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Synopsis
More than a century after Srinivasa Ramanujan's discoveries, his extraordinary identities continue to illuminate some of the deepest structures in mathematics.
This book explores the remarkable connections between Ramanujan's infinite series, modular forms, theta functions, automorphic representations, Hilbert-Pólya theory, random matrix statistics, adelic harmonic analysis, Langlands correspondences, and noncommutative geometry.
Moving from classical analytic number theory to modern arithmetic geometry, the book develops a unified perspective in which Ramanujan's formulae appear as analytic shadows of a deeper arithmetic spectral structure.
While making no claim to resolve the Riemann Hypothesis, it argues that any successful theory of the zeta function must explain the profound dualities and spectral phenomena already visible in Ramanujan's work.
Suitable for advanced students, researchers, and mathematicians interested in zeta functions, modular forms, arithmetic geometry, and the hidden structure of the prime numbers.
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Ramanujan, Zeta Functions, and the Hidden Spectrum of the Primes (Paperback)
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Paperback. Etat : new. Paperback. More than a century after Srinivasa Ramanujan's discoveries, his extraordinary identities continue to illuminate some of the deepest structures in mathematics.This book explores the remarkable connections between Ramanujan's infinite series, modular forms, theta functions, automorphic representations, Hilbert-Polya theory, random matrix statistics, adelic harmonic analysis, Langlands correspondences, and noncommutative geometry.Moving from classical analytic number theory to modern arithmetic geometry, the book develops a unified perspective in which Ramanujan's formulae appear as analytic shadows of a deeper arithmetic spectral structure.While making no claim to resolve the Riemann Hypothesis, it argues that any successful theory of the zeta function must explain the profound dualities and spectral phenomena already visible in Ramanujan's work.Suitable for advanced students, researchers, and mathematicians interested in zeta functions, modular forms, arithmetic geometry, and the hidden structure of the prime numbers. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9798240952326
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Ramanujan, Zeta Functions, and the Hidden Spectrum of the Primes (Paperback)
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Paperback. Etat : new. Paperback. More than a century after Srinivasa Ramanujan's discoveries, his extraordinary identities continue to illuminate some of the deepest structures in mathematics.This book explores the remarkable connections between Ramanujan's infinite series, modular forms, theta functions, automorphic representations, Hilbert-Polya theory, random matrix statistics, adelic harmonic analysis, Langlands correspondences, and noncommutative geometry.Moving from classical analytic number theory to modern arithmetic geometry, the book develops a unified perspective in which Ramanujan's formulae appear as analytic shadows of a deeper arithmetic spectral structure.While making no claim to resolve the Riemann Hypothesis, it argues that any successful theory of the zeta function must explain the profound dualities and spectral phenomena already visible in Ramanujan's work.Suitable for advanced students, researchers, and mathematicians interested in zeta functions, modular forms, arithmetic geometry, and the hidden structure of the prime numbers. This item is printed on demand. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. N° de réf. du vendeur 9798240952326
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Ramanujan, Zeta Functions, and the Hidden Spectrum of the Primes (Paperback)
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Paperback. Etat : new. Paperback. More than a century after Srinivasa Ramanujan's discoveries, his extraordinary identities continue to illuminate some of the deepest structures in mathematics.This book explores the remarkable connections between Ramanujan's infinite series, modular forms, theta functions, automorphic representations, Hilbert-Polya theory, random matrix statistics, adelic harmonic analysis, Langlands correspondences, and noncommutative geometry.Moving from classical analytic number theory to modern arithmetic geometry, the book develops a unified perspective in which Ramanujan's formulae appear as analytic shadows of a deeper arithmetic spectral structure.While making no claim to resolve the Riemann Hypothesis, it argues that any successful theory of the zeta function must explain the profound dualities and spectral phenomena already visible in Ramanujan's work.Suitable for advanced students, researchers, and mathematicians interested in zeta functions, modular forms, arithmetic geometry, and the hidden structure of the prime numbers. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. N° de réf. du vendeur 9798240952326
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Ramanujan, Zeta Functions, and the Hidden Spectrum of the Primes
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Taschenbuch. Etat : Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - More than a century after Srinivasa Ramanujan's discoveries, his extraordinary identities continue to illuminate some of the deepest structures in mathematics.This book explores the remarkable connections between Ramanujan's infinite series, modular forms, theta functions, automorphic representations, Hilbert-Pólya theory, random matrix statistics, adelic harmonic analysis, Langlands correspondences, and noncommutative geometry.Moving from classical analytic number theory to modern arithmetic geometry, the book develops a unified perspective in which Ramanujan's formulae appear as analytic shadows of a deeper arithmetic spectral structure.While making no claim to resolve the Riemann Hypothesis, it argues that any successful theory of the zeta function must explain the profound dualities and spectral phenomena already visible in Ramanujan's work.Suitable for advanced students, researchers, and mathematicians interested in zeta functions, modular forms, arithmetic geometry, and the hidden structure of the prime numbers. N° de réf. du vendeur 9798240952326
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Ramanujan, Zeta Functions, and the Hidden Spectrum of the Primes
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Taschenbuch. Etat : Neu. Ramanujan, Zeta Functions, and the Hidden Spectrum of the Primes | Sandi Setiawan | Taschenbuch | Englisch | 2026 | Self Publishing LLC | EAN 9798240952326 | Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, 36244 Bad Hersfeld, gpsr[at]libri[dot]de | Anbieter: preigu Print on Demand. N° de réf. du vendeur 135695591
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