Abstract
We highlight modular equations due to Ramanujan and Somos and use them to prove new relations between lattice sums and hypergeometric functions.We also discuss progress towards solving Boyd's Mahler measure conjectures. Finally, we conjecture a new formula for L(E,2) of conductor 17 elliptic curves. © Springer Science+Business Media New York 2013.
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Rogers, M., & Yuttanan, B. (2013). Modular Equations and Lattice Sums. In Springer Proceedings in Mathematics and Statistics (Vol. 50, pp. 667–680). Springer New York LLC. https://doi.org/10.1007/978-1-4614-7621-4_30
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