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[null,"1.","Record Nr.",null,"UNISA996390554003316"]
[null,null,"Titolo",null,"Treason justly punished: or, A full relation of the condemnation and execution of Mr. William Staley [[electronic resource] ] : who was found guilty of high treason, at the Kings-bench-barr at Westminster, on Thursday the 21st. of Nov. 1678. For speaking dangerous, and treasonable words against his most Sacred Majesty the King. For which he was sentenced to be drawn, hang'd, and quartered. And was accordingly executed upon Tuesday the 26th. of this instant Nov. 1678. at Tyburn. Tune of, The rich merchant-man &c. VVith allowance"]
[null,null,"Pubbl/distr/stampa",null,"[London], : Printed for F. Coles, T. Vere, J. Wright, and I. Clarke, [1674-1679]"]
[null,null,"Descrizione fisica",null,"1 sheet ([1] p.) : ill. (woodcuts)"]
[null,null,"Soggetti",null,"Treason - England"]
[{"$nulls":4},"Ballads, English - 17th century"]
[{"$nulls":4},"Executions and executioners - England"]
[{"$nulls":4},"Trials (Treason) - England"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Verse - \"O stay, and lend an ear,\"."]
[{"$nulls":4},"Place of publication from and date estimated by Wing."]
[{"$nulls":4},"Reproduction of the original in the Harvard University Library."]
[null,null,null,"Sommario/riassunto","eebo-0062"]
[null,"2.","Record Nr.",null,"UNINA9910483767303321"]
[null,null,"Autore",null,"Dittrich Walter"]
[null,null,"Titolo",null,"Reassessing Riemann's paper : on the number of primes less than a given magnitude / / Walter Dittrich"]
[null,null,"Pubbl/distr/stampa",null,"Cham, Switzerland : , : Springer, , [2018]"]
[{"$nulls":4},"Â©2018"]
[null,null,"ISBN",null,"3-030-61049-7"]
[null,null,"Edizione",null,"[Second edition.]"]
[null,null,"Descrizione fisica",null,"1 online resource (XI, 107 p. 18 illus., 10 illus. in color.)"]
[null,null,"Collana",null,"SpringerBriefs in History of Science and Technology"]
[null,null,"Disciplina",null,"512.7"]
[null,null,"Soggetti",null,"Number theory"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,"Nota di contenuto",null,"Preface -- Introduction -- Short Biography of Bernhard Riemann (1826 – 1866) -- Towards Euler's Product Formula and Riemann’s Extension of the Zeta Function -- Prime Power Number Counting Function -- Riemann as an Expert in Fourier Transforms -- On the Way to Riemann’s Entire Function ζ(s) -- The Product Representation of ξ(s) and ζ(s) by Riemann (1859) -- Derivation of Von Mangoldt’s Formula for ψ(x) -- The Number of Roots in the Critical Strip -- Riemann’s Zeta Function Regularization -- ζ-Function Regularization of the Partition Function of the Harmonic Oscillator -- ζ-Function Regularization of the Partition Function of the Fermi Oscillator -- The Zeta-Function in Quantum Electrodynamics (QED) -- Summary of Euler-Riemann Formulae -- Appendix."]
[null,null,null,"Sommario/riassunto","In this book, the author pays tribute to Bernhard Riemann (1826-1866), a mathematician with revolutionary ideas, whose work on the theory of integration, the Fourier transform, the hypergeometric differential equation, etc. contributed immensely to mathematical physics. The text concentrates in particular on Riemann’s only work on prime numbers, including ideas – new at the time – such as analytical continuation into 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. This revised and enhanced new edition contains three new chapters, two on the application of Riemann’s zeta-function regularization to obtain the partition function of a Bose (Fermi) oscillator and one on the zeta-"]
[{"$nulls":4},"function regularization in quantum electrodynamics. Appendix A2 has been re-written to make the calculations more transparent. A summary of Euler-Riemann formulae completes the book."]