{"product_id":"ramanujan-zeta-functions-and-the-hidden-spectrum-of-the-primes-9798240975295","title":"Ramanujan, Zeta Functions, and the Hidden Spectrum of the Primes","description":"\u003cp\u003eMore than a century after Srinivasa Ramanujan's discoveries, his extraordinary identities continue to illuminate some of the deepest structures in mathematics.\u003c\/p\u003e\u003cp\u003eThis 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.\u003c\/p\u003e\u003cp\u003eMoving 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.\u003c\/p\u003e\u003cp\u003eWhile 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.\u003c\/p\u003e\u003cp\u003eSuitable for advanced students, researchers, and mathematicians interested in zeta functions, modular forms, arithmetic geometry, and the hidden structure of the prime numbers.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Self Publishing LLC\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 06\/18\/2026\u003cbr\u003e\u003cb\u003eISBN:\u003c\/b\u003e 9798240975295\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 132\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.33lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 11.00h x 8.50w x 0.38d","brand":"Sandi Setiawan","offers":[{"title":"Default Title","offer_id":52774342820021,"sku":"9798240975295","price":28.04,"currency_code":"USD","in_stock":true}],"url":"https:\/\/pastforward.org\/products\/ramanujan-zeta-functions-and-the-hidden-spectrum-of-the-primes-9798240975295","provider":"Past Forward","version":"1.0","type":"link"}