Research

Area of Specialization : Analytic Number Theory -
Visit the Number Theory Research Site at UIUC, or The Number Theory Web Site

Thesis: Sums of Arithmetic Functions over Integers Without Large Prime Factors and Related Differential Difference Equations - University of Illinois

Papers
1. Sums of Nonnegative Multiplicative Functions over Integers without Large Prime Factors, (pdf format) Acta Arith., 97, 4 (2001), 329-351
2. Sums of Nonnegative Multiplicative Functions over Integers without Large Prime factors II, (pdf format) Acta Arith., 102, 2 (2002), 105-129
3. Sums of multiplicative functions over integers without large prime factors and related differential difference equations (Thesis) (pdf format)
4. Sum of arithmetic functions over y-sifted integers (in preparation)
5. Further properties of differential difference equations related to sieve (in preparation)

Notes on circle method - (Excerpt from lecture notes given by H. Halberstam at UIUC, Spring of 1995)
- Waring's problem
- Goldbach Conjecture (pdf)
- Vinogradov's Mean Value Theorem (pdf)
- Roth's Theorem (pdf)

Notes on Density of Rational points on algebraic varieties (Sogang University, Winter 2004)

PhD Ancestors