Robert Stanley Rankin

Modularity of the Rankin

In memory of my father Sundaram Ramakrishnan (SRK) Contents 1. Introduction 2. Notation and preliminaries 3. Construction of ⊠ : A(GL(2)) × A(GL(2)) → A(GL(4)) 3.1. Relevant objects and the strategy 3.2. Weak to strong lifting, and the cuspidality criterion 3.3. Triple product L-functions: local factors and holomorphy 3.4. Boundedness in vertical strips 3.5. Modularity in the good case 3.6. A d...

Archimedean Rankin-Selberg Integrals

The paper gives complete proofs of the properties of the RankinSelberg integrals for the group GL(n,R) and GL(n,C).

Basic Rankin-selberg

We present the simplest possible example of the Rankin-Selberg method, namely for a pair of holomorphic modular forms for SL(2,Z), treated independently in 1939 by Rankin and 1940 by Selberg. (Rankin has remarked that the general idea came from his advisor and mentor, Ingham.) We also recall a proof of the analytic continuation of the relevant Eisenstein series. That is, we consider the simples...

Using Stanley Cavell

Stanley J. Korsmeyer

The scientific community has been saddened and diminished by the loss of Stanley J. Korsmeyer, M.D., who died of lung cancer last month at the age of 54. Over the last 25 years, Korsmeyer had been an international leader in the fields of cancer biology and programmed cell death (apoptosis). Through his studies of apoptosis, Korsmeyer helped revolutionize our concepts of carcinogenesis. Korsmeye...