000			a
999			_c30954 _d30954
008			220610b xxu||||| |||| 00| 0 eng d
020			_a9789811590962
082			_a515 _bSHO
100			_aShorey, Tarlok Nath
245			_aComplex analysis with applications to number theory
260			_bSpringer, _c2020 _aSingapore :
300			_axvi, 287 p. ; _c25 cm _bill.,
365			_b29.99 _cEUR _d86.00
490			_aInfosys Science Foundation series in mathematical sciences, _v2364-4036
504			_aInclude bibliographic references and index.
520			_aThe book discusses major topics in complex analysis with applications to number theory. This book is intended as a text for graduate students of mathematics, undergraduate students of engineering and researchers in fields of complex analysis and number theory. This theory is a prerequisite for the study of various areas of mathematics, including the theory of several finitely and infinitely complex variables, hyperbolic geometry, two- and three-manifolds, and number theory. In addition to solved examples and problems, the book covers most topics of current interest, such as Cauchy theorems, Picard's theorems, Riemann-Zeta function, Dirichlet theorem, Gamma function, and harmonic functions.
650			_aMathematical analysis
650			_aNumber theory
650			_aHyperbolic Geometry
650			_aCauchy theorems
650			_aPicard's theorems
650			_a Riemann-Zeta function
650			_aDirichlet theorem
650			_aGamma function
650			_aHarmonic function
650			_aAutomorphism
650			_aBaker theorem
650			_aCasorati-Weierstrass theorem
650			_aGel'fond-Schneider theorem
650			_aHadamard three-circle theorem
650			_aLandau theorem
650			_aMaximum modulus principle
650			_aRamanujan identity
650			_aSiegel
942			_2ddc _cBK