This paper gives an explicit version of Selberg’s mean-value estimate for the prime number theorem in intervals, assuming the Riemann hypothesis [25]. Two applications are given to short-interval results for primes and for Goldbach numbers. Under the Riemann hypothesis, we show there exists a prime in $(y,y+32\,277\log ^2 y]$ for at least half the $y\in [x,2x]$ for all $x\geq 2$, and at least one Goldbach number in $(x,x+9696 \log ^2 x]$ for all $x\geq 2$.

This article addresses the beginnings of the twinning relationship between Coventry and Kiel to introduce and exemplify the idea of ‘urban internationalism’ as a new lens onto urban histories of town twinning initiatives and a contribution to the historiography of British town twinning. Focusing on paradiplomatic initiatives by municipal officials, religious dignitaries and other citizens in Coventry and Kiel, the article examines the role that cities played in British–German reconstruction and reconciliation in the period from the end of World War II until the formation of the Federal Republic of Germany in 1949.

The in vitro culture of domestic cat embryos without the zona pellucida affects their implantation capacity. MicroRNAs (miRNAs) have an important role in embryo–maternal communication and implantation. The objective of this study was to evaluate the expression of specific miRNAs in domestic cat blastocysts cultured without the zona pellucida. Two experimental groups were done: (1) domestic cat embryos cultured with the zona pellucida (zona intact control group, ZI); and (2) cultured without the zona pellucida (zona free group, ZF). The cleavage, morula and blastocyst rates were evaluated. The blastocysts and their spent medium were used for miRNA expression analysis using RT-qPCR (miR-21, miR-24, mi25, miR-29, miR-96, miR-98, miR-103, miR-191, miR-196, miR-199, miR-130, miR-155 and miR-302). The pre-mature microRNAs (pre-miRNAs) and miRNAs were evaluated in the blastocysts and only miRNAs were evaluated in the spent medium. No differences were observed in the cleavage, morula and blastocyst rates between the ZF and ZI groups (P > 0.05). For miRNAs analysis, miR-103 and miR-191 had the most stable expression and were selected as internal controls. ZF blastocysts had a higher expression of miR-21, miR-25, miR-29 and miR-199 and a lower expression of miR-96 than their ZI counterparts (P < 0.05). Furthermore, higher levels of miR-21, miR-25 and miR-98 were detected in the spent medium of ZF blastocysts (P < 0.05). In conclusion, in vitro culture of domestic cat embryos without the zona pellucida modifies the expression of miR-21, miR-25, miR-29, miR-199 and miR-96 at the blastocyst stage and the release of miR-21, miR-25 and miR-98.

This article provides a fresh perspective on the history of East German town twinning in the early era of détente. While previous studies have analysed East German town twinning solely as an instrument of the Socialist Unity Party (Sozialistische Einheitspartei Deutschlands, SED) to establish paradiplomatic relations in Western Europe, I explore the dynamic inter-relation between global, national and local actors and the ambiguities of urban détente. I reveal the importance of the German Association of Towns and Municipalities (Deutsche Städte- und Gemeindetag, DStuG), the East German association of municipalities, which crucially shaped the East German concept of urban détente through practising trans-local exchange. The role played by the DStuG was backed by the United Towns Organization (UTO), a non-governmental organization founded in 1957 whose aim was to form a global network of cities beyond the East–West divide. In 1960, the DStuG joined the UTO as a member and consciously used its new position to expand its scope and improve its national status through actively working on the conceptualization of urban détente. However, the conflicts between the East German foreign ministry and the UTO grew bigger, resulting in the marginalization of the DStuG and town twinning in the SED’s concept of détente. These conflicts encouraged the UTO to redefine its global approach.

Dissolved inorganic carbon (DIC) in ocean water is a major sink of fossil fuel derived CO2. Carbon isotopes in DIC serve as tracers for oceanic water masses, biogeochemical processes, and air-sea gas exchange. We present a timeseries of surface DIC δ13C and Δ14C values from 2011 to 2022 from Newport Beach, California. This is a continuation of previous timeseries (Hinger et al. 2010; Santos et al. 2011) that together provide an 18-year record. These data show that DIC Δ14C values have declined by 42‰ and that DIC δ13C values have declined by 0.4‰ since 2004. By 2020, DIC Δ14C values were within analytical error of nearby clean atmospheric CO2 Δ14C values. These long-term trends are likely the result of significant fossil fuel derived CO2 in surface DIC from air-sea gas exchange. Seasonally, Δ14C values varied by 3.4‰ between 2011 and 2022, where seasonal δ13C values varied by 0.7‰. The seasonal variation in Δ14C values is likely driven by variations in upwelling, surface eddies, and mixed layer depth. The variation in δ13C values appears to be driven by isotopic fractionation from marine primary producers. The DIC δ13C and Δ14C values record the influence of the drought that began in 2012, and a major upwelling event in 2016.

The article reflects upon the observational practices and methods developed by the early exponents of ethology committed to naturalistic field study and explores how their approaches and techniques influenced a wider field of popular natural-history filmmaking and photography. In doing so, my focus is upon three aspects of ethological field studies: the socio-technical devices used by ethologists to bring birds closer to them, the distinctive observational and representational practices which they forged, and the analogies they used to codify behaviour. This assemblage of elements included hides or screens from which to watch wild birds without disturbing them, optics to extend human vision, pens and paper to sketch and fix patterns of behaviour, watches to record timings, photography to capture action and freeze movement, and illustration and photographs to visualize behaviour. Carried through natural-history networks, the practices, methods and theories of ethologists like Huxley and Tinbergen influenced popular natural-history filmmaking and photography more broadly from the 1940s, driving a behavioural turn in these cultural practices. This popularization of the ‘ethological eye’ was further facilitated by the convergence of socio-technical devices, forms of observation and dramatization in the work of the early exponents of naturalistic field studies of birds and the popular filmmakers.

Long neglected, Gaetano Salvemini's years of exile (1925–1949) now constitute a crucial period for reconsidering his intellectual and political profile. This article intends first to propose an overall interpretation of Salvemini's exile that considers the years 1919 to 1925 as the culmination of a profound turning point in his life. The central part of the essay is devoted to reconstructing the genesis of Salvemini's relationship with the United States and dwells on the reflections written after his first trip overseas in 1927. In them it is possible to find a clear analysis of the impact of Fascist propaganda on American soil and a definition of the tasks that exiles were called upon to perform in their host countries. Building on these premises, the study rereads Salvemini's years of American exile by focusing on three aspects. Firstly, his great ability to adapt to the American academic world. Secondly, his commitment to the field of research, with works dedicated to the study of Fascism, some centred on a reinterpretation of the concept of democracy and others on the methodology of history. Thirdly, his prodigious activity carried out in the antifascist struggle.

In 1959, East German Dresden and western Polish Wrocław were twinned to promote cross-border contact between political leaders, worker delegations and cultural groups. Officially formed to promote worker solidarity among friendly East Bloc regimes, in practice the inter-relationship exposed a troubling history that was just below the surface. In the recent aftermath of Nazi defeat, the German population of Breslau (over 600,000 people) had fled or been expelled from a city which had long been German. At the same time that Breslau became Polish Wrocław, a significant number of old Breslauers settled in the East German province of Saxony, especially Dresden. This article uses archival and published sources to show how, under the umbrella of worker exchanges, field trips and official amity, the sister-city programme unintentionally became a venue for German exiles from Breslau to encounter Wrocławian delegations in Dresden and to return ‘home’ to discover Wrocław’s post-war Polish reality.

If the ‘colour line’ was prophetically defined as the issue of the twentieth century, in the twenty-first century the concern of many scholars is with the research methodology that the attention on the colour line has generated. Migration, postcolonial, and blackness studies focusing on Italy have all asked fundamental questions on how to reframe history, memory, and culture. Charles Burdett (2018) has posited that migration and mobility are vital for the repositioning of the discipline of Italian Studies and Modern Languages as a whole. Critics have argued that Italian Black literature is redefining Italian literature (Romeo 2017) and its reception (Patriarca 2018). Alessandra Ciucci's recent monograph The Voice of the Rural: Music, Poetry and Masculinity among Migrant Moroccan Men in Umbria (2022) and the volume The Black Mediterranean: Borders, Bodies and Citizenship (2021) edited by the Black Mediterranean Collective contribute to this discussion. Both books offer new approaches to analyse migration and deconstruct Eurocentrism. They both emphasise the migrants’ agency and theorise the researcher's position as a tool for the decolonisation of culture.

Brazil has changed its negotiation strategy in World Trade Organization (WTO) negotiations. In the first half of the WTO era (1995–), Brazil adopted a strong developing country leadership role as coordinator and spokesperson of the G20 group of developing countries. More recently, however, this group has disappeared from the negotiation scene. This article examines how Brazil has departed from a 2000 status quo and arrived at a more flexible approach, less reliant on the industrialized-developing divide as a structuring principle of its diplomacy. Using WTO negotiation documents, trade delegate interviews, dispute settlement case law, and secondary literature, I outline the contours of new directions in Brazilian trade policy. These include joint legislative initiatives with the EU, a move towards the plurilateral level on non-traditional issues, a greater heterogeneity of dispute settlement targets, and a newly flexible handling of its rights under the WTO's special and differential treatment status. The article contributes to ongoing debates on Brazil's status in international affairs, its reliance on large coalitions, and the maintenance of followership as key directives of its foreign policy, and scholarship that sees Brazil as stuck in a ‘graduation dilemma’.

In the referendum of 23 June 2016, the UK's decision to leave the EU in the course of a Brexit was very close, with 51.9% (Leave) versus 48.1% (Remain). A year after the final withdrawal from the European Union, disillusionment seems to have spread in Great Britain. The focus of previous linguistic studies is mostly on the language used during the Leave and Remain campaigns. Charteris–Black (2019) is the first book-length study to provide a systematic description of the plethora of metaphors of Brexit. His analysis is based on the evaluation of a variety of data published in connection with the Brexit referendum, ranging from newspaper articles to social media posts and cartoons:

Given a sound first-order p-time theory T capable of formalizing syntax of first-order logic we define a p-time function $g_T$ that stretches all inputs by one bit and we use its properties to show that T must be incomplete. We leave it as an open problem whether for some T the range of $g_T$ intersects all infinite ${\mbox {NP}}$ sets (i.e., whether it is a proof complexity generator hard for all proof systems).

A propositional version of the construction shows that at least one of the following three statements is true:

1. 1. There is no p-optimal propositional proof system (this is equivalent to the non-existence of a time-optimal propositional proof search algorithm).

2. 2. $E \not \subseteq P/poly$.

3. 3. There exists function h that stretches all inputs by one bit, is computable in sub-exponential time, and its range $Rng(h)$ intersects all infinite ${\text {NP}}$ sets.