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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Eisenstein Series and Automorphic Representations - With Applications in String Theory (Hardcover)
Loot Price: R2,358
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Eisenstein Series and Automorphic Representations - With Applications in String Theory (Hardcover)
Series: Cambridge Studies in Advanced Mathematics
Expected to ship within 12 - 17 working days
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This introduction to automorphic forms on adelic groups G(A)
emphasises the role of representation theory. The exposition is
driven by examples, and collects and extends many results scattered
throughout the literature, in particular the Langlands constant
term formula for Eisenstein series on G(A) as well as the
Casselman-Shalika formula for the p-adic spherical Whittaker
function. This book also covers more advanced topics such as
spherical Hecke algebras and automorphic L-functions. Many of these
mathematical results have natural interpretations in string theory,
and so some basic concepts of string theory are introduced with an
emphasis on connections with automorphic forms. Throughout the book
special attention is paid to small automorphic representations,
which are of particular importance in string theory but are also of
independent mathematical interest. Numerous open questions and
conjectures, partially motivated by physics, are included to prompt
the reader's own research.
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