It is really a big whirlwind tour of the whole mathematical physics, with Monstrous Moonshine explained on the top (alone the chapters on Lie theory, modular forms and quantum field theoy are pure gold, every p
A. A. Panchishkin 155 Accesses Explore all metrics Abstract In this survey there are included results of recent years, concerning the theory of modular forms and representations connected with them of adele groups and Galois groups. There is discussed the hypothetical principle of functoriality ...
the theta correspondence and harmonic forms. ii. math. ann. 277 (2), 267–314 (1987) google scholar kudla, s., millson, j.: intersection numbers of cycles on locally symmetric spaces and fourier coefficients of holomorphic modular forms in several complex variables. publications mathé...
In this section, we take the opportunity to show how our methods also give readily the well-known chiral measure for the bosonic string, by direct evaluation and without appealing this time to Igusa's classification of genus 2 modular forms. In Section 8, we verify the consistency of the ...
For quite some time it has been known that the j-invariant has importance far beyond the setting of automorphic forms and the uniformization theorem as applied to . For example, in 1937 T. Schneider initiated the study of the transcendence properties of j(z). Specifically, Schneider proved tha...
Maass forms Weierstrass functions Modular forms 1. Introduction Harmonic weak Maass forms are real-analytic generalizations of classical modular forms with applications in combinatorics, number theory, as well as representation theory and physics (see for instance [6] and the references therein). They ...
Description: This book provides an introduction, with applications, to three interconnected mathematical topics: zeta functions in their rich variety; modular forms; vertex operator algebras. Applications of the material to physics are presented.
This is due to many applications of Jacobi forms in arithmetic, topology, algebraic and differential geometry, mathematical and theoretical physics, in the theory of Lie algebras, etc. The list of mentioned subjects shows that my course might be useful for master and Ph.D. students working in ...
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Additionally, we extend our results to higher dimensions, where Hilbert modular forms yield higher-dimensionalk-spherical measures.Springer Berlin HeidelbergCommunications in Mathematical PhysicsClaudia Alfeshttps://ror.org/02hpadn98grid.7491.b0000 0001 0944 9128Fakultät für MathematikUniversität ...