Titlebook: Number Theory and Modular Forms; Papers in Memory of Bruce Berndt,Ken Ono Book 2003 Springer-Verlag US 2003 Lattice.Prime.continued fracti

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Number Theory and Modular Forms978-1-4757-6044-6Series ISSN 1389-2177 Series E-ISSN 2197-795X

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An ,-Function of Degree 27 for Spin,,This paper studies a Rankin-Selberg integral for a degree 27 .-function on Spin(9). It makes use of an Eisenstein series on the exceptional group ...

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,Poincaré Series and Hilbert Modular Forms,In this paper, we bound the square moment of the linear form in the Fourier coefficients of Hilbert modular forms by means of Poincaré series, and obtain sharp estimate on the critical line for the fourth moment of L-functions associated with Hilbert cusp forms which are primitive Hecke eigenforms.

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A Note on Base Change, Identities Involving ,(,), and a Congruence of Ramanujan,We use the theory of quadratic base change to derive some new identities involving the Ramanujan .-function, and show how the Ramanujan congruence .(.) ≡ ..(n) (mod 691) follows.