scholarly journals A NEW CONSTRUCTION OF p-ADIC RANKIN CONVOLUTIONS IN THE CASE OF POSITIVE SLOPE

2010 ◽  
Vol 06 (08) ◽  
pp. 1875-1900
Author(s):  
MATHIEU VIENNEY

Given two newforms f and g of respective weights k and l with l < k, Hida constructed a p-adic L-function interpolating the values of the Rankin convolution of f and g in the critical strip l ≤ s ≤ k. However, this construction works only if f is an ordinary form. Using a method developed by Panchishkin to construct p-adic L-function associated with modular forms, we generalize this construction to the case where the slope of f is small.

2011 ◽  
Vol 29 (4) ◽  
pp. 337-351 ◽  
Author(s):  
Adi Irfan Che‐Ani ◽  
Zaleha Mohd Noor ◽  
Low Sui Pheng ◽  
Norngainy Mohd Tawil ◽  
Mazlan Mohd Tahir

2013 ◽  
Vol 838-841 ◽  
pp. 241-244
Author(s):  
Hyun Woo Joh ◽  
In Sig Lim ◽  
Yong Hwa Choi ◽  
Yoon Seok Shin ◽  
Gwang Hee Kim

Of the construction processes involved in high-rise building construction, core wall construction is a highly repetitive construction works. Therefore, the effective management of core wall construction works by a project manager can save costs and shorten the duration of high-rise building construction. This study analyzes a case in which a core structure succeeding method (CSSM) is applied to core wall construction. The results of the case study found that the efficiency of CSSM in terms of construction costs and duration is higher than that of the core wall preceding construction method (CWPCM).


2012 ◽  
Vol 08 (03) ◽  
pp. 749-762 ◽  
Author(s):  
THOMAS A. HULSE ◽  
E. MEHMET KIRAL ◽  
CHAN IEONG KUAN ◽  
LI-MEI LIM

From a result of Waldspurger [W. Kohnen and D. Zagier, Values of L-series of modular forms at the center of the critical strip, Invent. Math.64 (1981) 175–198], it is known that the normalized Fourier coefficients a(m) of a half-integral weight holomorphic cusp eigenform 𝔣 are, up to a finite set of factors, one of [Formula: see text] when m is square-free and f is the integral weight cusp form related to 𝔣 by the Shimura correspondence [G. Shimura, On modular forms of half-integral weight, Ann. of Math.97 (1973) 440–481]. In this paper we address a question posed by Kohnen: which square root is a(m)? In particular, if we look at the set of a(m) with m square-free, do these Fourier coefficients change sign infinitely often? By partially analytically continuing a related Dirichlet series, we are able to show that this is so.


2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Sonia Romaniega Piñeiro ◽  
Mercedes del Río Merino ◽  
Cristina Pérez García

Over the last decade the intense activity of the building sector has generated large quantities of construction and demolition waste (CDW). In particular, in Europe around 890 million tons of CDW is generated every year; however, only 50% of them are recycled. In Spain, over the last years 40 millions of tons of construction and demolition waste have been generated. On the other hand, since the implementation of the Technical Building Code regulation the use of mineral wools as building insulation materials has become a widespread solution in both rehabilitation and new construction works, and because of that, this kind of insulation waste is increasing. This research analyzes the potential of a new composite (gypsum and fiber waste) including several mineral wools waste into a plaster matrix. For this purpose, an experimental plan, characterizing the physical and mechanical behaviour as well as the Shore C hardness of the new composite, was elaborated fulfilling UNE Standards.


2015 ◽  
Vol 58 (2) ◽  
pp. 385-432 ◽  
Author(s):  
DANIEL DELBOURGO

AbstractSuppose E is an elliptic curve over $\Bbb Q$, and p>3 is a split multiplicative prime for E. Let q ≠ p be an auxiliary prime, and fix an integer m coprime to pq. We prove the generalised Mazur–Tate–Teitelbaum conjecture for E at the prime p, over number fields $K\subset \Bbb Q\big(\mu_{{q^{\infty}}},\;\!^{q^{\infty}\!\!\!\!}\sqrt{m}\big)$ such that p remains inert in $K\cap\Bbb Q(\mu_{{q^{\infty}}})^+$. The proof makes use of an improved p-adic L-function, which can be associated to the Rankin convolution of two Hilbert modular forms of unequal parallel weight.


2021 ◽  
Vol 3 ◽  
pp. 53-64
Author(s):  
Izabela Piech ◽  
◽  
Przemysław Klapa ◽  
Piotr Szatan ◽  
◽  
...  

In the present day, we are witnessing the dynamic development of our country. We observe a growing number of new construction investments, which are designed to meet the needs of the market. Streets are being widened to cope with the growing number of vehicles, modern office buildings and skyscrapers are being built in the largest Polish cities, which at the same time have valuable architectural objects in their oldest districts. Such objects, due to their age, are susceptible to damage, and thus to the threat that their value will be lost. Such damage may occur in the course of construction works that destabilize the soil structure, which may lead to damage to the building’s foundations and, as a result, harm or destroy the most important structural elements of the monument. Another important factor is the operation of industrial plants that emit harmful substances, which have a negative impact on façades and other external elements, such as, for example, relief sculptures. It may be difficult and complicated to remove the effects of the risks described above if the documentation necessary to carry out protection or renovation works is incomplete or insufficiently detailed. A separate issue worth discussing are architectural objects made of perishable materials such as wood [Bernat et al. 2014]. There are many objects of wooden architecture in Poland, such as: Catholic and Orthodox churches, open-air museums, and other relics of bygone eras. Apart from the obvious threat of fire and its negative effects, one can also mention the negative impact of precipitation, whether in the form of rain causing the wood to soak and, as a result, to rot, or the risk of damaging the foundations during a flood. The listed threats have a direct and indirect impact on the structure of such historical buildings. Therefore, it is important to take care of their detailed survey, with the view to preserving and maintaining them. It is also worth mentioning a large number of castles located in our country. The condition of their structures is very diverse and ranges from newly restored buildings to those with only foundations left. In all cases, it is important to obtain accurate plans and models of these building objects. This will serve to preserve their dimensions and shapes. Such data can be used to develop documentation necessary to carry out reconstruction or renovation in order to return the building to its former glory, and thus obtain another object worth seeing.


2018 ◽  
Vol 10 (12) ◽  
pp. 4772 ◽  
Author(s):  
Basem Khatib ◽  
Yap Poh ◽  
Ahmed El-Shafie

Delays in construction projects are a common phenomenon throughout the industry. This problem has many negative impacts on the time, cost, and sustainability of the projects. Many studies were conducted to identify the main causes of this delay in new construction projects in different regions but very few studies have focused on finding an explanation for the causes of delay in major reconstruction projects that have great religious and cultural sustainability. This paper examines the factors that contributed to work delays in one of the most major reconstruction projects that took place recently in the Middle East, which is namely the Mataf Expansion Project in the city of Mecca, Saudi Arabia. Fourteen interviews were conducted with project managers, construction managers, and senior site engineers to identify the factors that they encountered and led to the delay in the reconstruction activities of this project. Some of the findings were consistent and similar to most other causes of delay that are associated with new construction projects. However, interestingly, this research has discovered the existence of other unavoidable factors that caused a delay and should be considered for any similar reconstruction projects. The results showed that these factors could be divided into two groups: the first one is related to the demolition phase (five factors) and the second group is related to construction works (nine factors). In addition, it has been observed that the building material during the reconstruction is considered one of the major delaying factors. Finally, these 14 delay factors should be carefully considered to assure the sustainability of the main object’s function during the reconstruction activities.


2021 ◽  
Vol 263 ◽  
pp. 02010
Author(s):  
Nikolay Ivanov ◽  
Maksim Gnevanov

Organization of work takes a significant place among the basic tasks of the construction industry. The organization of repair and construction works (R-CW) is especially important, since they have specific features in comparison with new construction. Today, information technologies are actively developing, which make significant changes in various industries, including construction. One of the progressive technologies today is the analysis of “big data”. This article outlines the basic concept of using “big data” in the organization of R-CW, which makes it possible to increase the efficiency of organizational decisions, based on the characteristics of a particular repair and construction organization. The methodology proposed by the authors, aimed at the implementation of this concept, includes the solution of a number of tasks, such as assessing organizational decisions that are developed within the framework of a work production project, determining the level of organizational and technological reliability (OTR) and, as a consequence, choosing the best solution. As a tool for the implementation of the above tasks, the authors use a simulation model that makes it possible to simulate the process of performing repair and construction work, taking into account the random nature of their duration. The authors describe the experience of using the proposed methodology in the practice of functioning of one of the Russian construction organizations.


1981 ◽  
Vol 64 (2) ◽  
pp. 175-198 ◽  
Author(s):  
W. Kohnen ◽  
D. Zagier
Keyword(s):  

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