斯里尼瓦薩·拉馬努揚(yáng)的驚人發(fā)現(xiàn)對(duì)數(shù)學(xué)的幾個(gè)分支產(chǎn)生了巨大的影響，揭示了深刻而基本的聯(lián)系。該雜志出版的論文質(zhì)量最高，在所有領(lǐng)域的數(shù)學(xué)受拉瑪努揚(yáng)的影響，包括:超幾何和基本超幾何級(jí)數(shù)(q系列)*分區(qū),成分和組合分析*圈法和漸近公式*模擬θ的函數(shù)*橢圓函數(shù)和θ*模塊化形式和自同構(gòu)的功能*特殊功能和定積分*繼續(xù)分?jǐn)?shù)*丟番圖分析包括非理性和超越*數(shù)論*傅里葉分析與應(yīng)用數(shù)論*李代數(shù)之間的連接和q系列。

The remarkable discoveries made by Srinivasa Ramanujan have made a great impact on several branches of mathematics, revealing deep and fundamental connections. This journal publishes papers of the highest quality in all areas of mathematics influenced by Ramanujan, including:Hyper-geometric and basic hyper-geometric series (q-series) * Partitions, compositions and combinatory analysis * Circle method and asymptotic formulae * Mock theta functions * Elliptic and theta functions * Modular forms and automorphic functions * Special functions and definite integrals * Continued fractions * Diophantine analysis including irrationality and transcendence * Number theory * Fourier analysis with applications to number theory * Connections between Lie algebras and q-series.