Results 31 to 40 of about 432 (42)
Feynman integrals and critical modular $L$-values
, 2016 Broadhurst conjectured that the Feynman integral associated to the polynomial corresponding to $t=1$ in the one-parameter family $(1+x_1+x_2+x_3)(1+x_1^{-1}+x_2^{-1}+x_3^{-1})-t$ is expressible in terms of $L(f,2),$ where $f$ is a cusp form of weight $3$
Samart, Detchat
core +1 more source
Distribution of modular symbols for compact surfaces
, 2003 We prove that the modular symbols appropriately normalized and ordered have an asymptotical normal distribution for all cocompact subgroups of SL_2(R).
Risager, Morten Skarsholm
core +1 more source
On Greenberg's $L$-invariant of the symmetric sixth power of an ordinary cusp form
, 2010 We derive a formula for Greenberg's $L$-invariant of Tate twists of the symmetric sixth power of an ordinary non-CM cuspidal newform of weight $\geq4$, under some technical assumptions.
Benois +11 more
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Multiple period integrals and cohomology
, 2015 This work gives a version of the Eichler-Shimura isomorphism with a non-abelian $H^1$ in group cohomology. Manin has given a map from vectors of cusp forms to a noncommutative cohomology set by means of iterated integrals.
Bruggeman, Roelof, Choie, YoungJu
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Totally odd depth-graded multiple zeta values and period polynomials
, 2017 Inspired by a paper of Tasaka, we study the relations between totally odd, motivic depth-graded multiple zeta values. Our main objective is to determine the rank of the matrix $C_{N,r}$ defined by Brown. We will give new proofs for (conjecturally optimal)
Dietze, Charlotte +3 more
core
On coefficients of Poincaré series and single-valued periods of modular forms. [PDF]
Res Math Sci, 2020 Fonseca TJ.
europepmc +1 more source
Hecke operators on period functions for the full modular group
, 2004 Matrix representations of Hecke operators on classical holomorphical cusp forms and corresponding period polynomials are well known. In this article we define Hecke operators on period functions and show that they correspond to the Hecke operators on ...
Mühlenbruch, Tobias
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On effective determination of symmetric-square lifts
Open Mathematics, 2014 Sun Qingfeng
doaj +1 more source
Rationality for isobaric automorphic representations: the CM-case. [PDF]
Mon Hefte Math, 2018 Grobner H.
europepmc +1 more source
Fourier expansion along geodesics on Riemann surfaces
Open Mathematics, 2014 Deitmar Anton
doaj +1 more source