Identities between Modular Graph Forms

C.L. Siegel, “On Advanced Analytic Number Theory”, Tata Institute of Fundamental Research Lecture Notes series (1961)

1961

Earlier work this paper cites.

H. Maass, Lectures on Modular Functions of One Complex Variable

1964

Earlier work this paper cites.

J. Fay, Theta Functions on Riemann surfaces

1973

Earlier work this paper cites.

A. Weil “Elliptic functions according to Eisenstein and Kronecker.” Ergebnisse der Mathematik, 88, Springer 1977

1977

Earlier work this paper cites.

A. Terras, “Harmonic analysis on symmetric spaces and applications I”, Springer, New York-Berlin, 1985

1985

Earlier work this paper cites.

E. D’Hoker and D. H. Phong, “The Geometry of String Perturbation Theory,” Rev. Mod. Phys. 60

1988

Earlier work this paper cites.

D. Zagier, “The Bloch-Wigner-Ramakrishnan polylogarithm function”, Math. Ann. 286 (1990), no. 1-3, 613?624

1990

Earlier work this paper cites.

M. B. Green and P. Vanhove, “The Low-energy expansion of the one loop type II superstring amplitude,” Phys. Rev. D 61

2000

Cited alongside, same era.

W. Pribitkin, Eisenstein series and Eichler integrals, Analysis, Geoemry, Number Theory: The Mathematics of Leon Ehrenpreis, eds. E. L. Grinberg et al., Contemp. Math. 251, Amer. Math. Soc., Providence, RI, 2000, pp 463-467

2000

Cited alongside, same era.

F. Brown, “Polylogarithmes multiples uniformes en une variable”, C. R. Acad. Sci. Paris, Ser. I 338 (2004) 527-532

2004

Cited alongside, same era.

D. Zagier, ”The 1-2-3 of Modular Forms: Lectures at a Summer School in Nordfjordeid, Norway ” (ed. K. Ranestad) Universitext, Springer-Verlag, Berlin-Heidelberg-New York (2008)

2008

Cited alongside, same era.

M. B. Green, J. G. Russo and P. Vanhove, “Low energy expansion of the four-particle genus-one amplitude in type II superstring theory,” JHEP 0802

S. Stieberger, “Closed superstring amplitudes, single-valued multiple zeta values and the Deligne associator,” J. Phys. A 47

Original

2014

Later among the works it cites.

S. Stieberger and T. R. Taylor, “Closed String Amplitudes as Single-Valued Open String Amplitudes,” Nucl. Phys. B 881

Original

2014

Later among the works it cites.

O. Schnetz, “Graphical Functions and Single-Valued Multiple Polylogarithms,” Commun. Num. Theor. Phys. 08

Original

2014

Later among the works it cites.

F. Brown, “Single-valued Motivic Periods and Multiple Zeta Values,” SIGMA 2

Original

2014

Later among the works it cites.

P. Deligne, Letter to E. D’Hoker (14 September 2015)

2015

Later among the works it cites.