In mathematics, an L-function is a meromorphic function on the complex plane, associated to one out of several categories of mathematical objects. An L-series is a Dirichlet series, usually convergent on a half-plane, that may give rise to an L-function via analytic continuation. The Riemann zeta function is an example of an L-function, and one important conjecture involving L-functions is the Riemann hypothesis and its generalization.
Sir Michael Victor Berry,, is a mathematical physicist at the University of Bristol, England.
In mathematics, the Hilbert–Pólya conjecture states that the non-trivial zeros of the Riemann zeta function correspond to eigenvalues of a self-adjoint operator. It is a possible approach to the Riemann hypothesis, by means of spectral theory.
In mathematics, the Lindelöf hypothesis is a conjecture by Finnish mathematician Ernst Leonard Lindelöf about the rate of growth of the Riemann zeta function on the critical line. This hypothesis is implied by the Riemann hypothesis. It says that for any ε > 0,
Peter Clive Sarnak is a South African-born mathematician with dual South-African and American nationalities. Sarnak has been a member of the permanent faculty of the School of Mathematics at the Institute for Advanced Study since 2007. He is also Eugene Higgins Professor of Mathematics at Princeton University since 2002, succeeding Andrew Wiles, and is an editor of the Annals of Mathematics. He is known for his work in analytic number theory. He also sits on the Board of Adjudicators and the selection committee for the Mathematics award, given under the auspices of the Shaw Prize.
Richard Samuel Ward FRS is a British mathematical physicist. He is a Professor of Mathematical & Theoretical Particle Physics at the University of Durham.
Nina Claire Snaith is a British mathematician at the University of Bristol working in random matrix theory and quantum chaos.
In mathematics, Riemann–Hilbert problems, named after Bernhard Riemann and David Hilbert, are a class of problems that arise in the study of differential equations in the complex plane. Several existence theorems for Riemann–Hilbert problems have been produced by Mark Krein, Israel Gohberg and others.
Nicholas John Higham FRS is a British numerical analyst. He is Royal Society Research Professor and Richardson Professor of Applied Mathematics in the Department of Mathematics at the University of Manchester.
John Brian Conrey is an American mathematician and the executive director of the American Institute of Mathematics. His research interests are in number theory, specifically analysis of L-functions and the Riemann zeta function.
Toshikazu Sunada is a Japanese mathematician and author of many books and essays on mathematics and mathematical sciences. He is professor emeritus of both Meiji University and Tohoku University. He is also distinguished professor of emeritus at Meiji in recognition of achievement over the course of an academic career. Before he joined Meiji University in 2003, he was professor of mathematics at Nagoya University (1988–1991), at the University of Tokyo (1991–1993), and at Tohoku University (1993–2003). Sunada was involved in the creation of the School of Interdisciplinary Mathematical Sciences at Meiji University and is its first dean (2013–2017). Since 2019, he is President of Mathematics Education Society of Japan.
Ernesto Estrada is a Cuban-Spanish scientist. He has been Senior ARAID Researcher at the Institute of Mathematics and Applications at the University of Zaragoza, Spain since 2019. Before that he was the chair in Complexity Science, and full professor at the Department of Mathematics and Statistics of the University of Strathclyde, Glasgow, United Kingdom. He is known by his contributions in different disciplines, including mathematical chemistry and complex network theory.
Percy Alec Deift is a mathematician known for his work on spectral theory, integrable systems, random matrix theory and Riemann–Hilbert problems.
Vlatko Vedral is a Serbian-born physicist and Professor in the Department of Physics at the University of Oxford and a Fellow of Wolfson College, Oxford. Until the summer of 2022 he also held a joint appointment at the Centre for Quantum Technologies (CQT) at the National University of Singapore. He is known for his research on the theory of quantum entanglement and quantum information theory. He has published numerous research papers, which are regularly cited, in quantum mechanics and quantum information, and was awarded the Royal Society Wolfson Research Merit Award in 2007. He has held a lectureship and readership at Imperial College, a professorship at Leeds and visiting professorships in Vienna, Singapore (NUS) and at the Perimeter Institute for Theoretical Physics in Canada. He is the author of several books, including Decoding Reality.
Françoise Tisseur is a numerical analyst and Professor of Numerical Analysis at the Department of Mathematics, University of Manchester, UK. She works in numerical linear algebra and in particular on nonlinear eigenvalue problems and structured matrix problems, including the development of algorithms and software.
Zeev Rudnick or Ze'ev Rudnick is a mathematician, specializing in number theory and in mathematical physics, notably quantum chaos. Rudnick is a professor at the School of Mathematical Sciences and the Cissie and Aaron Beare Chair in Number Theory at Tel Aviv University.
Albert Edward Green was a British applied mathematician and research scientist in theoretical and applied mechanics.
Dorje C. Brody is a British applied mathematician and mathematical physicist.
Alain Goriely is a Belgian mathematician, currently holding the statutory professorship (chair) of mathematical modelling at the University of Oxford, Mathematical Institute. He is director of the Oxford Centre for Industrial Mathematics (OCIAM), of the International Brain and Mechanics Lab (IBMTL) and Professorial Fellow at St Catherine's College, Oxford. At the Mathematical Institute, he was the director of external relations and public engagement, from 2013 until 2022, initiating the Oxford Mathematics series of public lectures. In 2022, he was elected to the Royal Society.
Adam Harper is a mathematician specialising in number theory, particularly in analytic, combinatorial and probabilistic number theory, and serving as Professor with University of Warwick, England. Harper was awarded the SASTRA Ramanujan Prize in 2019 "for several outstanding contributions to analytic and probabilistic number theory." This annual prize is awarded for outstanding contributions by individuals not exceeding the age of 32 in areas of mathematics influenced by Srinivasa Ramanujan. The age limit has been set at 32 because Ramanujan died at the age of 32 years.
