedure of canonical quantization of pseudoclassical model for spin one relativistic particle is considered. Two approaches to treat the quantization for the massless case are discussed, the limit of the massive case and…

High Energy Physics - Theory · Physics 2015-06-26 D. M. Gitman , A. E. Gonçalves , I. V. Tyutin

We solve an interpolation problem for computing $\zeta(2n)$ in a rather elementary way, by generalizing the main idea in \cite{SE}.

Number Theory · Mathematics 2016-04-13 Samuel G. Moreno , Esther M. García--Caballero

The $n$-time generalization of Schwarzschild solution is considered. The equations of geodesics for the metric are integrated. The multitemporal analogues of Newton laws for the extended objects described by the solution are suggested. The…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Vladimir D. Ivashchuk , Vitaly N. Melnikov

We cautiously reanalyze some easily confused notions on particle horizon problem in this paper and then we give a new answer to the particle horizon problem. This answer is independent of physics plunging into Planck time.

High Energy Physics - Theory · Physics 2007-05-23 Zhang Hongsheng

We obtain another proof of Hermite's integral for the Hurwitz zeta function.

Classical Analysis and ODEs · Mathematics 2009-08-12 Donal F Connon

A symplectic realization and some symmetries of a Rikitake type system are presented.

Dynamical Systems · Mathematics 2014-04-29 Cristian Lazureanu , Tudor Binzar

A q-difference analogue of the fourth Painlev\'e equation is proposed. Its symmetry structure and some particular solutions are investigated.

Exactly Solvable and Integrable Systems · Physics 2019-08-17 Kenji Kajiwara , Masatoshi Noumi , Yasuhiko Yamada

We present new families of weighted homogeneous and Newton non-degenerate line singularities that satisfy the Zariski multiplicity conjecture.

Algebraic Geometry · Mathematics 2019-03-01 Christophe Eyral , Maria Aparecida Soares Ruas

We provide a $q$-analogue of Euler's formula for $\zeta(2k)$ for $k\in\mathbb{Z}^+$. Our main results are stated in Theorems 3.1 and 3.2 below. The result generalizes a recent result of Z.W. Sun who obtained $q$-analogues of…

Number Theory · Mathematics 2018-09-11 Ankush Goswami

The relative partition function and the relative zeta function of the perturbation of the Laplace operator by a Coulomb potential plus a point interaction centered in the origin is discussed. Applications to the study of the Casimir effect…

Mathematical Physics · Physics 2016-08-09 Sergio Albeverio , Claudio Cacciapuoti , Mauro Spreafico

This paper introduces two forms of modular inverses and proves their reciprocity formulas respectively. These formulas are then applied to formulate new and generalized algorithm for computing these modular inverses. The same algorithm is…

Number Theory · Mathematics 2013-09-03 W. H. Ko

A.S. Dugas and R. Mart\'{i}nez-Villa proved in \cite[Corollary 5.1]{dm} that if there exists a stable equivalence of Morita type between the $k$-algebras $\Lambda$ and $\Gamma$, then it is possible to replace $\Lambda$ by a Morita…

Rings and Algebras · Mathematics 2012-02-14 M. Beattie , S. Caenepeel , S. Raianu

In this paper we present two different variants of method for symmetric matrix inversion, based on modified Gaussian elimination. Both methods avoid computation of square roots and have a reduced machine time's spending. Further, both of…

Mathematical Software · Computer Science 2015-04-28 Anton Kochnev , Nicolai Savelov

In this note, we polynomially reduce an instance of the partition problem to a dynamic lot sizing problem, and show that solving the latter problem solves the former problem. By solving the dynamic program formulation of the dynamic lot…

Computational Complexity · Computer Science 2025-12-24 Chee-Khian Sim

We introduce an iterated integral version of (generalized) log-sine integrals (iterated log-sine integrals) and prove a relation between a multiple polylogarithm and iterated log-sine integrals. We also give a new method for obtaining…

Number Theory · Mathematics 2019-04-23 Ryota Umezawa

It is proven an analogue of The Theorem of Moser according to an iterative normalization procedure depending on Generalized Fischer Decompositions.

Complex Variables · Mathematics 2021-05-26 Valentin Burcea
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