Primes in Arithmetic Progressions to Large Moduli I: Fixed Residue Classes

Publishing rigorous mathematical research, these memoirs compile extended studies into cohesive volumes of pure and applied mathematics. Each paper is meticulously peer-reviewed under the vigilant oversight of an expert Editorial Committee from the AMS Transactions journal, offering a valuable resource for mathematical inquiry.
The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.

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