Results 11 to 20 of about 433 (43)

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

open access: yesOpen 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

open access: yesForum 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
doaj   +1 more source

Period integrals and Rankin-Selberg L-functions on GL(n) [PDF]

open access: yes, 2011
We compute the second moment of a certain family of Rankin-Selberg $L$-functions L(f x g, 1/2) where f and g are Hecke-Maass cusp forms on GL(n). Our bound is as strong as the Lindel\"of hypothesis on average, and recovers individually the convexity ...
Blomer, Valentin
core   +2 more sources

EULER SYSTEMS FOR HILBERT MODULAR SURFACES

open access: yesForum 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   +2 more
doaj   +1 more source

Determination of $GL(3)$ Hecke-Maass forms from twisted central values [PDF]

open access: yes, 2014
Suppose $\pi_1$ and $\pi_2$ are two Hecke-Maass cusp forms for $SL(3,\mathbb{Z})$ such that for all primitive character $\chi$ we have $$ L(\tfrac{1}{2},\pi_1\otimes\chi)=L(\tfrac{1}{2},\pi_2\otimes\chi). $$ Then we show that $\pi_1=\pi_2$.Comment: First
Munshi, Ritabrata, Sengupta, Jyoti
core   +1 more source

On the Mahler measure of hyperelliptic families

open access: yes, 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

Multiplicity one for certain paramodular forms of genus two

open access: yes, 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

A note on p-adic Rankin--Selberg L-functions [PDF]

open access: yes, 2017
We prove an interpolation formula for the values of certain $p$-adic Rankin--Selberg $L$-functions associated to non-ordinary modular forms.Comment: Updated version, with minor corrections. To appear in Canad.
Loeffler, David
core   +2 more sources

Semi-regular continued fractions and an exact formula for the moments of the Minkowski question mark function

open access: yes, 2009
This paper continues investigations on the integral transforms of the Minkowski question mark function. In this work we finally establish the long-sought formula for the moments, which does not explicitly involve regular continued fractions, though it ...
F. Ryde   +11 more
core   +1 more source

Torsion in the cohomology of congruence subgroups of SL(4,Z) and Galois representations [PDF]

open access: yes, 2010
We report on the computation of torsion in certain homology theories of congruence subgroups of SL(4,Z). Among these are the usual group cohomology, the Tate-Farrell cohomology, and the homology of the sharbly complex.
Ash, Avner   +2 more
core   +2 more sources

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