Reassessing Riemann's paper: on the number of primes less than a given magnitude

Mostrar otras versiones (1)

In this book, the author pays tribute to Bernhard Riemann (1826–1866), mathematician with revolutionary ideas, whose work on the theory of integration, the Fourier transform, the hypergeometric differential equation, etc. contributed immensely to mathematical physics. This book concentrates in parti...

Descripción completa

Detalles Bibliográficos
Autor principal: Dittrich, Walter
Lenguaje:eng
Publicado: Springer 2018
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/978-3-319-91482-4
http://cds.cern.ch/record/2622180
_version_ 1780958573687209984
author Dittrich, Walter
author_facet Dittrich, Walter
author_sort Dittrich, Walter
collection CERN
description In this book, the author pays tribute to Bernhard Riemann (1826–1866), mathematician with revolutionary ideas, whose work on the theory of integration, the Fourier transform, the hypergeometric differential equation, etc. contributed immensely to mathematical physics. This book concentrates in particular on Riemann’s only work on prime numbers, including such then new ideas as analytical continuation in the complex plane and the product formula for entire functions. A detailed analysis of the zeros of the Riemann zeta function is presented. The impact of Riemann’s ideas on regularizing infinite values in field theory is also emphasized.
id cern-2622180
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2018
publisher Springer
record_format invenio
spelling cern-26221802021-04-21T18:48:45Zdoi:10.1007/978-3-319-91482-4http://cds.cern.ch/record/2622180engDittrich, WalterReassessing Riemann's paper: on the number of primes less than a given magnitudeMathematical Physics and MathematicsIn this book, the author pays tribute to Bernhard Riemann (1826–1866), mathematician with revolutionary ideas, whose work on the theory of integration, the Fourier transform, the hypergeometric differential equation, etc. contributed immensely to mathematical physics. This book concentrates in particular on Riemann’s only work on prime numbers, including such then new ideas as analytical continuation in the complex plane and the product formula for entire functions. A detailed analysis of the zeros of the Riemann zeta function is presented. The impact of Riemann’s ideas on regularizing infinite values in field theory is also emphasized.Springeroai:cds.cern.ch:26221802018
spellingShingle Mathematical Physics and Mathematics
Dittrich, Walter
Reassessing Riemann's paper: on the number of primes less than a given magnitude
title Reassessing Riemann's paper: on the number of primes less than a given magnitude
title_full Reassessing Riemann's paper: on the number of primes less than a given magnitude
title_fullStr Reassessing Riemann's paper: on the number of primes less than a given magnitude
title_full_unstemmed Reassessing Riemann's paper: on the number of primes less than a given magnitude
title_short Reassessing Riemann's paper: on the number of primes less than a given magnitude
title_sort reassessing riemann's paper: on the number of primes less than a given magnitude
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-319-91482-4
http://cds.cern.ch/record/2622180
work_keys_str_mv AT dittrichwalter reassessingriemannspaperonthenumberofprimeslessthanagivenmagnitude

Ejemplares similares