Fetching the paper…
Reading the bibliography…
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 $3$ and level $15$.
E. Grosswald, Die Werte der Riemannschen Zetafunktion an ungeraden Argumentstellen
1970
Earlier work this paper cites.
B. C. Berndt, Analytic Eisenstein series, theta-functions, and series relations in the spirit of Ramanujan
1978
Earlier work this paper cites.
P. Deligne, Valeurs de Fonctions L L et Périodes d’Intégrales
1979
Earlier work this paper cites.
D. R. Morrison, On K 3 K3 surfaces with large Picard number
1984
Earlier work this paper cites.
J. Stienstra and F. Beukers, On the Picard-Fuchs equation and the formal Brauer group of certain elliptic K 3 K3 -surfaces
1985
Earlier work this paper cites.
D. Blasius, On the critical values of Hecke L L -series
1986
Earlier work this paper cites.
J. Coates and C. G. Schmidt, Iwasawa theory for the symmetric square of an elliptic curve
1987
Earlier work this paper cites.
C. Peters, J. Top and M. van der Vlugt, The Hasse zeta function of a K 3 K3 surface related to the number of words of weight 5 in the Melas codes
1992
Earlier work this paper cites.
R. Livné, Motivic orthogonal two-dimensional representations of Gal ( ℚ ¯ / ℚ ) \Gal(\overline{\mathbb{Q}}/\mathbb{Q})
1995
Earlier work this paper cites.
H. Verrill, Root lattices and pencils of varieties
1996
Earlier work this paper cites.
N. Yui and D. Zagier, On the singular values of Weber modular functions
1997
Earlier work this paper cites.
B. C. Berndt, Ramanujan’s Notebooks Part V
1998
Cited alongside, same era.
A. van der Poorten and K. S. Williams, Values of the Dedekind eta function at quadratic irrationalities
1999
Cited alongside, same era.
C. F. Doran, Picard-Fuchs uniformization: modularity of the mirror map and mirror-moonshine
2000
Cited alongside, same era.
C. J. Smyth, An explicit formula for the Mahler measure of a family of 3 3 -variable polynomials
2002
Cited alongside, same era.
D. Boyd, D. Lind, F. Rodriguez Villegas and C. Deninger, The many aspects of Mahler’s measure
2003
Cited alongside, same era.
L. Long, On Shioda-Inose structure of one-parameter families of K 3 K3 surfaces
2004
Cited alongside, same era.
D. H. Bailey, J. M. Borwein, D. Broadhurst and M. L. Glasser, Elliptic integral evaluations of Bessel moments and applications
2008
Later among the works it cites.
M. J. Bertin, Mesure de Mahler d’hypersurfaces K 3 K3
2008
Later among the works it cites.
S. Gun, M. R. Murty and P. Rath, Transcendental values of certain Eichler integrals
2011
Later among the works it cites.
M. Rogers, Hypergeometric formulas for lattice sums and Mahler measures
2011
Later among the works it cites.
M. J. Bertin, A Mahler measure of a K 3 K3 surface expressed as a Dirichlet L L -series
2012
Later among the works it cites.
J. M. Borwein, A. Straub, J. Wan and W. Zudilin, Densities of short uniform random walks
2012
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
H. Muzaffar and K. S. Williams, Evaluation of Weber’s functions at quadratic irrationalities
2004
Cited alongside, same era.
K. Ono, The web of modularity: arithmetic of the coefficients of modular forms and q-series
2004
Cited alongside, same era.
A. B. Goncharov, Regulators
2005
Cited alongside, same era.
M. J. Bertin, Mahler’s measure and L-series of K3 hypersurfaces
2006
Cited alongside, same era.
S. Bloch, M. Kerr and P. Vanhove, A Feynman integral via higher normal functions
Cited in the paper.
D. Broadhurst, Empirical evaluations of Feynman integrals as L L -functions of modular forms with weight > 2 >2
Cited in the paper.
Later among the works it cites.
A. Mellit, Elliptic dilogarithms and parallel lines
2012
Later among the works it cites.
D. Broadhurst, Multiple zeta values and modular forms in quantum field theory
2013
Later among the works it cites.
D. Samart, Three-variable Mahler measures and special values of modular and Dirichlet L L -series
2013
Later among the works it cites.
S. Bloch and P. Vanhove, The elliptic dilogarithm for the sunset graph
2015
Closest in time.