WebThe theta constant θ 1/2,1/2 (τ,0) is identically zero, but the other three can be nonzero. References. Igusa, Jun-ichi (1972), Theta functions., Die Grundlehren der mathematischen Wissenschaften, vol. 194, New York-Heidelberg: Springer-Verlag, MR 0325625 WebDec 2, 2013 · Jun-ichi Igusa, a pioneering researcher in number theory and algebraic geometry who developed what later became known as Igusa local zeta functions, Igusa curves, Igusa cusp forms, and other important mathematics concepts, died on Nov. 24 at a Baltimore nursing home. He was 89. Jun-ichi Igusa. Igusa was a professor of …
Jun-ichi Igusa, noted mathematician and JHU researcher, dies at 89
WebThe theory of theta functions has a long history; for this, we refer A. Krazer and W. Wirtinger the reader to an encyclopedia article by ("Sources" [9]). We shall restrict ourselves to postwar, i. e. , after 1945, periods. Around 1948/49, F. Conforto, c. L. Siegel, A. Well reconsidered the main existence theorems of theta functions and found natural proofs for … Webexplicit description of theta functions due to J. Igusa(cf. [14] or [27]) and identify the theta functions with the smooth functions on H(n;m) R satisfying some conditions. The results of this section will be used later. In Section 1.3, using the Mackey decomposition of a locally compact group(cf.[24]), we introduce the induced representations ... hungama.com movie
Harmonic analysis and theta-functions - Project Euclid
Webpolynomial function on X, and Φ is in the Schwartz-Bruhat space S(x)ofX,then Z Φ(s)= X f(x) s K Φ(x) dx, Re(s) > 0 is called a local zeta function. If Φ is the standard function on X, i.e., exp(−πtxx) for K = R,exp(−2πtx¯x)forK = C, and the characteristic function of On K for a p-adic field K with O K as its maximal compact subring ... http://webdoc.sub.gwdg.de/ebook/serien/e/mpi_mathematik/2008/108.pdf Web[HKS]Michael Harris, Stephen Kudla, William Sweet, Theta dichotomy for unitary groups. JAMS 9 (1996), 941-1004. [Ig]Jun-Ichi Igusa, Theta functions. [IP]Atsushi Ichino, Kartik Prasanna, Periods of quaternionic Shimura varieties. I. Preprint. [Ku]Stephen Kudla, Notes on the local theta correspondence. hungama youtube