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PUBLICATIONS OF P. MONSKY:

1. On the automorphisms of hypersurfaces (with H. Matsumura), J. Math. Kyoto Univ. 3 (1963/64), 347-361.

2. Some properties of formal schemes (with G. Washnitzer), mimeographed notes, Princeton University, 1964.

3. The construction of formal cohomology sheaves (with G. Washnitzer), Proc. of the National Academy of Sciences U.S.A. 52 (1964), 1511-1514.

4. Formal cohomology - Part 1 (with G. Washnitzer), Annals of Math., Vol. 88, No. 2, September, 1968, pp. 181-217.

5. Formal cohomology - Part II, The cohomology sequence of a pair, annals of Math., Vol. 88, No. 2, September 1968, pp. 218-238.

6. On dividing a square into triangles, Amer. Math. Monthly, Vol. 77 No. 2, Feb. 1970, pp. 161-164.

7. P-adic Analysis and Zeta Functions, Lectures in Mathematics, Department of Mathematics of Kyoto University, Kyoto, Japan, 1970.

8. Formal cohomology - Part III, Fixed point theorems, Annals of Math., Vol. 93, No. 2, March 1971, pp. 315-343.

9. Finiteness of algebraic deRham cohomology, Amer. J. of Math., Vol. 94, January 1972, pp. 237-245.

10. One dimensional formal cohomology, Proc. of International Congress of Mathematicians, Nice 1970.

11. Angle-rational quadrilaterals, xeroxed typescript, 1976, available on request.

12. On p-adic power series. Math. Ann. 255, 217-227 (1981).

13. Some invariants of (Zp)d -extensions. Math. Ann 255, 229- 233 (1981).

14. Class numbers in (Zp)d -extensions. Math Ann. 255, 235- 258 (1981).

15. The Hilbert-Kunz function, Math. Ann. 263, 43-49 (1983).

16. p-ranks of class groups in (Zp)d -extensions. Math. Ann. 263, 509-514 (1983).

17. Class numbers in (Zp)d -extensions II. Math Z. 191, 377- 395 (1986).

18. Class numbers in (Zp)d -extensions III. Math. Z. 193, 491- 514 (1986).

19. Class numbers in (Zp)d -extensions IV. Math. Z 196, 547- 572 (1987).

20. Fine estimates for the growth of en in (Zp)d -extensions, Advanced Studies in Pure Mathematics, 17, 1989, pp. 309-330.

21. Mock Heegner points and congruent numbers, Math. Z. 204, 45-68 (1990).

22. A conjecture of Stein on plane dissections. Math. Z. 205, 583-592 (1990).

23. Three constructions of rational points on Y 2=X 3 + NX, Math. Z. 209, 445-462 (1992), Math Z. 212, 141 (1993).

24. Some surprising Hilbert-Kunz functions (with C. Han). Math Z. 214, 119-135 (1993).

25. Addendum to O. Heden, "On the modular n-queen problem", Discrete Mathematics 118, 293 (1993).

26. Simplifying the proof of Dirichlet's theorem, Amer. Math Monthly 100, 861-862 (1993).

27. Appendix to D. R. Heath-Brown, "The size of Selmer groups for the congruent number problem II", Invent. Math. 118, 365-370 (1994).

28. Generalizing the Birch-Stephens Theorem, I. Modular Curves, Math Z. 221, 415-420 (1996).

29. Calculating a trapezoidal spectrum, Amer. Math. Monthly 103, 500-501 (1996).

30. The Hilbert-Kunz function of a characteristic 2 cubic, J. of Algebra 197, 268-277 (1997).

31. Hilbert-Kunz functions in a family: point-S4 quartics, J. of Algebra 208, 343-358 (1998).

32. Hilbert-Kunz functions in a family: line-S4 quartics, J. of Algebra 208, 359-371 (1998). 

33. Kepler’s First Law -A Remark, Amer. Math Monthly 114 (No. 2), 355-356 (2004). 

34. p-Fractals and Power Series-I (with P. Teixeira). J. of Algebra 280 (No. 2), 505-535 (2004). 

35. Hilbert-Kunz functions of normal rings, (with C. Huneke and M. Mcdermott). Math. Res. Lett. 11 (No. 4), 539-546 (2004).

36. On the Hilbert-Kunz function of zD -p4(x,y), submitted to J. of Algebra.

This page was last modified on September 02, 2005