The Ramanujan Journal publishes original papers of the highest quality in all areas of mathematics influenced by Srinivasa Ramanujan. His remarkable discoveries have made a great impact on several branches of mathematics, revealing deep and fundamental connections. The following prioritized listing of topics of interest to the journal is not intended to be exclusive but to demonstrate the editorial policy of attracting papers which represent a broad range of interest: 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.
《拉马努金期刊》发表了受斯里尼瓦萨·拉马努金影响的所有数学领域的最高质量的原创论文。他的卓越发现对数学的几个分支产生了巨大的影响,揭示了深刻的和基本的联系。下面的主题优先列表感兴趣的杂志并不打算是排他性的,而是展示了吸引论文的编辑政策,代表了广泛的兴趣:超几何和基本超几何级数(q-级数)*分区,复合和组合分析*圆方法和渐近公式*模拟theta函数*椭圆和theta函数*模形式和自守函数*特殊函数和定积分*连分数*丢番图分析,包括无理性和超越*数论*傅里叶分析与应用于数论*李代数和q-级数之间的联系。
A control theorem for p -adic automorphic forms and Teitelbaum’s $$\\mathcal {L}$$ L -invariant
来源期刊:Ramanujan JournalDOI:10.1007/s11139-019-00160-1
Regular ternary polygonal forms
来源期刊:Ramanujan JournalDOI:10.1007/S11139-020-00282-X
The space of convolution identities on divisor functions
来源期刊:Ramanujan JournalDOI:10.1007/s11139-019-00190-9
On the set of divisors of Gaussian integers
来源期刊:Ramanujan JournalDOI:10.1007/S11139-019-00158-9
Arboretum for a generalisation of Ramanujan polynomials
来源期刊:Ramanujan JournalDOI:10.1007/s11139-019-00185-6
Distinct r-tuples in integer partitions
来源期刊:Ramanujan JournalDOI:10.1007/s11139-019-00180-x
On the Diophantine equation $$Cx^{2}+D=2y^{q}$$ C x 2 + D = 2 y q
来源期刊:Ramanujan JournalDOI:10.1007/S11139-019-00165-W
On the interlacing of the zeros of Poincaré series
来源期刊:Ramanujan JournalDOI:10.1007/S11139-019-00164-X
The asymptotic formula for the averages of the product of twisted L-functions
来源期刊:Ramanujan JournalDOI:10.1007/S11139-019-00168-7