Ramanujan is recognized as one of the great number theorists of the twentieth century. Here now is the first book to provide an introduction to his work in number theory. Most of Ramanujan's work in number theory arose out of q -series and theta functions. This book provides an introduction...
Number Theory in the Spirit of Ramanujan Suitable for advanced undergraduates or beginning graduate students, this introduction to Ramanujan's work in q-series and theta functions also sets this g... BC Berndt - American Mathematical Society, 被引量: 524发表: 2006年 ...
摘要: Number theory and related topics : papers presented at the Ramanujan Colloquium, Bombay 1988 by Askey ... [et al.] (Tata Institute of Fundamental Research studies in mathematics, 12) Published for the Tata Institute of Fundamental Research, Bombay [by] Oxford University Press, 1989...
number theory (redirected fromNumber theorists) Also found in:Encyclopedia. Related to Number theorists:Number theory,Elementary number theory number theory n. The branch of mathematics that deals with the properties of integers. American Heritage® Dictionary of the English Language, Fifth Edition. ...
The place of an identity of Ramanujan in prime number theory. Proc. Indian Acad. Sci. Sect. A, 83(4):156-165, 1976.Balasubramanian, R., Ramachandra, K.: The place of an identity of Ramanujan in prime number theory. Proc. Indian Acad. Sci. Sect. A 83(4), 156-165 (1976). ...
Elementary Number Theory. Euclid's algorithm and Bezout's theorem. Arithmetic functions, multiplicative functions. The Mobius function; inversion formula. Dirichlet convolution, Dirichlet inverse. L-Functions and zeta functions.
H. Hardy (written from his death bed in 1920), Ramanujan wrote about a new beautiful theory of power series that he refers to as \mock theta functions". This small collection of enigmatic power series puzzled mathematicians for many decades. Then in 2002 Zwegers realized the meaning behind ...
However, Euler proved that its generating function takes the form ∑n=0∞p(n)xn=∏i=1∞11−xi. The partition theory plays a crucial role in many parts of mathematics and other sciences. In statistical mechanics, the well-known Rogers-Ramanujan identities are related to the solution of ...
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Number Theory in the Spirit of Ramanujan Suitable for advanced undergraduates or beginning graduate students, this introduction to Ramanujan's work in q-series and theta functions also sets this g... BC Berndt - American Mathematical Society, 被引量: 524发表: 2006年 Rigid analytic geometry and ...