Results 11 to 20 of about 432 (42)

Shintani and Shimura lifts of cusp forms on certain arithmetic groups and their applications

Open Mathematics, 2017
For an odd and squarefree level N, Kohnen proved that there is a canonically defined subspace Sκ+12new(N)⊂Sκ+12(N),andSκ+12new(N)andS2knew(N)$S_{\kappa+\frac{1}{2}}^{\mathrm{n}\mathrm{e}\mathrm{w}}(N)\subset S_{\kappa+\frac{1}{2}}(N),\,\,{\text{and ...
Choi SoYoung, Kim Chang Heon
doaj   +1 more source

ZETA ELEMENTS IN DEPTH 3 AND THE FUNDAMENTAL LIE ALGEBRA OF THE INFINITESIMAL TATE CURVE

Forum of Mathematics, Sigma, 2017
This paper draws connections between the double shuffle equations and structure of associators; Hain and Matsumoto’s universal mixed elliptic motives; and the Rankin–Selberg method for modular forms for
FRANCIS BROWN
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On the Mahler measure of hyperelliptic families

, 2017
We prove Boyd’s “unexpected coincidence” of the Mahler measures for two families of two-variate polynomials defining curves of genus 2. We further equate the same measures to the Mahler measures of polynomials y³ − y + x³ − x + kxy whose zero loci define
Bertin, M., Zudilin, W.
core   +2 more sources

EULER SYSTEMS FOR HILBERT MODULAR SURFACES

Forum of Mathematics, Sigma, 2018
We construct an Euler system—a compatible family of global cohomology classes—for the Galois representations appearing in the geometry of Hilbert modular surfaces.
ANTONIO LEI, DAVID LOEFFLER, SARAH LIVIA ZERBES   +2 more
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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

Multiplicity one for certain paramodular forms of genus two

, 2017
We show that certain paramodular cuspidal automorphic irreducible representations of $\mathrm{GSp}(4,\mathbb{A}_\mathbb{Q})$, which are not CAP, are globally generic.
Rösner, Mirko, Weissauer, Rainer
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

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

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

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