## Contents of Volume 53, Number 6

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- Miscellaneous front pages, Bull. Amer. Math. Soc., Volume 53, Number 6 (1947)
- Bull. Amer. Math. Soc.
**53**(1947)

- Miscellaneous back pages, Bull. Amer. Math. Soc., Volume 53, Number 6 (1947)
- Bull. Amer. Math. Soc.
**53**(1947)

- A simple proof that $\pi$ is irrational
- Ivan Niven PDF
- Bull. Amer. Math. Soc.
**53**(1947), 509

- On the non-summability $\left ( {C,1} \right )$ of Fourier series
- M. L. Misra PDF
- Bull. Amer. Math. Soc.
**53**(1947), 510-514

- Note on the derivatives of functions analytic in the unit circle
- J. L. Walsh PDF
- Bull. Amer. Math. Soc.
**53**(1947), 515-523

- A note on the minimum modulus of a class of integral functions
- S. M. Shah PDF
- Bull. Amer. Math. Soc.
**53**(1947), 524-529

- Mean values of periodic functions
- Paul Civin PDF
- Bull. Amer. Math. Soc.
**53**(1947), 530-535

- Some asymptotic formulas for multiplicative functions
- P. Erdös PDF
- Bull. Amer. Math. Soc.
**53**(1947), 536-544

- On a class of Taylor series
- V. F. Cowling PDF
- Bull. Amer. Math. Soc.
**53**(1947), 544-547

- On real continuous solutions of algebraic difference equations
- S. M. Shah PDF
- Bull. Amer. Math. Soc.
**53**(1947), 548-558

- Inner products in normed linear spaces
- Robert C. James PDF
- Bull. Amer. Math. Soc.
**53**(1947), 559-566

- Ternary Boolean algebra
- A. A. Grau PDF
- Bull. Amer. Math. Soc.
**53**(1947), 567-572

- Concerning automorphisms of non-associative algebras
- R. D. Schafer PDF
- Bull. Amer. Math. Soc.
**53**(1947), 573-583

- On the reduction of the conjugating representation of a finite group
- J. Sutherland Frame PDF
- Bull. Amer. Math. Soc.
**53**(1947), 584-589

- A note on finite abelian groups
- L. J. Paige PDF
- Bull. Amer. Math. Soc.
**53**(1947), 590-593

- On rings whose associated Lie rings are nilpotent
- S. A. Jennings PDF
- Bull. Amer. Math. Soc.
**53**(1947), 593-597

- A sum connected with the partition function
- Albert Leon Whiteman PDF
- Bull. Amer. Math. Soc.
**53**(1947), 598-603

- A prime-representing function
- W. H. Mills PDF
- Bull. Amer. Math. Soc.
**53**(1947), 604

- On the characteristic equations of certain matrices
- Alfred Brauer PDF
- Bull. Amer. Math. Soc.
**53**(1947), 605-607

- Note on Hadamard’s determinant theorem
- John Williamson PDF
- Bull. Amer. Math. Soc.
**53**(1947), 608-613

- A geometric theorem and its application to biorthogonal systems
- Angus E. Taylor PDF
- Bull. Amer. Math. Soc.
**53**(1947), 614-616

- Lattices of continuous functions
- Irving Kaplansky PDF
- Bull. Amer. Math. Soc.
**53**(1947), 617-623

- Linear topological division algebras
- Richard Arens PDF
- Bull. Amer. Math. Soc.
**53**(1947), 623-630

- On the topological product of paracompact spaces
- R. H. Sorgenfrey PDF
- Bull. Amer. Math. Soc.
**53**(1947), 631-632

- On restoring forces which admit forcing terms of non-critical amplitude
- Stephen H. Crandall PDF
- Bull. Amer. Math. Soc.
**53**(1947), 633-636