نتایج جستجو برای: extended riemann

تعداد نتایج: 232034  

2003
V. Z. ENOLSKI T. GRAVA

We are solving the classical Riemann-Hilbert problem of rank N > 1 on the extended complex plane punctured in 2m + 2 points, for N × N quasi-permutation monodromy matrices with 2m(N − 1) parameters. Our approach is based on the finite gap integration method applied to study the Riemann-Hilbert by Deift, Its, Kapaev and Zhou [1] and Kitaev and Korotkin [2, 3]. This permits us to solve the Rieman...

2003
YOTAM I. GINGOLD HARRY GINGOLD

We study a family of compactifications of the complex plane that distinguishes among the values of positive infinity, negative infinity, and other “arguments” of infinity. We augment the complex plane with an ideal set of points on an ideal circle. Each point on this circle corresponds to a different ray in the complex plane emanating from the origin. In this manner we obtain the “ultra extende...

2016
Daniel Friedan

First steps are taken in a project to construct a general class of conformal and perhaps, eventually, non-conformal quantum field theories of (n−1)-dimensional extended objects in a d=2n dimensional conformal space-time manifold M . The fields live on the spaces E∂ξ of relative integral (n−1)-cycles in M . These are the integral (n−1)-currents of given boundary ∂ξ. Each E∂ξ is a complete metric...

Journal: :Math. Comput. 2010
Guillermo López Lagomasino Domingo Pestana José M. Rodríguez Dmitry Yakubovich

We find a system of two polynomial equations in two unknowns, whose solution allows us to give an explicit expression of the conformal representation of a simply connected three-sheeted compact Riemann surface onto the extended complex plane. This function appears in the description of the ratio asymptotic of multiple orthogonal polynomials with respect to so-called Nikishin systems of two meas...

1997
Eric Bach

Let p be an odd prime. Assuming the Extended Riemann Hypothesis , we show how to construct O((log p) 4 (loglogp) ?3) residues modulo p, one of which must be a primitive root, in deterministic polynomial time. Granting some well-known character sum bounds, the proof is elementary, leading to an explicit algorithm.

Journal: :SpringerPlus 2016
Adem Kılıçman Maryam Omran

In this article, we define the fractional Mellin transform by using Riemann-Liouville fractional integral operator and Caputo fractional derivative of order [Formula: see text] and study some of their properties. Further, some properties are extended to fractional way for Mellin transform.

2008
Claudio Meneghini

In this paper we state and proof an extended version of Painlevé’s determinateness theorem . We study the C0−continuability along analytic arcs of solutions of some Cauchy’s problems, which will be ’multiple-valued’, i.e. defined on Riemann domains spread over C2.

2011
Kevin Ford Florian Luca

We study the question of whether for each n there is an m �= n with λ(m) = λ(n), where λ is Carmichael’s function. We give a “near” proof of the fact that this is the case unconditionally, and a complete conditional proof under the Extended Riemann Hypothesis. –To Professor Carl Pomerance on his 65th birthday

2008
PEDRO BERRIZBEITIA

For any integer r we show that the notion of ω-prime to base a introduced by Berrizbeitia and Berry, 2000, leads to a primality test for numbers n congruent to 1 modulo r, which runs in polynomial time assuming the Extended Riemann Hypothesis (ERH). For r = 2 we obtain Miller’s classical result.

Journal: :Math. Comput. 1997
Eric Bach

Let p be an odd prime. Assuming the Extended Riemann Hypothesis, we show how to construct O((log p)4(log log p)−3) residues modulo p, one of which must be a primitive root, in deterministic polynomial time. Granting some well-known character sum bounds, the proof is elementary, leading to an explicit algorithm.

نمودار تعداد نتایج جستجو در هر سال

با کلیک روی نمودار نتایج را به سال انتشار فیلتر کنید