Ramanujan Mathematical Society

RMS Lecture Notes Series in Mathematics
Number 1

Number Theory

Contents

1.	Preface	v
2.	Foreword	vii
3	Matrix Theoretic Interpretations of Four Analytic Identities
A. K. Agarwal		1–6
4.	Taylor–Wiles Systems
Eknath Ghate		7–14
5.	The Mellin Transform of the Fourth Power of Riemann’s Zeta-Function
Matti Jutila		15–29
6.	On Dirichlet L-Function Values at Rational Arguments
S. Kanemitsu, Y. Tanigawa and M. Yoshimoto		31–37
7.	Some Results and Problems on Arithmetical Functions
I. K´atai		39–50
8.	Some Results in Number Theory, II
V. Kumar Murty		51–55
9.	A New Theorem on Partitions
Padmavathamma, M. Ruby Salestina and S. R. Sudarshan		57–70
10.	A Survey on k–Freeness
Francesco Pappalardi		71–88
11.	Automorphic Forms and Dirichlet Series
S. Raghavan		89–95
12.	Nonvanishing of L-Functions of Cusp Forms Inside the Critical Strip
A. Raghuram		97–105
13.	Quadratic Reciprocity Via Theta Functions
M. Ram Murty and Allison Pacelli		107–116
14.	On an Arithmetical Inequality, III
S. Srinivasan		117–120
15.	Some Problems and Results in Arithmetic Functions
M. V. Subbarao		121–133
16.	Some Generalisations of Brauer–Rademacher Identity and Menon Sum Identity
V. V. Subrahmanya Sastri		135–141
17.	Central Extensions of a p-adic Division Algebra
B. Sury		143–153
18	On the GCD of an Infinite Number of Integers
T. N. Venkataramana		155–161

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