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19922023
most citedThe Multiple Zeta Value Data Mine

343 citations · 1.3k across the 39 of their papers we have counts for

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hep-th2022★ 1 cited

Multivariate elliptic kites and tetrahedral tadpoles

David Broadhurst

This work deals with two types of Feynman integrals in perturbative quantum field theory: the 2-loop 2-point kite, with 5 arbitrary internal masses, and its completion by a sixth p…

hep-th2022★ 1 cited

Taming a resurgent ultra-violet renormalon

Michael Borinsky, David Broadhurst

Perturbative expansions in quantum field theory diverge for at least two reasons: the number of Feynman diagrams increases dramatically with the loop number and the process of reno…

hep-th2022★ 23 cited

Resonant resurgent asymptotics from quantum field theory

Michael Borinsky, David Broadhurst

We perform an all-order resurgence analysis of a quantum field theory renormalon that contributes to an anomalous dimension in six-dimensional scalar theory and is governed b…

hep-th2016★ 5 cited

Massless scalar Feynman diagrams: five loops and beyond

David J. Broadhurst

Several powerful techniques for evaluating massless scalar Feynman diagrams are developed, viz: the solution of recurrence relations to evaluate diagrams with arbitrary numbers of…

hep-th2015★ 1 cited

Tests of conjectures on multiple Watson values

David Broadhurst

I define multiple Watson values (MWVs) as iterated integrals, on the interval , of the 6 differential forms , , , $U=-d\log(…

hep-th2015★ 2 cited

Multiple Landen values and the tribonacci numbers

David Broadhurst

Multiple Landen values (MLVs) are defined as iterated integrals on the interval of the differential forms , , and $G=-d\lo…