1. CMB 2007 (vol 50 pp. 234)
 Kuo, Wentang

A Remark on a Modular Analogue of the SatoTate Conjecture
The original SatoTate Conjecture concerns the angle distribution
of the eigenvalues arising from nonCM elliptic curves. In this paper,
we formulate a modular analogue of the SatoTate Conjecture and prove
that the angles arising from nonCM holomorphic Hecke
eigenforms with nontrivial central characters are not distributed
with respect to the SateTate measure
for nonCM elliptic curves. Furthermore, under a reasonable conjecture,
we prove that the expected distribution is uniform.
Keywords:$L$functions, Elliptic curves, SatoTate Categories:11F03, 11F25 

2. CMB 2001 (vol 44 pp. 385)
 Ballantine, Cristina M.

A Hypergraph with Commuting Partial Laplacians
Let $F$ be a totally real number field and let $\GL_{n}$ be the
general linear group of rank $n$ over $F$. Let $\mathfrak{p}$
be a prime ideal of $F$ and $F_{\mathfrak{p}}$ the completion of $F$
with respect to the valuation induced by $\mathfrak{p}$. We will
consider a finite quotient of the affine building of the group
$\GL_{n}$ over the field $F_{\mathfrak{p}}$. We will view this object
as a hypergraph and find a set of commuting operators whose sum will
be the usual adjacency operator of the graph underlying the hypergraph.
Keywords:Hecke operators, buildings Categories:11F25, 20F32 

3. CMB 2001 (vol 44 pp. 282)
 Lee, Min Ho; Myung, Hyo Chul

Hecke Operators on Jacobilike Forms
Jacobilike forms for a discrete subgroup $\G \subset \SL(2,\mbb R)$
are formal power series with coefficients in the space of functions on
the Poincar\'e upper half plane satisfying a certain functional
equation, and they correspond to sequences of certain modular forms.
We introduce Hecke operators acting on the space of Jacobilike forms
and obtain an explicit formula for such an action in terms of modular
forms. We also prove that those Hecke operator actions on Jacobilike
forms are compatible with the usual Hecke operator actions on modular
forms.
Categories:11F25, 11F12 

4. CMB 1999 (vol 42 pp. 129)
 Baker, Andrew

Hecke Operations and the Adams $E_2$Term Based on Elliptic Cohomology
Hecke operators are used to investigate part of the $\E_2$term of
the Adams spectral sequence based on elliptic homology. The main
result is a derivation of $\Ext^1$ which combines use of classical
Hecke operators and $p$adic Hecke operators due to Serre.
Keywords:Adams spectral sequence, elliptic cohomology, Hecke operators Categories:55N20, 55N22, 55T15, 11F11, 11F25 
