Detchat Samart

activity

20122026

most citedMahler measures as linear combinations of

L

-values of multiple modular forms

10 citations · 37 across the 15 of their papers we have counts for

collaborators

Showing 2015Show all

2 papers · 1 filter

math.NT2015

Feynman integrals and critical modular $L$ -values

Detchat Samart

Broadhurst conjectured that the Feynman integral associated to the polynomial corresponding to $t = 1$ in the one-parameter family $(1 + x_{1} + x_{2} + x_{3}) (1 + x_{1}^{- 1} + x_{2}^{- 1} + x_{3}^{- 1}) - t$ i…

math.NT2015★ 7 cited

Further explorations of Boyd's conjectures and a conductor 21 elliptic curve

Matilde Lalín, Detchat Samart, Wadim Zudilin

We prove that the (logarithmic) Mahler measure $m (P)$ of $P (x, y) = x + 1/ x + y + 1/ y + 3$ is equal to the $L$ -value $2 L^{'} (E, 0)$ attached to the elliptic curve $E : P (x, y) = 0$ of conductor 21. In…

Feynman integrals and critical modular L-values

Further explorations of Boyd's conjectures and a conductor 21 elliptic curve

Feynman integrals and critical modular $L$ -values