• [1] A. A. Beĭlinson, Higher regulators of modular curves, Applications of algebraic 𝐾-theory to algebraic geometry and number theory, Part I, II (Boulder, Colo., 1983) Contemp. Math., vol. 55, Amer. Math. Soc., Providence, RI, 1986, pp. 1–34. MR 862627, https://doi.org/10.1090/conm/055.1/862627
• [2] F. Brown Modular Values and the relative completion of the fundamental group of M1,1, 1407.5167
• [3] François Brunault, Valeur en 2 de fonctions 𝐿 de formes modulaires de poids 2: théorème de Beilinson explicite, Bull. Soc. Math. France 135 (2007), no. 2, 215–246 (French, with English and French summaries). MR 2430191, https://doi.org/10.24033/bsmf.2532
• [4] Henri Cohen and Fredrik Strömberg, Modular forms, Graduate Studies in Mathematics, vol. 179, American Mathematical Society, Providence, RI, 2017. A classical approach. MR 3675870
• [5] P. Deligne, Valeurs de fonctions 𝐿 et périodes d’intégrales, Automorphic forms, representations and 𝐿-functions (Proc. Sympos. Pure Math., Oregon State Univ., Corvallis, Ore., 1977) Proc. Sympos. Pure Math., XXXIII, Amer. Math. Soc., Providence, R.I., 1979, pp. 313–346 (French). With an appendix by N. Koblitz and A. Ogus. MR 546622
• [6] Nikolaos Diamantis and Cormac O’Sullivan, Kernels of 𝐿-functions of cusp forms, Math. Ann. 346 (2010), no. 4, 897–929. MR 2587096, https://doi.org/10.1007/s00208-009-0419-4
• [7] Nikolaos Diamantis and Cormac O’Sullivan, Kernels for products of 𝐿-functions, Algebra Number Theory 7 (2013), no. 8, 1883–1917. MR 3134038, https://doi.org/10.2140/ant.2013.7.1883
• [8] M. Kıral, Shifted Divisor Sum Dirichlet Series, preprint
• [9] N. I. Koblic, Non-integrality of the periods of cusp forms outside the critical strip, Funkcional. Anal. i Priložen. 9 (1975), no. 3, 52–55 (Russian). MR 0404144
• [10] Ju. I. Manin, Periods of cusp forms, and 𝑝-adic Hecke series, Mat. Sb. (N.S.) 92(134) (1973), 378–401, 503 (Russian). MR 0345909
• [11] Mathew Rogers and Wadim Zudilin, From 𝐿-series of elliptic curves to Mahler measures, Compos. Math. 148 (2012), no. 2, 385–414. MR 2904192, https://doi.org/10.1112/S0010437X11007342
• [12] Goro Shimura, The special values of the zeta functions associated with cusp forms, Comm. Pure Appl. Math. 29 (1976), no. 6, 783–804. MR 434962, https://doi.org/10.1002/cpa.3160290618
• [13] Maxim Kontsevich and Don Zagier, Periods, Mathematics unlimited—2001 and beyond, Springer, Berlin, 2001, pp. 771–808. MR 1852188
• [14] Vicenţiu Paşol and Alexandru A. Popa, Modular forms and period polynomials, Proc. Lond. Math. Soc. (3) 107 (2013), no. 4, 713–743. MR 3108829, https://doi.org/10.1112/plms/pdt003
• [15] D. Zagier, Modular forms whose Fourier coefficients involve zeta-functions of quadratic fields, Modular functions of one variable, VI (Proc. Second Internat. Conf., Univ. Bonn, Bonn, 1976) Springer, Berlin, 1977, pp. 105–169. Lecture Notes in Math., Vol. 627. MR 0485703

References

[1]

A. A. Beĭlinson, Higher regulators of modular curves, Applications of algebraic -theory to algebraic geometry and number theory, Part I, II (Boulder, Colo., 1983) Contemp. Math., vol. 55, Amer. Math. Soc., Providence, RI, 1986, pp. 1-34. MR 862627, https://doi.org/10.1090/conm/055.1/862627

[2]

F. Brown Modular Values and the relative completion of the fundamental group of M1,1, 1407.5167

[3]

François Brunault, Valeur en 2 de fonctions de formes modulaires de poids 2: théorème de Beilinson explicite, Bull. Soc. Math. France 135 (2007), no. 2, 215-246 (French, with English and French summaries). MR 2430191, https://doi.org/10.24033/bsmf.2532

[4]

Henri Cohen and Fredrik Strömberg, Modular forms: A classical approach, Graduate Studies in Mathematics, vol. 179, American Mathematical Society, Providence, RI, 2017. MR 3675870

[5]

P. Deligne, Valeurs de fonctions et périodes d'intégrales, Automorphic forms, representations and -functions (Proc. Sympos. Pure Math., Oregon State Univ., Corvallis, Ore., 1977) Proc. Sympos. Pure Math., XXXIII, Amer. Math. Soc., Providence, R.I., 1979, pp. 313-346 (French). With an appendix by N. Koblitz and A. Ogus. MR 546622

[6]

Nikolaos Diamantis and Cormac O'Sullivan, Kernels of -functions of cusp forms, Math. Ann. 346 (2010), no. 4, 897-929. MR 2587096, https://doi.org/10.1007/s00208-009-0419-4

[7]

Nikolaos Diamantis and Cormac O'Sullivan, Kernels for products of -functions, Algebra Number Theory 7 (2013), no. 8, 1883-1917. MR 3134038, https://doi.org/10.2140/ant.2013.7.1883

[8]

M. Kıral, Shifted Divisor Sum Dirichlet Series, preprint

[9]

N. I. Koblic, Non-integrality of the periods of cusp forms outside the critical strip, Funkcional. Anal. i Priložen. 9 (1975), no. 3, 52-55 (Russian). MR 0404144

[10]

Ju. I. Manin, Periods of cusp forms, and -adic Hecke series, Mat. Sb. (N.S.) 92(134) (1973), 378-401, 503 (Russian). MR 0345909

[11]

Mathew Rogers and Wadim Zudilin, From -series of elliptic curves to Mahler measures, Compos. Math. 148 (2012), no. 2, 385-414. MR 2904192, https://doi.org/10.1112/S0010437X11007342

[12]

Goro Shimura, The special values of the zeta functions associated with cusp forms, Comm. Pure Appl. Math. 29 (1976), no. 6, 783-804. MR 434962, https://doi.org/10.1002/cpa.3160290618

[13]

Maxim Kontsevich and Don Zagier, Periods, Mathematics unlimited--2001 and beyond, Springer, Berlin, 2001, pp. 771-808. MR 1852188

[14]

Vicenţiu Paşol and Alexandru A. Popa, Modular forms and period polynomials, Proc. Lond. Math. Soc. (3) 107 (2013), no. 4, 713-743. MR 3108829, https://doi.org/10.1112/plms/pdt003

[15]

D. Zagier, Modular forms whose Fourier coefficients involve zeta-functions of quadratic fields, Modular functions of one variable, VI (Proc. Second Internat. Conf., Univ. Bonn, Bonn, 1976) Springer, Berlin, 1977, pp. 105-169. Lecture Notes in Math., Vol. 627. MR 0485703