Results 31 to 40 of about 461 (64)
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
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Nonvanishing of twists of $L$-functions attached to Hilbert modular forms
, 2014 We describe algorithms for computing central values of twists of $L$-functions associated to Hilbert modular forms, carry out such computations for a number of examples, and compare the results of these computations to some heuristics and predictions ...
Ryan, Nathan C. +2 more
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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
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The meta-abelian elliptic KZB associator and periods of Eisenstein series
, 2017 We compute the image of Enriquez’ elliptic KZB associator in the (maximal) meta-abelian quotient of the fundamental Lie algebra of a once-punctured elliptic curve.Our main result is an explicit formula for this image in terms of Eichler integrals of ...
Matthes, N.
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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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Modular forms and elliptic curves over the field of fifth roots of unity [PDF]
, 2010 Let F be the cyclotomic field of fifth roots of unity. We computationally investigate modularity of elliptic curves over F.Comment: Added appendix by Mark Watkins, who found an elliptic curve missing from our ...
Gunnells, Paul E. +2 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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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
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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. +1 more
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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
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