Articles liés à Ramanujan, Zeta Functions, and the Hidden Spectrum...

Ramanujan, Zeta Functions, and the Hidden Spectrum of the Primes - Couverture souple

Setiawan, Sandi

 
9798240952326: Ramanujan, Zeta Functions, and the Hidden Spectrum of the Primes
Couverture souple
ISBN 13 : 9798240952326
Editeur : Self Publishing LLC, 2026

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Self Publishing LLC
Date d'édition
2026
Langue
anglais
ISBN 13 
9798240952326
Reliure
Broché
Nombre de pages
132
Coordonnées du fabricant
non disponible
Personne responsable
gpsr@libri.de
gpsr@libri.de

Europaallee 1
Bad Hersfeld
36244
Allemagne