@inproceedings{82644a980b7a427f8436c39987e5e63f,

title = "The Influence of Carr{\textquoteright}s Synopsis on Ramanujan",

abstract = "Almost all biographers of Ramanujan (e.g., P.V. Seshu Aiyar and R. Ramachandra Rao [13, p. xii]) point to G.S. Carr{\textquoteright}s A Synopsis of Elementary Results in Pure Mathematics [10] as the book which kindled the fire of Ramanujan{\textquoteright}s devotion to mathematics. How much did Carr{\textquoteright}s Synopsis influence Ramanujan? Which published papers and which entries in his notebooks [14] have their seeds in the Synopsis? We cannot provide definitive answers to these questions, because we know very little about the other books Ramanujan might have studied in his formative years. However, upon a close examination of Carr{\textquoteright}s book, we can suggest some topics which Ramanujan might have learned from Carr.",

keywords = "Continue Fraction, Integral Calculus, Elliptic Integral, Pure Mathematic, Infinite Series",

author = "Berndt, {Bruce C.}",

note = "Reprinted from it Ramanujan: essays and surveys [Amer. Math. Soc., Providence, RI, 2001; MR1862735]",

year = "2002",

doi = "10.1007/978-3-0348-8223-1_3",

language = "English (US)",

isbn = "978-3-0348-9481-4",

series = "Trends Math.",

publisher = "Birkh{\"a}user",

pages = "31--35",

editor = "Agarwal, {A K} and Berndt, {Bruce C} and Krattenthaler, {Christian F} and Mullen, {Gary L} and K Ramachandra and Michel Waldschmidt",

booktitle = "Number Theory and Discrete Mathematics",

address = "Switzerland",

}