Results 21 to 30 of about 433 (43)

Periods, subconvexity of L-functions and representation theory

, 2005
We describe a new method to estimate the trilinear period on automorphic representations of PGL(2,R). Such a period gives rise to a special value of the triple L-function.
Bernstein, Joseph, Reznikov, Andre
core   +1 more source

Eichler–Selberg relations for singular moduli

Forum of Mathematics, Sigma
The Eichler–Selberg trace formula expresses the trace of Hecke operators on spaces of cusp forms as weighted sums of Hurwitz–Kronecker class numbers. We extend this formula to a natural class of relations for traces of singular moduli, where one views ...
Yuqi Deng, Toshiki Matsusaka, Ken Ono
doaj   +1 more source

An algebraic property of Hecke operators and two indefinite theta series

, 2013
We prove an algebraic property of the elements defining Hecke operators on period polynomials associated with modular forms, which implies that the pairing on period polynomials corresponding to the Petersson scalar product of modular forms is Hecke ...
Pasol, Vicentiu, Popa, Alexandru A.
core   +1 more source

Eisenstein Cohomology and ratios of critical values of Rankin-Selberg L-functions

, 2011
This is an announcement of results on rank-one Eisenstein cohomology of GL(N), with N > 1 an odd integer, and algebraicity theorems for ratios of successive critical values of certain Rankin-Selberg L-functions for GL(n) x GL(n') when n is even and n' is
Harder, Guenter, Raghuram, A.
core   +1 more source

Shintani Cocycles on $\GL_{n}$

, 2007
The aim of this paper is to define an n-1-cocycle $\sigma$ on $\GL_{n}(\Q)$ with values in a certain space $\hD$ of distributions on $\A_f^{n}\setminus\{0\}$. Here $\A_f$ denotes the ring of finite ad\`{e}les of $\Q$, and the distributions take values in
Hill, Richard
core   +1 more source

Ratios of periods for tensor product motives [PDF]

, 2013
In this article we prove some period relations for the ratio of Deligne's periods for certain tensor product motives. These period relations give a motivic interpretation for certain algebraicity results for ratios of successive critical values for ...
Bhagwat, Chandrasheel, Raghuram, A.
core   +2 more sources

Eisenstein Cohomology for $\mathrm {GL}_N$ and the special values of Rankin–Selberg L-functions over a totally imaginary number field

Forum of Mathematics, Sigma
This article presents new rationality results for the ratios of critical values of Rankin–Selberg L-functions of $\mathrm {GL}(n) \times \mathrm {GL}(n')$ over a totally imaginary field $F.$ The proof is based on a cohomological ...
A. Raghuram
doaj   +1 more source

Perfect forms over totally real number fields [PDF]

, 2009
A rational positive-definite quadratic form is perfect if it can be reconstructed from the knowledge of its minimal nonzero value m and the finite set of integral vectors v such that f(v) = m.
Gunnells, Paul E., Yasaki, Dan
core   +2 more sources

The distribution of values of the Poincare pairing for hyperbolic Riemann surfaces

, 2004
For a cocompact group of SL_2(R) we fix a non-zero harmonic 1-form \a. We normalize and order the values of the Poincare pairing according to the length of the corresponding closed geodesic l(gamma).
Petridis, Yiannis N., Risager, Morten Skarsholm   +1 more
core   +2 more sources

Non-commutative p-adic L-functions for supersingular primes

, 2012
Let E/Q be an elliptic curve with good supersingular reduction at p with a_p(E)=0. We give a conjecture on the existence of analytic plus and minus p-adic L-functions of E over the Zp-cyclotomic extension of a finite Galois extension of Q where p is ...
ANTONIO LEI, Haran S., Serre J.-P.
core   +1 more source